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Velázquez, Juan J. L.

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Author ID: velazquez.juan-j-l Recent zbMATH articles by "Velázquez, Juan J. L."
Published as: Velázquez, J. J. L.; Velázquez, Juan J. L.; Velazquez, J. J. L.; Velazquez, Juan J. L.; Vlázquez, Juan J. L.; Vélazquez, J. J. L.; Velazquez, J. J. L; Velázquez, Juan J.
Homepage: http://www.hcm.uni-bonn.de/people/profile/juan-j-velazquez/
External Links: MGP · arXiv · Math-Net.Ru · dblp · GND
all top 5

Co-Authors

22 single-authored
37 Herrero, Miguel Ángel
32 Niethammer, Barbara
12 Escobedo Martínez, Miguel
12 Friedman, Avner
11 Nota, Alessia
10 Hwang, Hyung Ju
8 Stevens, Angela
6 Hu, Bei
5 Cuesta Romero, Carlota Maria
5 Fontelos López, Marco Antonio
5 Herrmann, Michael
4 Bonacini, Marco
4 Kang, Kyungkeun
4 Rendall, Alan D.
4 Sugiyama, Yoshie
3 Andreucci, Daniele
3 James, Richard D.
3 Jang, Juhi
3 Medina, Elena
3 Mischler, Stéphane
3 Pernas-Castaño, Tania
3 Primi, Ivano
3 Throm, Sebastian
3 Winter, Raphael
2 Angenent, Sigurd Bernardus
2 Ferreira, Marina A.
2 Galaktionov, Victor Aleksandrovich
2 Höfer, Richard M.
2 Kierkels, A. H. M.
2 Lacey, Andrew A.
2 Liţcanu, Gabriela
2 Lukkarinen, Jani
2 Oleaga, Gerardo E.
2 Perthame, Benoît
2 Röger, Matthias
1 Aguareles, Maria
1 Alonso-Orán, Diego
1 Biro, Zsolt
1 Bobylev, Alexandre Vasiljévitch
1 Bonilla, Luis Lopez
1 Calle, Maria
1 Carpio, Ana
1 Chapman, Stephen Jonathan
1 Esenturk, Emre
1 Espejo Arenas, Elio Eduardo
1 Espejo, Elio E.
1 Fila, Marek
1 Filippas, Stathis
1 Giunti, Arianna
1 Götz, Ivan G.
1 Helmers, Michael
1 Henseler, Reiner Thorsten
1 Hernando, Pedro J.
1 Herraiz, Luis A.
1 Jang, Jin Woo
1 Jung, Jaewoo
1 Kindelan, Manuel Segura
1 Knüpfer, Hans
1 Laurençot, Philippe
1 Lienstromberg, Christina
1 Logioti, A.
1 Luckhaus, Stephan
1 Macià, Fabricio
1 McLeod, John Bryce
1 Otto, Felix
1 Pego, Robert L.
1 Posashkov, Sergey A.
1 Primicerio, Mario
1 Rindler, Filip
1 Saffirio, Chiara
1 Schwarzacher, Sebastian
1 Seki, Yukihiro
1 Simonella, Sergio
1 Toral, Raúl
1 Ughi, Maura
1 Vela-Pérez, María
1 Winkler, Michael
1 Wrzosek, Dariusz M.
all top 5

Serials

17 Archive for Rational Mechanics and Analysis
14 Journal of Differential Equations
12 Communications in Partial Differential Equations
11 Journal of Statistical Physics
8 Communications in Mathematical Physics
6 Transactions of the American Mathematical Society
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 SIAM Journal on Applied Mathematics
5 Nonlinearity
5 Indiana University Mathematics Journal
5 European Journal of Applied Mathematics
5 SIAM Journal on Mathematical Analysis
4 Quarterly of Applied Mathematics
3 Mathematical Methods in the Applied Sciences
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Physica D
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Nonlinear Science
3 Interfaces and Free Boundaries
3 Kinetic and Related Models
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Biology
2 Mathematische Annalen
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Differential and Integral Equations
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Discrete and Continuous Dynamical Systems
2 Journal of Mathematical Chemistry
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Annales Henri Poincaré
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Reviews in Mathematical Physics
1 Duke Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Computational and Applied Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 Surveys on Mathematics for Industry
1 Computational Mathematics and Mathematical Physics
1 Journal of Dynamics and Differential Equations
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Differential Equations
1 Analysis (München)
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 SIAM Journal on Applied Dynamical Systems
1 Multiscale Modeling & Simulation
1 Oberwolfach Reports
1 Journal of Physics A: Mathematical and Theoretical
1 Networks and Heterogeneous Media
1 Mathematical Modelling of Natural Phenomena
1 Journal of Theoretical Biology
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

155 Publications have been cited 2,095 times in 1,319 Documents Cited by Year
A blow-up mechanism for a chemotaxis model. Zbl 0904.35037
Herrero, Miguel A.; Velázquez, Juan J. L.
337
1997
Singularity patterns in a chemotaxis model. Zbl 0864.35008
Herrero, Miguel A.; Velázquez, Juan J. L.
114
1996
Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009
Herrero, Miguel A.; Velázquez, Juan J. L.
89
1996
Blow-up behaviour of one-dimensional semilinear parabolic equations. Zbl 0813.35007
Herrero, M. A.; Velázquez, J. J. L.
70
1993
Blow up of solutions of supercritical semilinear parabolic equations. (Explosion de solutions d’équations paraboliques semilinéaires supercritiques.) Zbl 0806.35005
Herrero, Miguel A.; Velázquez, Juan J. L.
63
1994
Finite-time aggregation into a single point in a reaction-diffusion system. Zbl 0909.35071
Herrero, M. A.; Medina, E.; Velázquez, J. J. L.
58
1997
Simultaneous finite time blow-up in a two-species model for chemotaxis. Zbl 1186.35098
Espejo Arenas, Elio Eduardo; Stevens, Angela; Velázquez, Juan J. L.
53
2009
An integro-differential equation arising as a limit of individual cell-based models. Zbl 1089.45002
Bodnar, M.; Velazquez, J. J. L.
49
2006
Liouville theorems and blow up behaviour in semilinear reaction diffusion systems. Zbl 0877.35019
Andreucci, D.; Herrero, M. A.; Velázquez, J. J. L.
42
1997
Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity. Zbl 0988.35032
Filippas, Stathis; Herrero, Miguel A.; Velázquez, Juan J. L.
41
2000
Point dynamics in a singular limit of the Keller-Segel model. I: Motion of the concentration regions. Zbl 1058.35021
Velázquez, J. J. L.
41
2004
Higher dimensional blow up for semilinear parabolic equations. Zbl 0813.35009
Velázquez, J. J. L.
39
1992
Classification of singularities for blowing up solutions in higher dimensions. Zbl 0803.35015
Velázquez, J. J. L.
37
1993
Estimates on the \((n-1)\)-dimensional Hausdorff measure of the blow-yp set for a semilinear heat equation. Zbl 0802.35073
Velázquez, J. J. L.
36
1993
Self-similar blow-up for a reaction-diffusion system. Zbl 0934.35066
Herrero, M. A.; Medina, E.; Velázquez, J. J. L.
32
1998
Derivation of macroscopic equations for individual cell-based models: a formal approach. Zbl 1074.60101
Bodnar, M.; Velazquez, J. J. L.
32
2005
Blow-up profiles in one-dimensional, semilinear parabolic problems. Zbl 0772.35027
Herrero, M. A.; Velázquez, J. J. L.
29
1992
Flat blow-up in one-dimensional semilinear heat equations. Zbl 0767.35036
Herrero, M. A.; Velázquez, J. J. L.
29
1992
Degenerate neckpinches in mean curvature flow. Zbl 0866.58055
Angenent, S. B.; Velázquez, J. J. L.
29
1997
Finite time blow-up and condensation for the bosonic Nordheim equation. Zbl 1317.35256
Escobedo, M.; Velázquez, J. J. L.
26
2015
Measure valued solutions of the 2D Keller-Segel system. Zbl 1256.35180
Luckhaus, S.; Sugiyama, Y.; Velázquez, J. J. L.
25
2012
Point dynamics in a singular limit of the Keller-Segel model. II: Formation of the concentration regions. Zbl 1058.35022
Velázquez, J. J. L.
24
2004
Approaching an extinction point in one-dimensional semilinear heat equations with strong absorption. Zbl 0799.35111
Herrero, M. A.; Velázquez, J. J. L.
22
1992
Generic behaviour of one-dimensional blow up patterns. Zbl 0798.35081
Herrero, M. A.; Velázquez, J. J. L.
22
1992
Asymptotic shape of cusp singularities in curve shortening. Zbl 0829.35058
Angenent, S. B.; Velázquez, J. J. L.
22
1995
Self-similar solutions with fat tails for Smoluchowski’s coagulation equation with locally bounded kernels. Zbl 1267.82086
Niethammer, B.; Velázquez, J. J. L.
22
2013
Singular solutions for the Uehling-Uhlenbeck equation. Zbl 1148.35015
Escobedo, M.; Mischler, S.; Velázquez, J. J. L.
19
2008
A note on non-simultaneous blow-up for a drift-diffusion model. Zbl 1240.35230
Espejo, E. E.; Stevens, A.; Velázquez, J. J. L.
18
2010
The Becker-Döring equations and the Lifshitz-Slyozov theory of coarsening. Zbl 0963.82036
Velázquez, J. J. L.
17
1998
Global existence for the Vlasov-Poisson system in bounded domains. Zbl 1218.35235
Hwang, Hyung Ju; Velázquez, Juan J. L.
17
2010
The method of reflections, homogenization and screening for Poisson and Stokes equations in perforated domains. Zbl 1384.35089
Höfer, Richard M.; Velázquez, Juan J. L.
16
2018
On the blow up and condensation of supercritical solutions of the Nordheim equation for bosons. Zbl 1294.35166
Escobedo, M.; Velázquez, J. J. L.
16
2014
Optimal gradient estimates and asymptotic behaviour for the Vlasov-Poisson system with small initial data. Zbl 1228.35252
Hwang, Hyung Ju; Rendall, Alan D.; Velázquez, Juan J. L.
16
2011
On the existence of exponentially decreasing solutions of the nonlinear Landau damping problem. Zbl 1193.35229
Hwang, Hyung Ju; Velazquez, Juan J. L.
16
2009
A nonlinear Fokker-Planck equation modelling the approach to thermal equilibrium in a homogeneous plasma. Zbl 0933.35090
Escobedo, M.; Herrero, M. A.; Velazquez, J. J. L.
15
1998
On the fundamental solution of a linearized Uehling-Uhlenbeck equation. Zbl 1387.35105
Escobedo, M.; Mischler, S.; Vélazquez, J. J. L.
15
2007
On global existence for the Vlasov-Poisson system in a half space. Zbl 1181.35291
Hwang, Hyung Ju; Velázquez, Juan J. L.
15
2009
On the melting of ice balls. Zbl 0876.35137
Herrero, Miguel A.; Velázquez, Juan J. L.
15
1997
Stability of some mechanisms of chemotactic aggregation. Zbl 1013.35004
Velázquez, J. J. L.
14
2002
On the dynamics of a semilinear heat equation with strong absorption. Zbl 0697.35019
Herrero, M. A.; Velázquez, J. J. L.
13
1989
Global existence for reaction-diffusion systems modelling ignition. Zbl 0909.35063
Herrero, Miguel A.; Lacey, Andrew A.; Velázquez, Juan J. L.
12
1998
The Fokker-Planck equation with absorbing boundary conditions. Zbl 1305.35147
Hwang, Hyung Ju; Jang, Juhi; Velázquez, Juan J. L.
12
2014
A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions. Zbl 0994.35124
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L.
12
2001
Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes. Zbl 1448.60136
Giunti, Arianna; Höfer, Richard; Velázquez, Juan J. L.
11
2018
Self-similar solutions with fat tails for Smoluchowski’s coagulation equation with singular kernels. (Solutions auto-similaire avec queues lourdes pour l’équation de coagulation de Smoluchowski avec noyaux singuliers.) Zbl 1357.35073
Niethammer, B.; Throm, S.; Velázquez, J. J. L.
11
2016
An integro-differential equation model for alignment and orientational aggregation. Zbl 1157.47054
Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L.
11
2009
Curvature blow-up in perturbations of minimal cones evolving by mean curvature flow. Zbl 0926.35023
Velázquez, J. J. L.
10
1994
Local behaviour near blow-up points for semilinear parabolic equations. Zbl 0798.35023
Velázquez, J. J. L.
10
1993
Screening in interacting particle systems. Zbl 1113.82049
Niethammer, B.; Velázquez, J. J. L.
10
2006
Qualitative behavior of a Keller-Segel model with non-diffusive memory. Zbl 1193.35013
Kang, Kyungkeun; Stevens, Angela; Velázquez, Juan J. L.
9
2010
Asymptotic description of Dirac mass formation in kinetic equations for quantum particles. Zbl 1072.35160
Escobedo, M.; Mischler, S.; Velazquez, J. J. L.
9
2004
Friction dominated dynamics of interacting particles locally close to a crystallographic lattice. Zbl 1275.35123
Bodnar, M.; Velázquez, J. J. L.
9
2013
Well-posedness of a model of point dynamics for a limit of the Keller-Segel system. Zbl 1063.35068
Velázquez, J. J. L.
8
2004
Exponential tail behavior of self-similar solutions to Smoluchowski’s coagulation equation. Zbl 1307.45011
Niethammer, B.; Velázquez, J. J. L.
8
2014
On the theory of weak turbulence for the nonlinear Schrödinger equation. Zbl 1329.35278
Escobedo, M.; Velázquez, J. J. L.
8
2015
Singularity formation in the one-dimensional supercooled Stefan problem. Zbl 0855.35135
Herrero, Miguel A.; Velázquez, Juan J. L.
8
1996
Some results on blow up for semilinear parabolic problems. Zbl 0828.35056
Herrero, M. A.; Velázquez, J. J. L.
8
1993
Optimal bounds for self-similar solutions to coagulation equations with product kernel. Zbl 1235.45009
Niethammer, B.; Velázquez, J. J. L.
8
2011
On the convergence to the smooth self-similar solution in the LSW model. Zbl 1098.35032
Niethammer, B.; Velázquez, J. J. L.
8
2006
Oscillatory dynamics in Smoluchowski’s coagulation equation with diagonal kernel. Zbl 1407.82039
Laurençot, Philippe; Niethammer, Barbara; Velázquez, Juan J. L.
7
2018
Uniqueness of self-similar solutions to Smoluchowski’s coagulation equations for kernels that are close to constant. Zbl 1302.82136
Niethammer, B.; Velázquez, J. J. L.
7
2014
Sol-gel transition in a coagulation-diffusion model. Zbl 1033.82011
Herrero, M. A.; Velázquez, J. J. L.; Wrzosek, D.
7
2000
Instabilities and oscillations in coagulation equations with kernels of homogeneity one. Zbl 1404.82042
Herrmann, Michael; Niethammer, Barbara; Velázquez, Juan J. L.
7
2017
A uniqueness result for self-similar profiles to Smoluchowski’s coagulation equation revisited. Zbl 1356.82034
Niethammer, B.; Throm, S.; Velázquez, J. J. L.
7
2016
On the transfer of energy towards infinity in the theory of weak turbulence for the nonlinear Schrödinger equation. Zbl 1331.35256
Kierkels, A. H. M.; Velázquez, J. J. L.
7
2015
Self-similar profiles for homoenergetic solutions of the Boltzmann equation: particle velocity distribution and entropy. Zbl 1430.82012
James, Richard D.; Nota, Alessia; Velázquez, Juan J. L.
6
2019
Global stability and bounds for coarsening rates within the mean-field theory for domain coarsening. Zbl 1113.35029
Niethammer, B.; Velázquez, J. J. L.
6
2006
Mass-selection in alignment models with non-deterministic effects. Zbl 1169.82022
Primi, I.; Stevens, A.; Velázquez, J. J. L.
6
2009
The evolution of stress intensity factors and the propagation of cracks in elastic media. Zbl 0970.74058
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L.
6
2000
On the effect of stochastic fluctuations in the dynamics of the Lifshitz-Slyozov-Wagner model. Zbl 0973.82029
Velázquez, J. J. L.
6
2000
A class of dust-like self-similar solutions of the massless Einstein-Vlasov system. Zbl 1216.83066
Rendall, Alan D.; Velázquez, Juan J. L.
6
2011
On the fundamental solution of a linearized homogeneous coagulation equation. Zbl 1193.82061
Escobedo, Miguel; Velázquez, J. J. L.
6
2010
Homogenization in coarsening systems. I: Deterministic case. Zbl 1082.35023
Niethammer, B.; Velázquez, J. J. L.
6
2004
Blow-up rate estimates for the solutions of the bosonic Boltzmann-Nordheim equation. Zbl 1320.35249
Bandyopadhyay, J.; Velázquez, J. J. L.
6
2015
Plane structures in thermal runaway. Zbl 0813.35035
Herrero, M. A.; Velázquez, J. J. L.
6
1993
The two-particle correlation function for systems with long-range interactions. Zbl 1400.82176
Velázquez, Juan J. L.; Winter, Raphael
5
2018
On the theory of Lorentz gases with long range interactions. Zbl 1393.82019
Nota, Alessia; Simonella, Sergio; Velázquez, Juan J. L.
5
2018
Comportement générique au voisinage d’un point d’explosion pour des solutions d’équations paraboliques unidimensionnelles. (Generic blow-up behaviour of solutions of one-dimensional semilinear parabolic problems). Zbl 0765.35009
Herrero, Miguel A.; Velázquez, Juan J. L.
5
1992
Self-similar blow up with a continuous range of values of the aggregated mass for a degenerate Keller-Segel system. Zbl 1221.35087
Sugiyama, Y.; Velázquez, J. J. L.
5
2011
Global well-posedness for an inhomogeneous LSW-model in unbounded domains. Zbl 1206.82071
Niethammer, B.; Velázquez, J. J. L.
5
2004
Approaching a vertex in a shrinking domain under a nonlinear flow. Zbl 1064.35085
Herrero, M. A.; Ughi, M.; Velázquez, J. J. L.
5
2004
The analysis of coating flows near the contact line. Zbl 0851.35106
Friedman, Avner; Velázquez, Juan J. L.
5
1995
Stability analysis of a closed thermosyphon. Zbl 0701.76086
Herrero, M. A.; Velazquez, J. J. L
5
1990
Kramers and non-Kramers phase transitions in many-particle systems with dynamical constraint. Zbl 1255.35209
Herrmann, Michael; Niethammer, Barbara; Velázquez, Juan J. L.
5
2012
Blow up for semilinear parabolic equations. Zbl 0798.35072
Velazquez, Juan J. L.
5
1993
On the dynamics of a closed thermosyphon. Zbl 0823.35151
Velázquez, J. J. L.
5
1994
Partial differential equations and non-diffusive structures. Zbl 1160.35302
Stevens, A.; Velázquez, J. J. L.
5
2008
Self-similar asymptotic behavior for the solutions of a linear coagulation equation. Zbl 1415.35049
Niethammer, Barbara; Nota, Alessia; Throm, Sebastian; Velázquez, Juan J. L.
4
2019
On self-similar solutions to a kinetic equation arising in weak turbulence theory for the nonlinear Schrödinger equation. Zbl 1348.35237
Kierkels, A. H. M.; Velázquez, J. J. L.
4
2016
Global solutions to a chemotaxis system with non-diffusive memory. Zbl 1333.92014
Sugiyama, Y.; Tsutsui, Y.; Velázquez, J. J. L.
4
2014
A note on the dissolution of spherical crystals. Zbl 0979.35147
Herraiz, Luis A.; Herrero, Miguel A.; Velázquez, Juan J. L.
4
2001
Self-similar solutions with fat tails for a coagulation equation with diagonal kernel. Zbl 1219.35031
Niethammer, Barbara; Velázquez, Juan J. L.
4
2011
Asymptotics of self-similar solutions to coagulation equations with product kernel. Zbl 1229.82125
McLeod, J. B.; Niethammer, B.; Velázquez, J. J. L.
4
2011
Homogenization in coarsening systems. II: Stochastic case. Zbl 1068.35171
Niethammer, B.; Velázquez, J. J. L.
4
2004
The analysis of coating flows in a strip. Zbl 0836.76022
Friedman, Avner; Velázquez, Juan J. L.
4
1995
Multiple peak aggregations for the Keller-Segel system. Zbl 1282.35098
Seki, Yukihiro; Sugiyama, Yoshie; Velázquez, Juan J. L.
4
2013
Pattern forming instabilities driven by non-diffusive interactions. Zbl 1270.35300
Primi, Ivano; Stevens, Angela; Velázquez, Juan J. L.
4
2013
On screening induced fluctuations in Ostwald ripening. Zbl 1139.82027
Niethammer, B.; Velázquez, J. J. L.
4
2008
On the growth of a particle coalescing in a Poisson distribution of obstacles. Zbl 1372.82031
Nota, Alessia; Velázquez, Juan J. L.
4
2017
Long-time asymptotics for homoenergetic solutions of the Boltzmann equation: collision-dominated case. Zbl 1453.35133
James, Richard D.; Nota, Alessia; Velázquez, Juan J. L.
3
2019
Large time behavior of exchange-driven growth. Zbl 1462.34035
Esentürk, Emre; Velazquez, Juan
1
2021
Two-speed solutions to non-convex rate-independent systems. Zbl 1460.35016
Rindler, Filip; Schwarzacher, Sebastian; Velázquez, Juan J. L.
1
2021
Stationary non-equilibrium solutions for coagulation systems. Zbl 1465.45009
Ferreira, Marina A.; Lukkarinen, Jani; Nota, Alessia; Velázquez, Juan J. L.
1
2021
Solutions with peaks for a coagulation-fragmentation equation. I: Stability of the tails. Zbl 1441.35044
Bonacini, Marco; Niethammer, Barbara; Velázquez, Juan J. L.
2
2020
A bulk-surface reaction-diffusion system for cell polarization. Zbl 1439.35577
Niethammer, Barbara; Röger, Matthias; Velázquez, Juan J. L.
2
2020
Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Hyperbolic-dominated case. Zbl 1440.35229
James, Richard D.; Nota, Alessia; Velázquez, Juan J. L.
2
2020
Analysis of a thin film approximation for two-fluid Taylor-Couette flows. Zbl 1433.76018
Pernas-Castaño, Tania; Velázquez, Juan J. L.
2
2020
Temporal oscillations in Becker-Döring equations with atomization. Zbl 1444.34065
Pego, Robert L.; Velázquez, Juan J. L.
1
2020
Self-similar asymptotics for a modified Maxwell-Boltzmann equation in systems subject to deformations. Zbl 1454.82032
Bobylev, Alexander; Nota, Alessia; Velázquez, Juan J. L.
1
2020
Self-similar profiles for homoenergetic solutions of the Boltzmann equation: particle velocity distribution and entropy. Zbl 1430.82012
James, Richard D.; Nota, Alessia; Velázquez, Juan J. L.
6
2019
Self-similar asymptotic behavior for the solutions of a linear coagulation equation. Zbl 1415.35049
Niethammer, Barbara; Nota, Alessia; Throm, Sebastian; Velázquez, Juan J. L.
4
2019
Long-time asymptotics for homoenergetic solutions of the Boltzmann equation: collision-dominated case. Zbl 1453.35133
James, Richard D.; Nota, Alessia; Velázquez, Juan J. L.
3
2019
Nonuniqueness for the kinetic Fokker-Planck equation with inelastic boundary conditions. Zbl 1408.35190
Hwang, Hyung Ju; Jang, Juhi; Velázquez, Juan J. L.
2
2019
Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity one. Zbl 1441.45010
Bonacini, Marco; Niethammer, Barbara; Velázquez, Juan J. L.
2
2019
On the structure of the singular set for the kinetic Fokker-Planck equations in domains with boundaries. Zbl 1404.35446
Hwang, Hyung Ju; Jang, Juhi; Velázquez, Juan J. L.
2
2019
The method of reflections, homogenization and screening for Poisson and Stokes equations in perforated domains. Zbl 1384.35089
Höfer, Richard M.; Velázquez, Juan J. L.
16
2018
Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes. Zbl 1448.60136
Giunti, Arianna; Höfer, Richard; Velázquez, Juan J. L.
11
2018
Oscillatory dynamics in Smoluchowski’s coagulation equation with diagonal kernel. Zbl 1407.82039
Laurençot, Philippe; Niethammer, Barbara; Velázquez, Juan J. L.
7
2018
The two-particle correlation function for systems with long-range interactions. Zbl 1400.82176
Velázquez, Juan J. L.; Winter, Raphael
5
2018
On the theory of Lorentz gases with long range interactions. Zbl 1393.82019
Nota, Alessia; Simonella, Sergio; Velázquez, Juan J. L.
5
2018
From a non-Markovian system to the Landau equation. Zbl 1433.60067
Velázquez, Juan J. L.; Winter, Raphael
1
2018
Instabilities and oscillations in coagulation equations with kernels of homogeneity one. Zbl 1404.82042
Herrmann, Michael; Niethammer, Barbara; Velázquez, Juan J. L.
7
2017
On the growth of a particle coalescing in a Poisson distribution of obstacles. Zbl 1372.82031
Nota, Alessia; Velázquez, Juan J. L.
4
2017
Veiled singularities for the spherically symmetric massless Einstein-Vlasov system. Zbl 1381.83049
Rendall, Alan D.; Velázquez, Juan J. L.
2
2017
Self-similar solutions with fat tails for Smoluchowski’s coagulation equation with singular kernels. (Solutions auto-similaire avec queues lourdes pour l’équation de coagulation de Smoluchowski avec noyaux singuliers.) Zbl 1357.35073
Niethammer, B.; Throm, S.; Velázquez, J. J. L.
11
2016
A uniqueness result for self-similar profiles to Smoluchowski’s coagulation equation revisited. Zbl 1356.82034
Niethammer, B.; Throm, S.; Velázquez, J. J. L.
7
2016
On self-similar solutions to a kinetic equation arising in weak turbulence theory for the nonlinear Schrödinger equation. Zbl 1348.35237
Kierkels, A. H. M.; Velázquez, J. J. L.
4
2016
Mathematical analysis of a coarsening model with local interactions. Zbl 1379.70046
Helmers, Michael; Niethammer, Barbara; Velázquez, Juan J. L.
1
2016
Finite time blow-up and condensation for the bosonic Nordheim equation. Zbl 1317.35256
Escobedo, M.; Velázquez, J. J. L.
26
2015
On the theory of weak turbulence for the nonlinear Schrödinger equation. Zbl 1329.35278
Escobedo, M.; Velázquez, J. J. L.
8
2015
On the transfer of energy towards infinity in the theory of weak turbulence for the nonlinear Schrödinger equation. Zbl 1331.35256
Kierkels, A. H. M.; Velázquez, J. J. L.
7
2015
Blow-up rate estimates for the solutions of the bosonic Boltzmann-Nordheim equation. Zbl 1320.35249
Bandyopadhyay, J.; Velázquez, J. J. L.
6
2015
On the blow up and condensation of supercritical solutions of the Nordheim equation for bosons. Zbl 1294.35166
Escobedo, M.; Velázquez, J. J. L.
16
2014
The Fokker-Planck equation with absorbing boundary conditions. Zbl 1305.35147
Hwang, Hyung Ju; Jang, Juhi; Velázquez, Juan J. L.
12
2014
Exponential tail behavior of self-similar solutions to Smoluchowski’s coagulation equation. Zbl 1307.45011
Niethammer, B.; Velázquez, J. J. L.
8
2014
Uniqueness of self-similar solutions to Smoluchowski’s coagulation equations for kernels that are close to constant. Zbl 1302.82136
Niethammer, B.; Velázquez, J. J. L.
7
2014
Global solutions to a chemotaxis system with non-diffusive memory. Zbl 1333.92014
Sugiyama, Y.; Tsutsui, Y.; Velázquez, J. J. L.
4
2014
Dynamical properties of models for the Calvin cycle. Zbl 1345.92069
Rendall, Alan D.; Velázquez, Juan J. L.
2
2014
Rate-independent dynamics and Kramers-type phase transitions in nonlocal Fokker-Planck equations with dynamical control. Zbl 1304.35696
Herrmann, Michael; Niethammer, Barbara; Velázquez, Juan J. L.
2
2014
Self-similar solutions with fat tails for Smoluchowski’s coagulation equation with locally bounded kernels. Zbl 1267.82086
Niethammer, B.; Velázquez, J. J. L.
22
2013
Friction dominated dynamics of interacting particles locally close to a crystallographic lattice. Zbl 1275.35123
Bodnar, M.; Velázquez, J. J. L.
9
2013
Multiple peak aggregations for the Keller-Segel system. Zbl 1282.35098
Seki, Yukihiro; Sugiyama, Yoshie; Velázquez, Juan J. L.
4
2013
Pattern forming instabilities driven by non-diffusive interactions. Zbl 1270.35300
Primi, Ivano; Stevens, Angela; Velázquez, Juan J. L.
4
2013
Ant foraging and geodesic paths in labyrinths: analytical and computational results. Zbl 1406.92728
Vela-Pérez, M.; Fontelos, Marco A.; Velázquez, J. J. L.
3
2013
Bistable stochastic biochemical networks: highly specific systems with few chemicals. Zbl 1320.92043
Hwang, Hyung Ju; Velázquez, Juan J. L.
2
2013
On global existence of classical solutions for the Vlasov-Poisson system in convex bounded domains. Zbl 1271.82026
Hwang, Hyung Ju; Jung, Jaewoo; Velázquez, Juan J. L.
1
2013
Fluid accumulation in thin-film flows driven by surface tension and gravity. Zbl 1262.76012
Cuesta, C. M.; Velázquez, J. J. L.
1
2013
Local well posedness for a linear coagulation equation. Zbl 1316.45010
Escobedo, M.; Velázquez, J. J. L.
1
2013
A 2D-model of cell sorting induced by propagation of chemical signals along spiral waves. Zbl 1479.35520
Kang, K.; Primi, I.; Velázquez, J. J. L.
1
2013
Bistable stochastic biochemical networks: large chemical networks and systems with many molecules. Zbl 1320.92040
Hwang, Hyung Ju; Velázquez, Juan J. L.
1
2013
Measure valued solutions of the 2D Keller-Segel system. Zbl 1256.35180
Luckhaus, S.; Sugiyama, Y.; Velázquez, J. J. L.
25
2012
Kramers and non-Kramers phase transitions in many-particle systems with dynamical constraint. Zbl 1255.35209
Herrmann, Michael; Niethammer, Barbara; Velázquez, Juan J. L.
5
2012
Analysis of oscillations in a drainage equation. Zbl 1261.37034
Cuesta, C. M.; Velázquez, J. J. L.
2
2012
Classical non-mass-preserving solutions of coagulation equations. Zbl 1251.35082
Escobedo, M.; Velázquez, J. J. L.
1
2012
The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems. Zbl 1247.35178
Aguareles, Maria; Fontelos, Marco A.; Velázquez, Juan J.
1
2012
Optimal gradient estimates and asymptotic behaviour for the Vlasov-Poisson system with small initial data. Zbl 1228.35252
Hwang, Hyung Ju; Rendall, Alan D.; Velázquez, Juan J. L.
16
2011
Optimal bounds for self-similar solutions to coagulation equations with product kernel. Zbl 1235.45009
Niethammer, B.; Velázquez, J. J. L.
8
2011
A class of dust-like self-similar solutions of the massless Einstein-Vlasov system. Zbl 1216.83066
Rendall, Alan D.; Velázquez, Juan J. L.
6
2011
Self-similar blow up with a continuous range of values of the aggregated mass for a degenerate Keller-Segel system. Zbl 1221.35087
Sugiyama, Y.; Velázquez, J. J. L.
5
2011
Self-similar solutions with fat tails for a coagulation equation with diagonal kernel. Zbl 1219.35031
Niethammer, Barbara; Velázquez, Juan J. L.
4
2011
Asymptotics of self-similar solutions to coagulation equations with product kernel. Zbl 1229.82125
McLeod, J. B.; Niethammer, B.; Velázquez, J. J. L.
4
2011
A note on non-simultaneous blow-up for a drift-diffusion model. Zbl 1240.35230
Espejo, E. E.; Stevens, A.; Velázquez, J. J. L.
18
2010
Global existence for the Vlasov-Poisson system in bounded domains. Zbl 1218.35235
Hwang, Hyung Ju; Velázquez, Juan J. L.
17
2010
Qualitative behavior of a Keller-Segel model with non-diffusive memory. Zbl 1193.35013
Kang, Kyungkeun; Stevens, Angela; Velázquez, Juan J. L.
9
2010
On the fundamental solution of a linearized homogeneous coagulation equation. Zbl 1193.82061
Escobedo, Miguel; Velázquez, J. J. L.
6
2010
Simultaneous finite time blow-up in a two-species model for chemotaxis. Zbl 1186.35098
Espejo Arenas, Elio Eduardo; Stevens, Angela; Velázquez, Juan J. L.
53
2009
On the existence of exponentially decreasing solutions of the nonlinear Landau damping problem. Zbl 1193.35229
Hwang, Hyung Ju; Velazquez, Juan J. L.
16
2009
On global existence for the Vlasov-Poisson system in a half space. Zbl 1181.35291
Hwang, Hyung Ju; Velázquez, Juan J. L.
15
2009
An integro-differential equation model for alignment and orientational aggregation. Zbl 1157.47054
Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L.
11
2009
Mass-selection in alignment models with non-deterministic effects. Zbl 1169.82022
Primi, I.; Stevens, A.; Velázquez, J. J. L.
6
2009
Self-similar solutions for the LSW model with encounters. Zbl 1182.45004
Herrmann, M.; Niethammer, B.; Velázquez, J. J. L.
3
2009
Singular solutions for the Uehling-Uhlenbeck equation. Zbl 1148.35015
Escobedo, M.; Mischler, S.; Velázquez, J. J. L.
19
2008
Partial differential equations and non-diffusive structures. Zbl 1160.35302
Stevens, A.; Velázquez, J. J. L.
5
2008
On screening induced fluctuations in Ostwald ripening. Zbl 1139.82027
Niethammer, B.; Velázquez, J. J. L.
4
2008
A kinetic model for grain growth. Zbl 1155.35314
Henseler, Reiner; Herrmann, Michael; Niethammer, Barbara; Velázquez, Juan J. L.
3
2008
A derivation of a new set of equations at the onset of the Bose-Einstein condensation. Zbl 1149.82019
Escobedo, Miguel; Velázquez, J. J. L.
2
2008
On the fundamental solution of a linearized Uehling-Uhlenbeck equation. Zbl 1387.35105
Escobedo, M.; Mischler, S.; Vélazquez, J. J. L.
15
2007
An integro-differential equation arising as a limit of individual cell-based models. Zbl 1089.45002
Bodnar, M.; Velazquez, J. J. L.
49
2006
Screening in interacting particle systems. Zbl 1113.82049
Niethammer, B.; Velázquez, J. J. L.
10
2006
On the convergence to the smooth self-similar solution in the LSW model. Zbl 1098.35032
Niethammer, B.; Velázquez, J. J. L.
8
2006
Global stability and bounds for coarsening rates within the mean-field theory for domain coarsening. Zbl 1113.35029
Niethammer, B.; Velázquez, J. J. L.
6
2006
On the effect of correlations, fluctuations and collisions in Ostwald ripening. Zbl 1366.82040
Niethammer, Barbara; Otto, Felix; Velázquez, Juan J. L.
3
2006
Singular solutions of partial differential equations modelling chemotactic aggregation. Zbl 1125.35049
Velázquez, Juan J. L.
2
2006
Derivation of macroscopic equations for individual cell-based models: a formal approach. Zbl 1074.60101
Bodnar, M.; Velazquez, J. J. L.
32
2005
Grow-up on the boundary for a semilinear parabolic problem. Zbl 1090.35034
Fila, Marek; Velázquez, Juan J. L.; Winkler, Michael
3
2005
Point dynamics in a singular limit of the Keller-Segel model. I: Motion of the concentration regions. Zbl 1058.35021
Velázquez, J. J. L.
41
2004
Point dynamics in a singular limit of the Keller-Segel model. II: Formation of the concentration regions. Zbl 1058.35022
Velázquez, J. J. L.
24
2004
Asymptotic description of Dirac mass formation in kinetic equations for quantum particles. Zbl 1072.35160
Escobedo, M.; Mischler, S.; Velazquez, J. J. L.
9
2004
Well-posedness of a model of point dynamics for a limit of the Keller-Segel system. Zbl 1063.35068
Velázquez, J. J. L.
8
2004
Homogenization in coarsening systems. I: Deterministic case. Zbl 1082.35023
Niethammer, B.; Velázquez, J. J. L.
6
2004
Global well-posedness for an inhomogeneous LSW-model in unbounded domains. Zbl 1206.82071
Niethammer, B.; Velázquez, J. J. L.
5
2004
Approaching a vertex in a shrinking domain under a nonlinear flow. Zbl 1064.35085
Herrero, M. A.; Ughi, M.; Velázquez, J. J. L.
5
2004
Homogenization in coarsening systems. II: Stochastic case. Zbl 1068.35171
Niethammer, B.; Velázquez, J. J. L.
4
2004
On the growth of filamentary structures in planar media. Zbl 1058.35101
Andreucci, D.; Herrero, M. A.; Velázquez, J. J. L.
3
2004
Planar cracks running along piecewise linear paths. Zbl 1041.74062
Herrero, M. A.; Oleaga, G. E.; Velázquez, J. J. L.
1
2004
Stability of some mechanisms of chemotactic aggregation. Zbl 1013.35004
Velázquez, J. J. L.
14
2002
Asymptotic behaviour \((t\to +0)\) of the interface for the critical case of undercooled Stefan problem. Zbl 1170.80323
Primicerio, Mario; Götz, Ivan G.; Velázquez, Juan J. L.
1
2002
A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions. Zbl 0994.35124
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L.
12
2001
A note on the dissolution of spherical crystals. Zbl 0979.35147
Herraiz, Luis A.; Herrero, Miguel A.; Velázquez, Juan J. L.
4
2001
The classical one-phase Stefan problem: a catalog of interface behaviors. Zbl 1048.76058
Andreucci, Daniele; Herrero, Miguel A.; Velázquez, Juan J. L.
3
2001
...and 55 more Documents
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Cited by 1,287 Authors

81 Velázquez, Juan J. L.
79 Winkler, Michael
31 Niethammer, Barbara
29 Zaag, Hatem
27 Tao, Youshan
26 Mu, Chunlai
25 Carrillo de la Plata, José Antonio
24 Mizoguchi, Noriko
21 Herrero, Miguel Ángel
17 Hwang, Hyung Ju
17 Laurençot, Philippe
15 Souplet, Philippe
14 Galaktionov, Victor Aleksandrovich
13 Escobedo Martínez, Miguel
12 Bertozzi, Andrea Louise
12 Merle, Frank
12 Ren, Guoqiang
12 Zheng, Jiashan
11 Lankeit, Johannes
11 Zheng, Pan
11 Zheng, Sining
10 Bedrossian, Jacob
10 Fujishima, Yohei
10 Ishige, Kazuhiro
10 Lin, Ke
10 Nguyen, Van Tien
10 Nota, Alessia
10 Sugiyama, Yoshie
10 Wang, Liangchen
10 Wang, Yifu
9 Del Pino, Manuel A.
9 Laurent, Thomas
9 Li, Dan
9 Li, Xie
9 Shen, Wenxian
9 Suzuki, Takashi
9 Wang, Wei
8 Cieślak, Tomasz
8 Fetecau, Razvan C.
8 Harada, Junichi
8 Jin, Hai-Yang
8 Kang, Kyungkeun
8 Lu, Xuguang
8 Masmoudi, Nader
8 Nagai, Toshitaka
8 Perthame, Benoît
8 Raphael, Pierre
8 Senba, Takasi
8 Skubachevskiĭ, Aleksandr Leonidovich
8 Tran, Minh-Binh
8 Yokota, Tomomi
7 Collot, Charles
7 Conlon, Joseph G.
7 Fontelos López, Marco Antonio
7 Friedman, Avner
7 Fujie, Kentarou
7 Ghoul, Tej-Eddine
7 Höfer, Richard M.
7 Li, Yuxiang
7 Rossi, Julio Daniel
7 Throm, Sebastian
7 Wang, Yilong
7 Wang, Zhian
7 Xiang, Zhaoyin
6 Biler, Piotr
6 Calvez, Vincent
6 Cao, Xinru
6 Chertock, Alina E.
6 King, John Robert
6 Kurganov, Alexander
6 Nouri, Anne
6 Stinner, Christian
6 Vazquez, Juan Luis
6 Wei, Juncheng
5 Fuest, Mario
5 Gang, Zhou
5 Giunti, Arianna
5 Hillairet, Matthieu
5 Hillen, Thomas
5 Horstmann, Dirk
5 Ishida, Sachiko
5 Issa, Tahir Bachar
5 Liu, Jianguo
5 Liu, Zhengrong
5 McCue, Scott William
5 Osaki, Koichi
5 Pego, Robert L.
5 Salako, Rachidi Bolaji
5 Seki, Yukihiro
5 Sigal, Israel Michael
5 Stevens, Angela
5 Vauchelet, Nicolas
5 Yao, Yao
4 Andréasson, Håkan
4 Arkeryd, Leif O.
4 Bellomo, Nicola
4 Bian, Shen
4 Budd, Christopher John
4 Cañizo, José Alfredo
4 Ding, Mengyao
...and 1,187 more Authors
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Cited in 214 Serials

120 Journal of Differential Equations
75 Journal of Mathematical Analysis and Applications
62 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
43 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
37 Archive for Rational Mechanics and Analysis
36 Journal of Statistical Physics
32 ZAMP. Zeitschrift für angewandte Mathematik und Physik
31 Discrete and Continuous Dynamical Systems
30 Communications in Mathematical Physics
27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
27 SIAM Journal on Mathematical Analysis
26 Journal of Functional Analysis
26 Discrete and Continuous Dynamical Systems. Series B
25 Physica D
24 Communications in Partial Differential Equations
23 Nonlinear Analysis. Real World Applications
20 Kinetic and Related Models
19 Mathematical Methods in the Applied Sciences
19 Nonlinearity
17 Computers & Mathematics with Applications
17 Calculus of Variations and Partial Differential Equations
16 Transactions of the American Mathematical Society
14 Mathematische Annalen
14 Journal of Nonlinear Science
12 Journal of Mathematical Physics
12 Applied Mathematics and Computation
12 Journal of Computational and Applied Mathematics
11 Acta Applicandae Mathematicae
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 NoDEA. Nonlinear Differential Equations and Applications
10 Journal of Mathematical Biology
10 Applied Mathematics Letters
10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
9 Journal of Evolution Equations
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Bulletin of Mathematical Biology
8 Communications on Pure and Applied Analysis
7 Advances in Mathematics
7 Duke Mathematical Journal
7 Mathematical and Computer Modelling
7 Journal of Scientific Computing
7 Annales Henri Poincaré
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Discrete and Continuous Dynamical Systems. Series S
7 Journal of Theoretical Biology
7 Séminaire Laurent Schwartz. EDP et Applications
6 Communications on Pure and Applied Mathematics
6 Journal of Computational Physics
6 Inventiones Mathematicae
6 Memoirs of the American Mathematical Society
6 Proceedings of the American Mathematical Society
6 European Journal of Applied Mathematics
6 SIAM Journal on Applied Dynamical Systems
6 Multiscale Modeling & Simulation
6 Science China. Mathematics
6 Annals of PDE
5 Applicable Analysis
5 Annali di Matematica Pura ed Applicata. Serie Quarta
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5 Journal of Mathematical Sciences (New York)
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4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Journal für die Reine und Angewandte Mathematik
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4 Journal of the European Mathematical Society (JEMS)
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4 Nonlinear Analysis. Theory, Methods & Applications
3 Mathematical Biosciences
3 Mathematische Nachrichten
3 Advances in Applied Mathematics
3 The Journal of Geometric Analysis
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3 Applied Mathematics. Series B (English Edition)
3 Journal of Mathematical Fluid Mechanics
3 Communications in Nonlinear Science and Numerical Simulation
3 Differential Equations
3 Milan Journal of Mathematics
3 Mathematical Modelling of Natural Phenomena
2 Computers and Fluids
2 Journal d’Analyse Mathématique
2 Journal of Engineering Mathematics
2 Reports on Mathematical Physics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Archiv der Mathematik
2 Publications Mathématiques
2 Journal of the Mathematical Society of Japan
2 Mathematische Zeitschrift
2 Osaka Journal of Mathematics
2 Tohoku Mathematical Journal. Second Series
2 Chinese Annals of Mathematics. Series B
2 Applied Numerical Mathematics
2 Revista Matemática Iberoamericana
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
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1,162 Partial differential equations (35-XX)
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