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Mathematics

D-Index
38
Citations
6858
World Ranking
2320
National Ranking
980

Research.com Recognitions

  • 2016 - Fellow of the American Mathematical Society For contributions to fluid mechanics, transport theory, calculus of variations, and kinetic theory, and for mentoring and professional leadership.

Overview

Alexis F. Vasseur is affiliated with The University of Texas at Austin in the United States. Their research primarily focuses on mathematical and engineering disciplines, with a significant emphasis on applied mathematics and computational mechanics.

Their scholarly output includes 66 publications in mathematics and 33 in engineering, with a specialization in applied mathematics (46 publications), computational mechanics (24 publications), and mathematical physics (18 publications). Additional work touches on control and systems engineering as well as astronomy and astrophysics.

The main topics of Alexis F. Vasseur's research encompass Navier-Stokes equation solutions, advanced mathematical physics problems, and computational fluid dynamics and aerodynamics. They have also contributed to research on stability and controllability of differential equations, fluid dynamics and turbulent flows, gas dynamics and kinetic theory, and cosmology and gravitation theories.

Frequent coauthors of Alexis F. Vasseur include:

  • Moon-Jin Kang
  • Jincheng Yang
  • Sam G. Krupa
  • Yi Wang
  • Cheng Yu

Alexis F. Vasseur's work is published in several venues, with the highest number of publications appearing on arXiv (Cornell University). Other frequent publication venues are:

  • Archive for Rational Mechanics and Analysis
  • Journal of the European Mathematical Society
  • Advances in Mathematics
  • SIAM Journal on Mathematical Analysis

Selected recent papers by Alexis F. Vasseur include:

  • Global existence of entropy-weak solutions to the compressible Navier-Stokes equations with non-linear density dependent viscosities (2021, Journal of the European Mathematical Society)
  • Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system (2020, Journal of the European Mathematical Society)
  • Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier-Stokes systems (2020, Inventiones mathematicae)
  • Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations (2023, Advances in Mathematics)
  • Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics (2021, Advances in Mathematics)

In 2016, Alexis F. Vasseur was named a Fellow of the American Mathematical Society. This recognition cited contributions to fluid mechanics, transport theory, calculus of variations, and kinetic theory, alongside mentoring and professional leadership.

Best Publications

  • Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

    Luis A. Caffarelli;Alexis Vasseur

  • On the Barotropic Compressible Navier–Stokes Equations

    A. Mellet;A. Vasseur

  • Strong Traces for Solutions of Multidimensional Scalar Conservation Laws

    Alexis Vasseur

  • A Parabolic Problem with a Fractional Time Derivative

    Mark Allen;Luis A Caffarelli;Alexis F Vasseur

  • Existence and Uniqueness of Global Strong Solutions for One-Dimensional Compressible Navier–Stokes Equations

    Antoine Mellet;Alexis F. Vasseur

  • Existence of global weak solutions for 3D degenerate compressible Navier–Stokes equations

    Alexis F. Vasseur;Cheng Yu

  • Asymptotic Analysis for a Vlasov-Fokker-Planck/ Compressible Navier-Stokes System of Equations

    A. Mellet;A. Vasseur

  • A new proof of partial regularity of solutions to Navier-Stokes equations

    Alexis F. Vasseur

  • GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS

    A. Mellet;Alexis F Vasseur

  • Regularity theory for parabolic nonlinear integral operators

    Luis A Caffarelli;Chi Hin Chan;Alexis F Vasseur

  • Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime

    Thierry Goudon;Pierre Emmanuel Jabin;Alexis Vasseur

  • Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation

    François Golse;Cyril Imbert;Alexis Vasseur

  • Equilibrium schemes for scalar conservation laws with stiff sources

    Ramaz Botchorishvili;Benott Perthame;Alexis Vasseur

  • Relative Entropy and the Stability of Shocks and Contact Discontinuities for Systems of Conservation Laws with non-BV Perturbations

    Nicholas Leger;Alexis F Vasseur

  • From kinetic equations to multidimensional isentropic gas dynamics before shocks

    Florent Berthelin;Alexis F. Vasseur

  • Global weak solution to the viscous two-fluid model with finite energy

    Alexis Vasseur;Huanyao Wen;Cheng Yu

  • Global Weak Solutions to the Compressible Quantum Navier--Stokes Equations with Damping

    Alexis F. Vasseur;Cheng Yu

  • Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part II: Fine particles regime.

    Unknown

  • Classical and quantum transport in random media

    Frédéric Poupaud;Alexis Vasseur

  • Regularity analysis for systems of reaction-diffusion equations

    Thierry Goudon;Alexis Vasseur

  • Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation

    F Golse;Cyril Imbert;Clément Mouhot;Alexis Vasseur

Frequent Co-Authors

Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Cyril Imbert
Cyril Imbert École Normale Supérieure
Clément Mouhot
Clément Mouhot University of Cambridge
Irene M. Gamba
Irene M. Gamba The University of Texas at Austin
Benoît Perthame
Benoît Perthame Sorbonne University
François Golse
François Golse École Polytechnique
Eduard Feireisl
Eduard Feireisl Czech Academy of Sciences
Stéphane Mischler
Stéphane Mischler Paris Dauphine University

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