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Laurent Desvillettes

Laurent Desvillettes

D-Index & Metrics

Mathematics

D-Index
44
Citations
7022
World Ranking
1603
National Ranking
96

Overview

Laurent Desvillettes is affiliated with Université Paris Cité in France and works primarily in the field of Mathematics. Their research encompasses several subfields including Mathematical Physics, Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering, and Modeling and Simulation.

The scientist's work engages with various main topics, notably:

  • Gas Dynamics and Kinetic Theory
  • Advanced Mathematical Physics Problems
  • Spectral Theory in Mathematical Physics
  • Numerical methods in inverse problems
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Stability and Controllability of Differential Equations

Frequent co-authors who have collaborated extensively with Laurent Desvillettes include Ricardo J. Alonso, Véronique Bagland, Bertrand Lods, Kim Dang Phung, and Ling-Bing He.

The scientist's recent publications demonstrate a focus on kinetic equations, reaction-diffusion systems, and related mathematical analyses. Notable papers include:

  • "A new monotonicity formula for the spatially homogeneous Landau equation with Coulomb potential and its applications" (2023), published in Journal of the European Mathematical Society
  • "About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials" (2022), published in Archive for Rational Mechanics and Analysis
  • "A Priori Estimates for Solutions to Landau Equation Under Prodi-Serrin Like Criteria" (2024), published in Archive for Rational Mechanics and Analysis
  • "Exponential decay toward equilibrium via log convexity for a degenerate reaction-diffusion system" (2022), published in Journal of Differential Equations
  • "About Boltzmann's H Theorem for the Landau equation" (2022), published in Séminaire Laurent Schwartz - EDP et applications

Publication venues reflect their specialization and research interests. Frequent venues where Laurent Desvillettes's work appears include:

  • arXiv (Cornell University)
  • Archive for Rational Mechanics and Analysis
  • Journal of the European Mathematical Society
  • Journal of Differential Equations
  • Séminaire Laurent Schwartz - EDP et applications

Best Publications

  • On the trend to global equilibrium for spatially inhomogeneous kinetic systems: The Boltzmann equation

    L. Desvillettes;C. Villani

  • On the trend to global equilibrium in spatially inhomogeneous entropy‐dissipating systems: The linear Fokker‐Planck equation

    Laurent Desvillettes;Cédric Villani

  • Entropy Dissipation and Long-Range Interactions

    R. Alexandre;L. Desvillettes;C. Villani;Bernt Wennberg

  • On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness

    Laurent Desvillettes;Cédric Villani

  • On asymptotics of the Boltzmann equation when the collisions become grazing

    L. Desvillettes

  • On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications

    Laurent Desvillettes;Cédric Villani

  • A kinetic model allowing to obtain the energy law of polytropic gases in the presence of chemical reactions

    L. Desvillettes;Roberto Monaco;F. Salvarani

  • About the regularizing properties of the non-cut-off Kac equation

    Laurent Desvillettes

  • Global existence of solutions for the coupled Vlasov and Navier-Stokes equations

    Laurent Boudin;Laurent Desvillettes;Céline Grandmont;Ayman Moussa

  • Exponential decay toward equilibrium via entropy methods for reaction–diffusion equations

    Laurent Desvillettes;Klemens Fellner

  • COUPLING EULER AND VLASOV EQUATIONS IN THE CONTEXT OF SPRAYS: THE LOCAL-IN-TIME, CLASSICAL SOLUTIONS

    Céline Baranger;Laurent Desvillettes

  • On selection dynamics for continuous structured populations

    Laurent Desvillettes;Pierre Emmanuel Jabin;Stéphane Mischler;Gaël Raoul

  • Some applications of the method of moments for the homogeneous Boltzmann and Kac equations

    L. Desvillettes

  • Smoothness of the Solution of the Spatially Homogeneous Boltzmann Equation without Cutoff

    Laurent Desvillettes;Bernt Wennberg

  • Global existence for quadratic systems of reaction-diffusion

    Laurent Desvillettes;Klemens Fellner;Michel Pierre;Julien Vovelle

  • Averaging lemmas without time Fourier transform and application to discretized kinetic equations

    F. Bouchut;L. Desvillettes

  • Improved Duality Estimates and Applications to Reaction-Diffusion Equations

    José A. Cañizo;Laurent Desvillettes;Klemens Fellner

  • Entropy dissipation estimates for the Landau equation in the Coulomb case and applications

    Laurent Desvillettes

  • Microreversible collisions for polyatomic gases and Boltzmann's theorem

    J.-F. Bourgat;L. Desvillettes;P. Le Tallec;B. Perthame

  • Convergence to equilibrium in large time for Boltzmann and B.G.K. equations

    L. Desvillettes

Frequent Co-Authors

Cédric Villani
Cédric Villani École Normale Supérieure de Rennes
Clément Mouhot
Clément Mouhot University of Cambridge
José A. Carrillo
José A. Carrillo University of Oxford
François Bouchut
François Bouchut Université Gustave Eiffel
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Stéphane Mischler
Stéphane Mischler Paris Dauphine University
Giuseppe Toscani
Giuseppe Toscani University of Pavia
Peter A. Markowich
Peter A. Markowich King Abdullah University of Science and Technology
Henri Berestycki
Henri Berestycki Centre d'Analyse et de Mathématique Sociales

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