World's Best Scientists 2026 revealed!
Juan J. L. Velázquez

Juan J. L. Velázquez

D-Index & Metrics

Mathematics

D-Index
36
Citations
5968
World Ranking
2628
National Ranking
163

Juan J. L. Velázquez publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Juan J. L. Velázquez sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 202 publications — 63rd percentile

63% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Juan J. L. Velázquez D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Juan J. L. Velázquez sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 36 D-Index — 29th percentile

29% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Juan J. L. Velázquez is affiliated with the University of Bonn in Germany. Their research primarily spans the field of Mathematics, with a focus on Applied Mathematics, Mathematical Physics, Computational Mechanics, Statistical and Nonlinear Physics, and Computational Theory and Mathematics.

Velázquez's work covers a range of scientific topics, including:

  • Advanced Mathematical Modeling in Engineering
  • Gas Dynamics and Kinetic Theory
  • Numerical methods in inverse problems
  • Coagulation and Flocculation Studies
  • Advanced Thermodynamics and Statistical Mechanics
  • Stochastic processes and statistical mechanics
  • Theoretical and Computational Physics

The researcher has published extensively, with notable papers listed below that reflect recent contributions to their fields of study:

  • "Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Hyperbolic-dominated case," 2020, Nonlinearity
  • "Temporal oscillations in Becker-Döring equations with atomization," 2020, Nonlinearity
  • "Oscillations in a Becker--Döring Model with Injection and Depletion," 2022, SIAM Journal on Applied Mathematics
  • "Non-equilibrium Stationary Solutions for Multicomponent Coagulation Systems with Injection," 2023, Journal of Statistical Physics
  • "Decoding Real-World Artificial Intelligence Incidents," 2024, Computer

Velázquez frequently collaborates with other researchers, including:

  • Alessia Nota (22 publications)
  • Barbara Niethammer (17 publications)
  • Marina A. Ferreira (12 publications)
  • Eugenia Franco (10 publications)
  • Jani Lukkarinen (9 publications)

The preferred venues for publishing include:

  • arXiv (Cornell University) with 52 publications
  • Journal of Statistical Physics with 5 publications
  • Archive for Rational Mechanics and Analysis with 4 publications
  • Annales de l Institut Henri Poincaré C Analyse Non Linéaire with 4 publications
  • SIAM Journal on Mathematical Analysis with 4 publications

Best Publications

  • A blow-up mechanism for a chemotaxis model

    Miguel A. Herrero;Juan J. L. Velazquez

  • Singularity patterns in a chemotaxis model

    Miguel A. Herrero;Juan J. L. Velázquez

  • Chemotactic collapse for the Keller-Segel model.

    Miguel A. Herrero;Juan J. L. Velázquez

  • Blow-up behaviour of one-dimensional semilinear parabolic equations

    Miguel A. Herrero;J.J. L. Velázquez

  • Finite-time aggregation into a single point in a reaction - diffusion system

    M A Herrero;E Medina;J J L Velázquez

  • Explosion de solutions d'équations paraboliques semilinéaires supercritiques

    Miguel A. Herrero;J.J. L. Velázquez

  • An integro-differential equation arising as a limit of individual cell-based models

    Marek Bodnar;Marek Bodnar;Juan Jose Lopez Velazquez

  • Point Dynamics in a Singular Limit of the Keller--Segel Model 2: Formation of the Concentration Regions

    Unknown

  • Self-similar blow-up for a reaction-diffusion system

    M. A. Herrero;E. Medina;J. J. L. Velázquez

  • Simultaneous finite time blow-up in a two-species model for chemotaxis

    Elio Eduardo Espejo;Angela Stevens;Juan J.L. Velazquez

  • STABILITY OF SOME MECHANISMS OF CHEMOTACTIC AGGREGATION

    J. J. L. Velázquez

  • Liouville theorems and blow up behaviour in semilinear reaction diffusion systems

    D. Andreucci;Miguel A. Herrero;J.J. L. Velázquez

  • Higher dimensional blow up for semilinear parabolic equations

    Unknown

  • Point Dynamics in a Singular Limit of the Keller--Segel Model 1: Motion of the Concentration Regions

    Unknown

  • Flat blow-up in one-dimensional semilinear heat equations

    Miguel A. Herrero;J.J. L. Velázquez

  • Blow–Up Profiles in One–Dimensional. Semilinear Parabolic Problems

    Miguel A. Herrero;J.J. L. Velázquez

  • Classification of singularities for blowing up solutions in higher dimensions

    Unknown

  • Generic behaviour of one-dimensional blow up patterns

    Miguel A. Herrero;J.J. L. Velázquez

  • The Becker–Döring Equations and the Lifshitz–Slyozov Theory of Coarsening

    J. J. L. Velázquez

  • Finite time blow-up and condensation for the bosonic Nordheim equation

    M. l Escobedo;M. l Escobedo;J. J. L. Velázquez

  • A nonlinear Fokker-Planck equation modelling the approach to thermal equilibrium in a homogeneous plasma

    M. Escobedo;Miguel A. Herrero;J.J. L. Velázquez;J.J. L. Velázquez

  • Measure Valued Solutions of the 2D Keller–Segel System

    S. Luckhaus;Yoshie Sugiyama;J. J L Velázquez

  • Approaching an extinction point in one-dimensional semilinear heat equations with strong absorption

    Miguel A. Herrero;J.J. L. Velázquez

  • On the Existence of Exponentially Decreasing Solutions of the Nonlinear Landau Damping Problem

    Hyung Ju Hwang;Juan J. L. Velázquez

Frequent Co-Authors

Miguel A. Herrero
Miguel A. Herrero Complutense University of Madrid
Avner Friedman
Avner Friedman The Ohio State University
Alan D. Rendall
Alan D. Rendall Johannes Gutenberg University of Mainz
Richard D. James
Richard D. James University of Minnesota
Bei Hu
Bei Hu University of Notre Dame
Stéphane Mischler
Stéphane Mischler Paris Dauphine University
Robert L. Pego
Robert L. Pego Carnegie Mellon University
Benoît Perthame
Benoît Perthame Sorbonne University
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Felix Otto
Felix Otto Max Planck Institute for Mathematics in the Sciences

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