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% sevenpack version 0.7.10
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% --- Timezone: UTC
% Creation date: 2019-08-25
% Creation time: 20-26-21
% --- Number of references
% 172
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@Article { MR3902464,
title = {Nonuniqueness for the kinetic Fokker-Planck equation with inelastic boundary conditions},
journal = {Arch. Ration. Mech. Anal.},
year = {2019},
volume = {231},
number = {3},
pages = {1309--1400},
DOI = {10.1007/s00205-018-1299-0},
author = {Hwang, Hyung Ju and Jang, Juhi and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3897919,
title = {On the structure of the singular set for the kinetic Fokker-Planck equations in domains with boundaries},
journal = {Quart. Appl. Math.},
year = {2019},
volume = {77},
number = {1},
pages = {19--70},
DOI = {10.1090/qam/1507},
author = {Hwang, Hyung Ju and Jang, Juhi and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3870575,
title = {Self-similar asymptotic behavior for the solutions of a linear coagulation equation},
journal = {J. Differential Equations},
year = {2019},
volume = {266},
number = {1},
pages = {653--715},
DOI = {10.1016/j.jde.2018.07.059},
author = {Niethammer, Barbara and Nota, Alessia and Throm, Sebastian and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3900814,
title = {Self-similar profiles for homoenergetic solutions of the Boltzmann equation: particle velocity distribution and entropy},
journal = {Arch. Ration. Mech. Anal.},
year = {2019},
volume = {231},
number = {2},
pages = {787--843},
DOI = {10.1007/s00205-018-1289-2},
author = {James, Richard D. and Nota, Alessia and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3825942,
title = {From a non-Markovian system to the Landau equation},
journal = {Comm. Math. Phys.},
year = {2018},
volume = {361},
number = {1},
pages = {239--287},
DOI = {10.1007/s00220-018-3092-1},
author = {Vel{\~A}¡zquez, Juan J. L. and Winter, Raphael}
}
@Article { MR3770966,
title = {On the theory of Lorentz gases with long range interactions},
journal = {Rev. Math. Phys.},
year = {2018},
volume = {30},
number = {3},
pages = {1850007, 62},
DOI = {10.1142/S0129055X18500071},
author = {Nota, Alessia and Simonella, Sergio and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3810852,
title = {Oscillatory dynamics in Smoluchowski's coagulation equation with diagonal kernel},
journal = {Kinet. Relat. Models},
year = {2018},
volume = {11},
number = {4},
pages = {933--952},
DOI = {10.3934/krm.2018037},
author = {Lauren{\~A}§ot, Philippe and Niethammer, Barbara and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3733098,
title = {Oscillatory traveling wave solutions for coagulation equations},
journal = {Quart. Appl. Math.},
year = {2018},
volume = {76},
number = {1},
pages = {153--188},
DOI = {10.1090/qam/1478},
author = {Niethammer, B. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3783090,
title = {Self-similar lifting and persistent touch-down points in the thin-film equation},
journal = {SIAM J. Math. Anal.},
year = {2018},
volume = {50},
number = {2},
pages = {1900--1917},
DOI = {10.1137/17M1141485},
author = {Cuesta, Carlota M. and Kn{\~A}¼pfer, Hans and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3772196,
title = {Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity smaller than one},
journal = {Comm. Partial Differential Equations},
year = {2018},
volume = {43},
number = {1},
pages = {82--117},
DOI = {10.1080/03605302.2018.1437447},
author = {Bonacini, Marco and Niethammer, Barbara and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3744384,
title = {The method of reflections, homogenization and screening for Poisson and Stokes equations in perforated domains},
journal = {Arch. Ration. Mech. Anal.},
year = {2018},
volume = {227},
number = {3},
pages = {1165--1221},
DOI = {10.1007/s00205-017-1182-4},
author = {H{\~A}¶fer, Richard M. and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3859524,
title = {The two-particle correlation function for systems with long-range interactions},
journal = {J. Stat. Phys.},
year = {2018},
volume = {173},
number = {1},
pages = {1--41},
DOI = {10.1007/s10955-018-2121-y},
author = {Vel{\~A}¡zquez, Juan J. L. and Winter, Raphael}
}
@Article { Rendall2017,
title = {Veiled Singularities for the Spherically Symmetric Massless Einstein--Vlasov System},
journal = {Annales Henri Poincar{\~A}©},
year = {2017},
day = {1},
volume = {18},
number = {11},
pages = {3565--3631},
ISSN = {1424-0661},
DOI = {10.1007/s00023-017-0607-9},
author = {Rendall, Alan D. and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3580097,
title = {Instabilities and oscillations in coagulation equations with kernels of homogeneity one},
journal = {Quart. Appl. Math.},
year = {2017},
volume = {75},
number = {1},
pages = {105--130},
DOI = {10.1090/qam/1454},
author = {Herrmann, Michael and Niethammer, Barbara and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3668614,
title = {On the growth of a particle coalescing in a Poisson distribution of obstacles},
journal = {Comm. Math. Phys.},
year = {2017},
volume = {354},
number = {3},
pages = {957--1013},
DOI = {10.1007/s00220-017-2929-3},
author = {Nota, Alessia and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3719503,
title = {Veiled singularities for the spherically symmetric massless Einstein-Vlasov system},
journal = {Ann. Henri Poincar{\~A}©},
year = {2017},
volume = {18},
number = {11},
pages = {3565--3631},
DOI = {10.1007/s00023-017-0607-9},
author = {Rendall, Alan D. and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3513258,
title = {A uniqueness result for self-similar profiles to Smoluchowski's coagulation equation revisited},
journal = {J. Stat. Phys.},
year = {2016},
volume = {164},
number = {2},
pages = {399--409},
DOI = {10.1007/s10955-016-1553-5},
author = {Niethammer, B. and Throm, S. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3582559,
title = {Hopf bifurcation in structural population models},
journal = {Math. Methods Appl. Sci.},
year = {2016},
volume = {39},
number = {18},
pages = {5258--5280},
DOI = {10.1002/mma.3913},
author = {Hovsepyan, Narek and Vel{\~A}¡zquez, Juan L.}
}
@Article { MR3563782,
title = {Interfaces determined by capillarity and gravity in a two-dimensional porous medium},
journal = {Interfaces Free Bound.},
year = {2016},
volume = {18},
number = {3},
pages = {355--391},
DOI = {10.4171/IFB/367},
author = {Calle, Maria and Cuesta, Carlota Maria and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3551272,
title = {Mathematical analysis of a coarsening model with local interactions},
journal = {J. Nonlinear Sci.},
year = {2016},
volume = {26},
number = {5},
pages = {1227--1291},
DOI = {10.1007/s00332-016-9304-y},
author = {Helmers, Michael and Niethammer, Barbara and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3503268,
title = {On self-similar solutions to a kinetic equation arising in weak turbulence theory for the nonlinear Schr{\~A}¶dinger equation},
journal = {J. Stat. Phys.},
year = {2016},
volume = {163},
number = {6},
pages = {1350--1393},
DOI = {10.1007/s10955-016-1505-0},
author = {Kierkels, A. H. M. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3542612,
title = {Self-similar solutions with fat tails for Smoluchowski's coagulation equation with singular kernels},
journal = {Ann. Inst. H. Poincar{\~A}© Anal. Non Lin{\~A}©aire},
year = {2016},
volume = {33},
number = {5},
pages = {1223--1257},
DOI = {10.1016/j.anihpc.2015.04.002},
author = {Niethammer, B. and Throm, S. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3369896,
title = {Blow-up rate estimates for the solutions of the bosonic Boltzmann-Nordheim equation},
journal = {J. Math. Phys.},
year = {2015},
volume = {56},
number = {6},
pages = {063302, 27},
DOI = {10.1063/1.4921917},
author = {Bandyopadhyay, J. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3348139,
title = {Finite time blow-up and condensation for the bosonic Nordheim equation},
journal = {Invent. Math.},
year = {2015},
volume = {200},
number = {3},
pages = {761--847},
DOI = {10.1007/s00222-014-0539-7},
author = {Escobedo, M. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3402382,
title = {On the theory of weak turbulence for the nonlinear Schr{\~A}¶dinger equation},
journal = {Mem. Amer. Math. Soc.},
year = {2015},
volume = {238},
number = {1124},
pages = {v+107},
ISBN = {978-1-4704-1434-4; 978-1-4704-2611-8},
DOI = {10.1090/memo/1124},
author = {Escobedo, M. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3332943,
title = {On the transfer of energy towards infinity in the theory of weak turbulence for the nonlinear Schr{\~A}¶dinger equation},
journal = {J. Stat. Phys.},
year = {2015},
volume = {159},
number = {3},
pages = {668--712},
DOI = {10.1007/s10955-015-1194-0},
author = {Kierkels, A. H. M. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3274437,
title = {Dynamical properties of models for the Calvin cycle},
journal = {J. Dynam. Differential Equations},
year = {2014},
volume = {26},
number = {3},
pages = {673--705},
DOI = {10.1007/s10884-014-9385-y},
author = {Rendall, Alan D. and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3158778,
title = {Existence of solutions describing accumulation in a thin-film flow},
journal = {SIAM J. Appl. Dyn. Syst.},
year = {2014},
volume = {13},
number = {1},
pages = {47--93},
DOI = {10.1137/120898930},
author = {Cuesta, C. M. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3259558,
title = {Exponential tail behavior of self-similar solutions to Smoluchowski's coagulation equation},
journal = {Comm. Partial Differential Equations},
year = {2014},
volume = {39},
number = {12},
pages = {2314--2350},
DOI = {10.1080/03605302.2014.918143},
author = {Niethammer, B. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3111877,
title = {Global solutions to a chemotaxis system with non-diffusive memory},
journal = {J. Math. Anal. Appl.},
year = {2014},
volume = {410},
number = {2},
pages = {908--917},
DOI = {10.1016/j.jmaa.2013.08.065},
author = {Sugiyama, Y. and Tsutsui, Y. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3195075,
title = {Kinetic theory and numerical simulations of two-species coagulation},
journal = {Kinet. Relat. Models},
year = {2014},
volume = {7},
number = {2},
pages = {253--290},
DOI = {10.3934/krm.2014.7.253},
author = {Escudero, Carlos and Maci{\~A} , Fabricio and Toral, Ra{\~A}ºl and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3215584,
title = {On the blow up and condensation of supercritical solutions of the Nordheim equation for bosons},
journal = {Comm. Math. Phys.},
year = {2014},
volume = {330},
number = {1},
pages = {331--365},
DOI = {10.1007/s00220-014-2034-9},
author = {Escobedo, M. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3269636,
title = {Rate-independent dynamics and Kramers-type phase transitions in nonlocal Fokker-Planck equations with dynamical control},
journal = {Arch. Ration. Mech. Anal.},
year = {2014},
volume = {214},
number = {3},
pages = {803--866},
DOI = {10.1007/s00205-014-0782-5},
author = {Herrmann, Michael and Niethammer, Barbara and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3237885,
title = {The Fokker-Planck equation with absorbing boundary conditions},
journal = {Arch. Ration. Mech. Anal.},
year = {2014},
volume = {214},
number = {1},
pages = {183--233},
DOI = {10.1007/s00205-014-0758-5},
author = {Hwang, Hyung Ju and Jang, Juhi and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3249909,
title = {Uniqueness of self-similar solutions to Smoluchowski's coagulation equations for kernels that are close to constant},
journal = {J. Stat. Phys.},
year = {2014},
volume = {157},
number = {1},
pages = {158--181},
DOI = {10.1007/s10955-014-1070-3},
author = {Niethammer, B. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3053994,
title = {A 2D-model of cell sorting induced by propagation of chemical signals along spiral waves},
journal = {Comm. Partial Differential Equations},
year = {2013},
volume = {38},
number = {6},
pages = {1069--1122},
DOI = {10.1080/03605302.2012.759970},
author = {Kang, K. and Primi, I. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3042460,
title = {Ant foraging and geodesic paths in labyrinths: analytical and computational results},
journal = {J. Theoret. Biol.},
year = {2013},
volume = {320},
pages = {100--112},
DOI = {10.1016/j.jtbi.2012.11.025},
author = {Vela-P{\~A}©rez, M. and Fontelos, M. A. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3043331,
title = {Bistable stochastic biochemical networks: highly specific systems with few chemicals},
journal = {J. Math. Chem.},
year = {2013},
volume = {51},
number = {5},
pages = {1343--1375},
DOI = {10.1007/s10910-013-0150-y},
author = {Hwang, Hyung Ju and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3103430,
title = {Bistable stochastic biochemical networks: large chemical networks and systems with many molecules},
journal = {J. Math. Chem.},
year = {2013},
volume = {51},
number = {8},
pages = {2074--2103},
DOI = {10.1007/s10910-013-0200-5},
author = {Hwang, Hyung Ju and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3020167,
title = {Erratum to: Self-similar solutions with fat tails for Smoluchowski's coagulation equation with locally bounded kernels [MR3020166]},
journal = {Comm. Math. Phys.},
year = {2013},
volume = {318},
number = {2},
pages = {533--534},
DOI = {10.1007/s00220-013-1661-x},
author = {Niethammer, B. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3028070,
title = {Fluid accumulation in thin-film flows driven by surface tension and gravity},
journal = {Appl. Math. Lett.},
year = {2013},
volume = {26},
number = {6},
pages = {649--653},
DOI = {10.1016/j.aml.2013.01.005},
author = {Cuesta, C. M. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3072355,
title = {Friction dominated dynamics of interacting particles locally close to a crystallographic lattice},
journal = {Math. Methods Appl. Sci.},
year = {2013},
volume = {36},
number = {10},
pages = {1206--1228},
DOI = {10.1002/mma.2672},
author = {Bodnar, M. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3009645,
title = {Local well posedness for a linear coagulation equation},
journal = {Trans. Amer. Math. Soc.},
year = {2013},
volume = {365},
number = {4},
pages = {1743--1808},
DOI = {10.1090/S0002-9947-2012-05576-0},
author = {Escobedo, M. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3007892,
title = {Multiple peak aggregations for the Keller-Segel system},
journal = {Nonlinearity},
year = {2013},
volume = {26},
number = {2},
pages = {319--352},
DOI = {10.1088/0951-7715/26/2/319},
author = {Seki, Yukihiro and Sugiyama, Yoshie and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR2975131,
title = {On global existence of classical solutions for the Vlasov-Poisson system in convex bounded domains},
journal = {Discrete Contin. Dyn. Syst.},
year = {2013},
volume = {33},
number = {2},
pages = {723--737},
DOI = {10.3934/dcds.2013.33.723},
author = {Hwang, Hyung Ju and Jung, Jaewoo and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3043943,
title = {Pattern forming instabilities driven by non-diffusive interactions},
journal = {Netw. Heterog. Media},
year = {2013},
volume = {8},
number = {1},
pages = {397--432},
DOI = {10.3934/nhm.2013.8.397},
author = {Primi, Ivano and Stevens, Angela and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR3020166,
title = {Self-similar solutions with fat tails for Smoluchowski's coagulation equation with locally bounded kernels},
journal = {Comm. Math. Phys.},
year = {2013},
volume = {318},
number = {2},
pages = {505--532},
DOI = {10.1007/s00220-012-1553-5},
author = {Niethammer, B. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR2982724,
title = {Analysis of oscillations in a drainage equation},
journal = {SIAM J. Math. Anal.},
year = {2012},
volume = {44},
number = {3},
pages = {1588--1616},
DOI = {10.1137/110842831},
author = {Cuesta, C. M. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR2948290,
title = {Classical non-mass-preserving solutions of coagulation equations},
journal = {Ann. Inst. H. Poincar{\~A}© Anal. Non Lin{\~A}©aire},
year = {2012},
volume = {29},
number = {4},
pages = {589--635},
DOI = {10.1016/j.anihpc.2012.03.001},
author = {Escobedo, M. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR2891359,
title = {Corrigendum to {\^a}??An integro-differential equation model for alignment and orientational aggregation{\^a}?? [J. Differential Equations 246 (4) (2009) 1387--1421] [MR2488690]},
journal = {J. Differential Equations},
year = {2012},
volume = {252},
number = {9},
pages = {5125--5128},
DOI = {10.1016/j.jde.2012.01.039},
author = {Kang, Kyungkeun and Perthame, Benoit and Stevens, Angela and Vel{\~A}¡zquez, J. J. L.}
}
@Article { LSV1,
title = {Finite time blow-up and condensation for the bosonic Nordheim equation},
journal = {Arch. Rat. Mech. Anal.},
year = {2012},
volume = {206},
pages = {31-80},
author = {Luckhaus, S. and Sugiyama, Y. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR3022023,
title = {Kramers and non-Kramers phase transitions in many-particle systems with dynamical constraint},
journal = {Multiscale Model. Simul.},
year = {2012},
volume = {10},
number = {3},
pages = {818--852},
DOI = {10.1137/110851882},
author = {Herrmann, Michael and Niethammer, Barbara and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR2968590,
title = {Measure valued solutions of the 2D Keller-Segel system},
journal = {Arch. Ration. Mech. Anal.},
year = {2012},
volume = {206},
number = {1},
pages = {31--80},
DOI = {10.1007/s00205-012-0549-9},
author = {Luckhaus, S. and Sugiyama, Y. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR2924429,
title = {The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems},
journal = {Discrete Contin. Dyn. Syst. Ser. B},
year = {2012},
volume = {17},
number = {6},
pages = {1605--1638},
DOI = {10.3934/dcdsb.2012.17.1605},
author = {Aguareles, Maria and Fontelos, Marco A. and Vel{\~A}¡zquez, Juan J.}
}
@Article { MR2802386,
title = {A class of dust-like self-similar solutions of the massless Einstein-Vlasov system},
journal = {Ann. Henri Poincar{\~A}©},
year = {2011},
volume = {12},
number = {5},
pages = {919--964},
DOI = {10.1007/s00023-011-0094-3},
author = {Rendall, Alan D. and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR2820036,
title = {Asymptotics of self-similar solutions to coagulation equations with product kernel},
journal = {J. Stat. Phys.},
year = {2011},
volume = {144},
number = {1},
pages = {76--100},
DOI = {10.1007/s10955-011-0239-2},
author = {McLeod, J. B. and Niethammer, B. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR2852069,
title = {Optimal bounds for self-similar solutions to coagulation equations with product kernel},
journal = {Comm. Partial Differential Equations},
year = {2011},
volume = {36},
number = {12},
pages = {2049--2061},
DOI = {10.1080/03605302.2011.563403},
author = {Niethammer, B. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR2781595,
title = {Optimal gradient estimates and asymptotic behaviour for the Vlasov-Poisson system with small initial data},
journal = {Arch. Ration. Mech. Anal.},
year = {2011},
volume = {200},
number = {1},
pages = {313--360},
DOI = {10.1007/s00205-011-0405-3},
author = {Hwang, Hyung Ju and Rendall, Alan and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR2766895,
title = {Self-similar blow up with a continuous range of values of the aggregated mass for a degenerate Keller-Segel system},
journal = {Adv. Differential Equations},
year = {2011},
volume = {16},
number = {1-2},
pages = {85--112},
author = {Sugiyama, Y. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR2802924,
title = {Self-similar solutions with fat tails for a coagulation equation with diagonal kernel},
journal = {C. R. Math. Acad. Sci. Paris},
year = {2011},
volume = {349},
number = {9-10},
pages = {559--562},
DOI = {10.1016/j.crma.2011.03.017},
author = {Niethammer, Barbara and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR2654245,
title = {A note on non-simultaneous blow-up for a drift-diffusion model},
journal = {Differential Integral Equations},
year = {2010},
volume = {23},
number = {5-6},
pages = {451--462},
author = {Espejo, E. E. and Stevens, A. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR2591973,
title = {Global existence for the Vlasov-Poisson system in bounded domains},
journal = {Arch. Ration. Mech. Anal.},
year = {2010},
volume = {195},
number = {3},
pages = {763--796},
DOI = {10.1007/s00205-009-0239-4},
author = {Hwang, Hyung Ju and Vel{\~A}¡zquez, Juan J. L.}
}
@Article { MR2653902,
title = {On the fundamental solution of a linearized homogeneous coagulation equation},
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title = {Qualitative behavior of a Keller-Segel model with non-diffusive memory},
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volume = {35},
number = {2},
pages = {245--274},
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title = {Two-species-coagulation approach to consensus by group level interactions},
journal = {Phys. Rev. E (3)},
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volume = {82},
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title = {An integro-differential equation model for alignment and orientational aggregation},
journal = {J. Differential Equations},
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volume = {246},
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title = {Mass-selection in alignment models with non-deterministic effects},
journal = {Comm. Partial Differential Equations},
year = {2009},
volume = {34},
number = {4-6},
pages = {419--456},
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title = {On global existence for the Vlasov-Poisson system in a half space},
journal = {J. Differential Equations},
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volume = {247},
number = {6},
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title = {On the existence of exponentially decreasing solutions of the nonlinear Landau damping problem},
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year = {2009},
volume = {58},
number = {6},
pages = {2623--2660},
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author = {Hwang, Hyung Ju and Vel{\~A}¡zquez, Juan J. L.}
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title = {Self-similar solutions for the LSW model with encounters},
journal = {J. Differential Equations},
year = {2009},
volume = {247},
number = {8},
pages = {2282--2309},
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title = {Simultaneous finite time blow-up in a two-species model for chemotaxis},
journal = {Analysis (Munich)},
year = {2009},
volume = {29},
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title = {A derivation of a new set of equations at the onset of the Bose-Einstein condensation},
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title = {A kinetic model for grain growth},
journal = {Kinet. Relat. Models},
year = {2008},
volume = {1},
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title = {On screening induced fluctuations in Ostwald ripening},
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volume = {130},
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title = {Partial differential equations and non-diffusive structures},
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volume = {21},
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pages = {T283--T289},
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title = {Self-similar behaviour for noncompactly supported solutions of the LSW model},
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title = {Singular solutions for the Uehling-Uhlenbeck equation},
journal = {Proc. Roy. Soc. Edinburgh Sect. A},
year = {2008},
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title = {On the fundamental solution of a linearized Uehling-Uhlenbeck equation},
journal = {Arch. Ration. Mech. Anal.},
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title = {An integro-differential equation arising as a limit of individual cell-based models},
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title = {Global stability and bounds for coarsening rates within the mean-field theory for domain coarsening},
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title = {On the convergence to the smooth self-similar solution in the LSW model},
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title = {On the dynamics of the characteristic curves for the LSW model},
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year = {2006},
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title = {Screening in interacting particle systems},
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year = {2006},
volume = {180},
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title = {On the effect of correlations, fluctuations and collisions in Ostwald ripening},
year = {2006},
pages = {501--530},
publisher = {Springer, Berlin},
booktitle = {Analysis, modeling and simulation of multiscale problems},
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title = {Singular solutions of partial differential equations modelling chemotactic aggregation},
year = {2006},
pages = {321--338},
publisher = {Eur. Math. Soc., Z{\~A}¼rich},
booktitle = {International Congress of Mathematicians. Vol. III},
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title = {Derivation of macroscopic equations for individual cell-based models: a formal approach},
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volume = {28},
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title = {Grow-up on the boundary for a semilinear parabolic problem},
year = {2005},
volume = {64},
pages = {137--150},
publisher = {Birkh{\~A}¤user, Basel},
series = {Progr. Nonlinear Differential Equations Appl.},
booktitle = {Nonlinear elliptic and parabolic problems},
DOI = {10.1007/3-7643-7385-7_8},
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title = {Asymptotic description of Dirac mass formation in kinetic equations for quantum particles},
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title = {Homogenization in coarsening systems. I. Deterministic case},
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volume = {14},
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title = {Homogenization in coarsening systems. II. Stochastic case},
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volume = {14},
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title = {On the growth of filamentary structures in planar media},
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volume = {27},
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title = {Point dynamics in a singular limit of the Keller-Segel model. I. Motion of the concentration regions},
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title = {Point dynamics in a singular limit of the Keller-Segel model. II. Formation of the concentration regions},
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title = {Well-posedness of a model of point dynamics for a limit of the Keller-Segel system},
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year = {2004},
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title = {Asymptotic behaviour (t{\^a}??\textbackslash!+\textbackslash 0) of the interface for the critical case of undercooled Stefan problem},
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title = {A note on the dissolution of spherical crystals},
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title = {A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions},
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title = {Pile-up solutions for a mixed system of conservation laws modelling dislocation interaction in crystals},
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title = {Singularity formation for the Stefan problem},
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title = {A blow-up mechanism for a chemotaxis model},
journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)},
year = {1997},
volume = {24},
number = {4},
pages = {633--683 (1998)},
author = {Herrero, Miguel A. and Vel{\~A}¡zquez, Juan J. L.}
}
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title = {Asymptotics of the trap-dominated Gunn effect in p-type Ge},
journal = {Phys. D},
year = {1997},
volume = {108},
number = {1-2},
pages = {168--190},
DOI = {10.1016/S0167-2789(97)82012-X},
author = {Bonilla, L. L. and Hernando, P. J. and Herrero, M. A. and Kindelan, M. and Vel{\~A}¡zquez, J. J. L.}
}
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title = {Cusp formation for the undercooled Stefan problem in two and three dimensions},
journal = {European J. Appl. Math.},
year = {1997},
volume = {8},
number = {1},
pages = {1--21},
author = {Vel{\~A}¡zquez, Juan J. L.}
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title = {Degenerate neckpinches in mean curvature flow},
journal = {J. Reine Angew. Math.},
year = {1997},
volume = {482},
pages = {15--66},
DOI = {10.1515/crll.1997.482.15},
author = {Angenent, S. B. and Vel{\~A}¡zquez, J. J. L.}
}
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title = {Finite-time aggregation into a single point in a reaction-diffusion system},
journal = {Nonlinearity},
year = {1997},
volume = {10},
number = {6},
pages = {1739--1754},
DOI = {10.1088/0951-7715/10/6/016},
author = {Herrero, M. A. and Medina, E. and Vel{\~A}¡zquez, J. J. L.}
}
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title = {Liouville theorems and blow up behaviour in semilinear reaction diffusion systems},
journal = {Ann. Inst. H. Poincar{\~A}© Anal. Non Lin{\~A}©aire},
year = {1997},
volume = {14},
number = {1},
pages = {1--53},
DOI = {10.1016/S0294-1449(97)80148-5},
author = {Andreucci, D. and Herrero, M. A. and Vel{\~A}¡zquez, J. J. L.}
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title = {Liouville type theorems for fourth order elliptic equations in a half plane},
journal = {Trans. Amer. Math. Soc.},
year = {1997},
volume = {349},
number = {7},
pages = {2537--2603},
DOI = {10.1090/S0002-9947-97-01955-7},
author = {Friedman, Avner and Vel{\~A}¡zquez, Juan J. L.}
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title = {On the melting of ice balls},
journal = {SIAM J. Math. Anal.},
year = {1997},
volume = {28},
number = {1},
pages = {1--32},
DOI = {10.1137/S0036141095282152},
author = {Herrero, Miguel A. and Vel{\~A}¡zquez, Juan J. L.}
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title = {Time-dependent coating flows in a strip. I. The linearized problem},
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year = {1997},
volume = {349},
number = {8},
pages = {2981--3074},
DOI = {10.1090/S0002-9947-97-01956-9},
author = {Friedman, Avner and Vel{\~A}¡zquez, Juan J. L.}
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title = {Chemotactic collapse for the Keller-Segel model},
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year = {1996},
volume = {35},
number = {2},
pages = {177--194},
DOI = {10.1007/s002850050049},
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}
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title = {Singularity formation in the one-dimensional supercooled Stefan problem},
journal = {European J. Appl. Math.},
year = {1996},
volume = {7},
number = {2},
pages = {119--150},
DOI = {10.1017/S0956792500002266},
author = {Herrero, Miguel A. and Vel{\~A}¡zquez, Juan J. L.}
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title = {Singularity patterns in a chemotaxis model},
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year = {1996},
volume = {306},
number = {3},
pages = {583--623},
DOI = {10.1007/BF01445268},
author = {Herrero, Miguel A. and Vel{\~A}¡zquez, Juan J. L.}
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title = {Asymptotic shape of cusp singularities in curve shortening},
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year = {1995},
volume = {77},
number = {1},
pages = {71--110},
DOI = {10.1215/S0012-7094-95-07704-7},
author = {Angenent, S. B. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR1348539,
title = {The analysis of coating flows in a strip},
journal = {J. Differential Equations},
year = {1995},
volume = {121},
number = {1},
pages = {134--182},
DOI = {10.1006/jdeq.1995.1125},
author = {Friedman, Avner and Vel{\~A}¡zquez, Juan J. L.}
}
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title = {The analysis of coating flows near the contact line},
journal = {J. Differential Equations},
year = {1995},
volume = {119},
number = {1},
pages = {137--208},
DOI = {10.1006/jdeq.1995.1086},
author = {Friedman, Avner and Vel{\~A}¡zquez, Juan J. L.}
}
@Incollection { MR1342338,
title = {A time dependent free boundary problem arising in electrophotography},
year = {1995},
volume = {323},
pages = {215--219},
publisher = {Longman Sci. Tech., Harlow},
series = {Pitman Res. Notes Math. Ser.},
booktitle = {Free boundary problems: theory and applications (Toledo, 1993)},
author = {Vel{\~A}¡zquez, J. J. L.}
}
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title = {Blow-up under oscillatory boundary conditions},
journal = {Asymptotic Anal.},
year = {1994},
volume = {9},
number = {1},
pages = {1--22},
author = {Herrero, M. A. and Lacey, A. A. and Vel{\~A}¡zquez, J. J. L.}
}
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title = {Curvature blow-up in perturbations of minimal cones evolving by mean curvature flow},
journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)},
year = {1994},
volume = {21},
number = {4},
pages = {595--628},
author = {Vel{\~A}¡zquez, J. J. L.}
}
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title = {Explosion de solutions d'{\~A}©quations paraboliques semilin{\~A}©aires supercritiques},
journal = {C. R. Acad. Sci. Paris S{\~A}©r. I Math.},
year = {1994},
volume = {319},
number = {2},
pages = {141--145},
author = {Herrero, Miguel A. and Vel{\~A}¡zquez, Juan J. L.}
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title = {On the dynamics of a closed thermosyphon},
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year = {1994},
volume = {54},
number = {6},
pages = {1561--1593},
DOI = {10.1137/S0036139993246787},
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}
@Incollection { MR1266206,
title = {Blow up for semilinear parabolic equations},
year = {1994},
volume = {30},
pages = {131--145},
publisher = {Masson, Paris},
series = {RAM Res. Appl. Math.},
booktitle = {Recent advances in partial differential equations (El Escorial, 1992)},
author = {Vel{\~A}¡zquez, Juan J. L.}
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title = {A time-dependent free boundary problem modeling the visual image in electrophotography},
journal = {Arch. Rational Mech. Anal.},
year = {1993},
volume = {123},
number = {3},
pages = {259--303},
DOI = {10.1007/BF00375128},
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}
@Article { MR1220032,
title = {Blow-up behaviour of one-dimensional semilinear parabolic equations},
journal = {Ann. Inst. H. Poincar{\~A}© Anal. Non Lin{\~A}©aire},
year = {1993},
volume = {10},
number = {2},
pages = {131--189},
DOI = {10.1016/S0294-1449(16)30217-7},
author = {Herrero, M. A. and Vel{\~A}¡zquez, J. J. L.}
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title = {Classification of singularities for blowing up solutions in higher dimensions},
journal = {Trans. Amer. Math. Soc.},
year = {1993},
volume = {338},
number = {1},
pages = {441--464},
DOI = {10.2307/2154464},
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title = {Estimates on the (n-1)-dimensional Hausdorff measure of the blow-up set for a semilinear heat equation},
journal = {Indiana Univ. Math. J.},
year = {1993},
volume = {42},
number = {2},
pages = {445--476},
DOI = {10.1512/iumj.1993.42.42021},
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@Article { MR1237125,
title = {Global existence and quenching for a model of adiabatic shear band formation},
journal = {Nonlinear Anal.},
year = {1993},
volume = {21},
number = {5},
pages = {337--348},
DOI = {10.1016/0362-546X(93)90077-6},
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}
@Article { MR1251859,
title = {Local behaviour near blow-up points for semilinear parabolic equations},
journal = {J. Differential Equations},
year = {1993},
volume = {106},
number = {2},
pages = {384--415},
DOI = {10.1006/jdeq.1993.1113},
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@Article { MR1207352,
title = {On a general approach to extinction and blow-up for quasi-linear heat equations},
journal = {Zh. Vychisl. Mat. i Mat. Fiz.},
year = {1993},
volume = {33},
number = {2},
pages = {246--258},
author = {Vel{\~A}¡zquez, J. J. L. and Galaktionov, V. A. and Posashkov, S. A. and Herrero, M. A.}
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@Article { MR1231197,
title = {Plane structures in thermal runaway},
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year = {1993},
volume = {81},
number = {3},
pages = {321--341},
DOI = {10.1007/BF02764836},
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}
@Incollection { MR1216363,
title = {Asymptotics near an extinction point for some semilinear heat equations},
year = {1993},
volume = {280},
pages = {188--194},
publisher = {Longman Sci. Tech., Harlow},
series = {Pitman Res. Notes Math. Ser.},
booktitle = {Emerging applications in free boundary problems (Montreal, PQ, 1990)},
author = {Herrero, M. A. and Vel{\~A}¡zquez, J. J. L.}
}
@Incollection { MR1246342,
title = {Some results on blow up for semilinear parabolic problems},
year = {1993},
volume = {47},
pages = {105--125},
publisher = {Springer, New York},
series = {IMA Vol. Math. Appl.},
booktitle = {Degenerate diffusions (Minneapolis, MN, 1991)},
DOI = {10.1007/978-1-4612-0885-3_7},
author = {Herrero, M. A. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR1179472,
title = {A free-boundary problem modeling loop dislocations in crystals},
journal = {Arch. Rational Mech. Anal.},
year = {1992},
volume = {119},
number = {3},
pages = {229--291},
DOI = {10.1007/BF00381671},
author = {Friedman, Avner and Hu, Bei and Vel{\~A}¡zquez, Juan J. L.}
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@Article { MR1188559,
title = {Approaching an extinction point in one-dimensional semilinear heat equations with strong absorption},
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year = {1992},
volume = {170},
number = {2},
pages = {353--381},
DOI = {10.1016/0022-247X(92)90024-8},
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}
@Article { MR1151261,
title = {Blow-up profiles in one-dimensional, semilinear parabolic problems},
journal = {Comm. Partial Differential Equations},
year = {1992},
volume = {17},
number = {1-2},
pages = {205--219},
DOI = {10.1080/03605309208820839},
author = {Herrero, M. A. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR1150833,
title = {Comportement g{\~A}©n{\~A}©rique au voisinage d'un point d'explosion pour des solutions d'{\~A}©quations paraboliques unidimensionnelles},
journal = {C. R. Acad. Sci. Paris S{\~A}©r. I Math.},
year = {1992},
volume = {314},
number = {3},
pages = {201--203},
author = {Herrero, Miguel A. and Vel{\~A}¡zquez, Juan J. L.}
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@Article { MR1171974,
title = {Flat blow-up in one-dimensional semilinear heat equations},
journal = {Differential Integral Equations},
year = {1992},
volume = {5},
number = {5},
pages = {973--997},
author = {Herrero, M. A. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR1205406,
title = {Generic behaviour of one-dimensional blow up patterns},
journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)},
year = {1992},
volume = {19},
number = {3},
pages = {381--450},
author = {Herrero, M. A. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR1187622,
title = {Higher-dimensional blow up for semilinear parabolic equations},
journal = {Comm. Partial Differential Equations},
year = {1992},
volume = {17},
number = {9-10},
pages = {1567--1596},
DOI = {10.1080/03605309208820896},
author = {Vel{\~A}¡zquez, J. J. L.}
}
@Incollection { MR1260982,
title = {Asymptotic behaviour near extinction points for a semilinear equation with strong absorption},
year = {1992},
volume = {380},
pages = {391--395},
publisher = {Kluwer Acad. Publ., Dordrecht},
series = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.},
booktitle = {Shape optimization and free boundaries (Montreal, PQ, 1990)},
author = {Vel{\~A}¡zquez, Juan J. L.}
}
@Incollection { MR1167841,
title = {The structure of solutions near an extinction point in a semilinear heat equation with strong absorption: a formal approach},
year = {1992},
volume = {7},
pages = {215--236},
publisher = {Birkh{\~A}¤user Boston, Boston, MA},
series = {Progr. Nonlinear Differential Equations Appl.},
booktitle = {Nonlinear diffusion equations and their equilibrium states, 3 (Gregynog, 1989)},
DOI = {10.1007/978-1-4612-0393-3_16},
author = {Galaktionov, V. A. and Herrero, M. A. and Vel{\~A}¡zquez, J. J. L.}
}
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title = {Radial solutions of a semilinear elliptic problem},
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year = {1991},
volume = {118},
number = {3-4},
pages = {305--326},
DOI = {10.1017/S0308210500029115},
author = {Herrero, M. A. and Vel{\~A}¡zquez, J. J. L.}
}
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title = {The space structure near a blow-up point for semilinear heat equations: a formal approach},
journal = {Zh. Vychisl. Mat. i Mat. Fiz.},
year = {1991},
volume = {31},
number = {3},
pages = {399--411},
author = {Vel{\~A}¡zquez, J. J. L. and Galaktionov, V. A. and Herrero, M. A.}
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DOI = {10.1007/BF01444558},
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title = {Stability analysis of a closed thermosyphon},
journal = {European J. Appl. Math.},
year = {1990},
volume = {1},
number = {1},
pages = {1--23},
DOI = {10.1017/S0956792500000036},
author = {Herrero, M. A. and Vel{\~A}¡zquez, J. J. L.}
}
@Article { MR1039914,
title = {On the dynamics of a semilinear heat equation with strong absorption},
journal = {Comm. Partial Differential Equations},
year = {1989},
volume = {14},
number = {12},
pages = {1653--1715},
DOI = {10.1080/03605308908820672},
author = {Herrero, M. A. and Vel{\~A}¡zquez, J. J. L.}
}