D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 47 Citations 10,028 181 World Ranking 920 National Ranking 46

Research.com Recognitions

Awards & Achievements

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

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Partial differential equation

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.

His most cited work include:

  • Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary (1197 citations)
  • First order quasilinear equations with boundary conditions (564 citations)
  • Fluid dynamic limits of kinetic equations. I. Formal derivations (325 citations)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

  • Mathematical analysis (49.48%)
  • Mathematical physics (20.10%)
  • Euler equations (20.10%)

What were the highlights of his more recent work (between 2009-2021)?

  • Mathematical analysis (49.48%)
  • Mathematical physics (20.10%)
  • Euler equations (20.10%)

In recent papers he was focusing on the following fields of study:

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.

Between 2009 and 2021, his most popular works were:

  • Mathematics and turbulence: where do we stand? (79 citations)
  • Loss of smoothness and energy conserving rough weak solutions for the 3d Euler equations (71 citations)
  • Onsager’s Conjecture for the Incompressible Euler Equations in Bounded Domains (49 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Partial differential 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

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)

1700 Citations

First order quasilinear equations with boundary conditions

C. Bardos;A. Y. Leroux;J. C. Nedelec.
Communications in Partial Differential Equations (1979)

849 Citations

Fluid dynamic limits of kinetic equations. I. Formal derivations

Claude Bardos;François Golse;David Levermore.
Journal of Statistical Physics (1991)

606 Citations

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)

469 Citations

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)

368 Citations

DIFFUSION APPROXIMATION AND COMPUTATION OF THE CRITICAL SIZE

C. Bardos;R. Santos;R. Sentis.
Transactions of the American Mathematical Society (1984)

337 Citations

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)

322 Citations

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)

230 Citations

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

C Bardos.
Journal of Mathematical Analysis and Applications (1972)

227 Citations

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)

226 Citations

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