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Mathematics

D-Index
53
Citations
11599
World Ranking
897
National Ranking
43

Research.com Recognitions

  • 2011 - SIAM Fellow For contributions to the cross-fertilization between industrial problems and advanced theory of partial differential equations.

Overview

Claude Bardos is affiliated with Université Paris Cité in France and specializes in research within the fields of Mathematics and Engineering. Their work prominently focuses on Applied Mathematics and Computational Mechanics, with additional contributions in Global and Planetary Change, Control and Systems Engineering, and Mathematical Physics.

The main topics Bardos explores are Navier-Stokes equation solutions, Stability and Controllability of Differential Equations, Radiative Heat Transfer Studies, Atmospheric aerosols and clouds, Gas Dynamics and Kinetic Theory, Computational Fluid Dynamics and Aerodynamics, and Geometric Analysis and Curvature Flows.

Frequent collaborators in Bardos's research include Edriss S. Titi, Olivier Pironneau, Toan T. Nguyen, Nicolas Besse, and Daniel W. Boutros.

Bardos has contributed to several publication venues, often appearing in arXiv (Cornell University), SeMA Journal, HAL (Le Centre pour la Communication Scientifique Directe), Kinetic and Related Models, and Apollo (University of Cambridge).

Recent publications include:

  • The inviscid limit for the 2D Navier-Stokes equations in bounded domains, 2022, Kinetic and Related Models
  • Onsager-type conjecture and renormalized solutions for the relativistic Vlasov-Maxwell system, 2020, HAL (Le Centre pour la Communication Scientifique Directe)
  • The radiative transfer model for the greenhouse effect, 2021, SeMA Journal
  • C0,α boundary regularity for the pressure in weak solutions of the 2d Euler equations., 2022, Apollo (University of Cambridge)
  • Derivation of a Generalized Quasi-Geostrophic Approximation for Inviscid Flows in a Channel Domain: The Fast Waves Correction, 2024, Communications in Mathematical Physics

Claude Bardos was recognized as a SIAM Fellow in 2011 for contributions related to the intersection of industrial problems and advanced partial differential equations theory.

Best Publications

  • Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary

    Claude Bardos;Gilles Lebeau;Jeffrey Rauch

  • First order quasilinear equations with boundary conditions

    C. Bardos;A. Y. Leroux;J. C. Nedelec

  • Fluid dynamic limits of kinetic equations. I. Formal derivations

    Claude Bardos;François Golse;David Levermore

  • Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation

    Claude Bardos;François Golse;C. David Levermore

  • Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data

    C. Bardos;P. Degond

  • DIFFUSION APPROXIMATION AND COMPUTATION OF THE CRITICAL SIZE

    C. Bardos;R. Santos;R. Sentis

  • Problèmes aux limites pour les équations aux dérivées partielles du premier ordre à coefficients réels; théorèmes d'approximation; application à l'équation de transport

    Claude Bardos

  • The milne and kramers problems for the boltzmann equation of a hard sphere gas

    Claude Bardos;Russel E. Caflisch;Basil Nicolaenko

  • On the continuous limit for a system of classical spins

    P. L. Sulem;P. L. Sulem;C. Sulem;C. Sulem;C. Bardos

  • Existence et unicité de la solution de l'équation d'Euler en dimension deux

    C Bardos

  • Finite time analyticity for the two- and three-dimensional Kelvin-Helmholtz instability

    C. Sulem;P. L. Sulem;C. Bardos;U. Frisch

  • THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION

    Claude Bardos;Seiji Ukai

  • Weak Copling Limit of the N-Particle Schrödinger Equation

    François Golse;Claude Bardos;Norbert J. Mauser

  • The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation

    C Bardos;C Bardos;F Golse;B Perthame;R Sentis

  • La relation de possion pour l'equation des ondes dans un ouvert non borne application a la theorie de la diffusion

    C. Bardos;J.C Guillot;J. Ralston

  • Sur l'unicité retrograde des equations paraboliques et quelques questions voisines

    C. Bardos;Luc Tartar

  • Derivation of the Schrödinger–Poisson equation from the quantum N-body problem

    Claude Bardos;Laszlo Erdös;François Golse;Norbert Mauser

  • Mean field dynamics of fermions and the time-dependent Hartree-Fock equation

    Claude Bardos;François Golse;Alex D. Gottlieb;Norbert J. Mauser

  • Mathematics and turbulence: where do we stand?

    Claude W. Bardos;Edriss S. Titi

  • Bifurcation Phenomena in Mathematical Physics and Related Topics

    Claude Bardos;Daniel Bessis

  • Mathematical Topics in Fluid Mechanics, Volume 1, Incompressible Models

    C. Bardos

  • The Classical Incompressible Navier-Stokes Limit of the Boltzmann Equation(Mathematical Analysis of Phenomena in Fluid and Plasma Dynamics)

    Claude Bardos;Seiji Ukai

Frequent Co-Authors

Edriss S. Titi
Edriss S. Titi Texas A&M University
François Golse
François Golse École Polytechnique
Jeffrey Rauch
Jeffrey Rauch University of Michigan–Ann Arbor
Catherine Sulem
Catherine Sulem University of Toronto
Olivier Pironneau
Olivier Pironneau Sorbonne University
C. David Levermore
C. David Levermore University of Maryland, College Park
Uriel Frisch
Uriel Frisch Observatoire de la Côte d’Azur
Kazuo Aoki
Kazuo Aoki National Cheng Kung University
Russel E. Caflisch
Russel E. Caflisch Courant Institute of Mathematical Sciences
Benoît Perthame
Benoît Perthame Sorbonne University

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