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Juan J. L. Velázquez

Juan J. L. Velázquez

D-Index & Metrics

Mathematics

D-Index
36
Citations
5968
World Ranking
2627
National Ranking
163

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

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
Stéphane Mischler
Stéphane Mischler Paris Dauphine University
Robert L. Pego
Robert L. Pego Carnegie Mellon University
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Benoît Perthame
Benoît Perthame Sorbonne University
Felix Otto
Felix Otto Max Planck Institute for Mathematics in the Sciences

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