2011 - SIAM Fellow For contributions to the cross-fertilization between industrial problems and advanced theory of partial differential equations.
Mathematical analysis, Euler equations, Limit, Compressibility and Boltzmann equation are his primary areas of study. His research ties Mathematical physics and Mathematical analysis together. Claude Bardos has researched Euler equations in several fields, including Finite time, Mathematical theory, Mathematical proof, Classical mechanics and Fluid dynamics.
His Limit research integrates issues from Navier stokes, Initial value problem, Knudsen number and Boltzmann constant. His Compressibility research includes themes of Semi-implicit Euler method, Backward Euler method, Perfect fluid, Vortex sheet and Euler method. Claude Bardos combines subjects such as Conservation law, Kinetic theory of gases and Linearization with his study of Boltzmann equation.
The scientist’s investigation covers issues in Mathematical analysis, Mathematical physics, Euler equations, Boltzmann equation and Classical mechanics. His work on Compressibility expands to the thematically related Mathematical analysis. His Mathematical physics research is multidisciplinary, relying on both Nonlinear system, Classical limit and Schrödinger equation.
The Euler equations study combines topics in areas such as Weak solution, Fluid dynamics and Vortex sheet, Vorticity. His work deals with themes such as Kinetic theory of gases, Lattice Boltzmann methods, Knudsen number and Boltzmann constant, which intersect with Boltzmann equation. Within one scientific family, he focuses on topics pertaining to Conjecture under Bounded function, and may sometimes address concerns connected to Entropy.
Claude Bardos spends much of his time researching Mathematical analysis, Mathematical physics, Euler equations, Bounded function and Boundary value problem. His Mathematical analysis research is multidisciplinary, incorporating elements of Heavy traffic approximation, Inviscid flow and Boltzmann equation. His study in Mathematical physics is interdisciplinary in nature, drawing from both Space, Classical limit and Nonlinear system.
His Euler equations research incorporates themes from Navier–Stokes equations, Compressibility, Vorticity, Euler's formula and Weak solution. His studies in Bounded function integrate themes in fields like Domain and Conjecture. The various areas that Claude Bardos examines in his Boundary value problem study include Asymptotic expansion, Heat kernel, Fractal and Heat equation.
His scientific interests lie mostly in Mathematical analysis, Euler equations, Conjecture, Nonlinear system and Limit. Claude Bardos performs integrative Mathematical analysis and Uses of trigonometry research in his work. Claude Bardos interconnects Boundary value problem, Vorticity, Euler's formula, Weak solution and Navier–Stokes equations in the investigation of issues within Euler equations.
His Conjecture research is multidisciplinary, incorporating perspectives in Bounded function and Domain. Claude Bardos has included themes like Cauchy problem, Initial value problem, Applied mathematics and Ordinary differential equation in his Nonlinear system study. His studies examine the connections between Limit and genetics, as well as such issues in Shear flow, with regards to Viscosity and Sequence.
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Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary
Claude Bardos;Gilles Lebeau;Jeffrey Rauch.
Siam Journal on Control and Optimization (1992)
First order quasilinear equations with boundary conditions
C. Bardos;A. Y. Leroux;J. C. Nedelec.
Communications in Partial Differential Equations (1979)
Fluid dynamic limits of kinetic equations. I. Formal derivations
Claude Bardos;François Golse;David Levermore.
Journal of Statistical Physics (1991)
Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
Claude Bardos;François Golse;C. David Levermore.
Communications on Pure and Applied Mathematics (1993)
Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data
C. Bardos;P. Degond.
Annales De L Institut Henri Poincare-analyse Non Lineaire (1985)
DIFFUSION APPROXIMATION AND COMPUTATION OF THE CRITICAL SIZE
C. Bardos;R. Santos;R. Sentis.
Transactions of the American Mathematical Society (1984)
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.
Annales Scientifiques De L Ecole Normale Superieure (1970)
The milne and kramers problems for the boltzmann equation of a hard sphere gas
Claude Bardos;Russel E. Caflisch;Basil Nicolaenko.
Communications on Pure and Applied Mathematics (1986)
Existence et unicité de la solution de l'équation d'Euler en dimension deux
C Bardos.
Journal of Mathematical Analysis and Applications (1972)
On the continuous limit for a system of classical spins
P. L. Sulem;P. L. Sulem;C. Sulem;C. Sulem;C. Bardos.
Communications in Mathematical Physics (1986)
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