C. Bardos

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DIFFUSION APPROXIMATION AND COMPUTATION OF THE CRITICAL SIZE

C. Bardos, R. Santos, R. Sentis, 1984 .

Bifurcation phenomena in mathematical physics and related topics : proceedings of the NATO Advanced Study Institute held at Cargèse, Corsica, France, June 24-July 7, 1979

C. Bardos, D. Bessis, 1980 .

The rosseland approximation for the radiative transfer equations

B. Perthame, F. Golse, C. Bardos, 1987 .

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

B. Perthame, F. Golse, C. Bardos, 1988 .

Fluid dynamic limits of kinetic equations. I. Formal derivations

F. Golse, C. Bardos, D. Levermore, 1991 .

First order quasilinear equations with boundary conditions

J. Nédélec, C. Bardos, A. Leroux, 1979 .

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

C. Bardos, G. Lebeau, J. Rauch, 1992 .

Mathematical foundations of the time reversal mirror

M. Fink, C. Bardos, 2002 .

The Maxwell–Boltzmann approximation for ion kinetic modeling

Toan T. Nguyen, F. Golse, C. Bardos, 2016, Physica D: Nonlinear Phenomena.

Sound field modeling in a street canyon with partially diffusely reflecting boundaries by the transport theory

C. Bardos, M. Bérengier, J. Picaut, 2004 .

Sound-field modeling in architectural acoustics by a transport theory: application to street canyons.

C. Bardos, M. Bérengier, J. Picaut, 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

Control of Shocks in CFD

O. Pironneau, C. Bardos, 2006 .

A formalism for the differentiation of conservation laws

O. Pironneau, C. Bardos, 2002 .

Derivatives and Control in the Presence of Shocks

C. Bardos, 2022 .

Variational algorithms for the Helmholtz equation using time evolution and artificial boundaries

C. Bardos, J. Rauch, 1994 .

Encyclopaedia of Mathematics, Supplement III

Konrad Engel, Willy Govaerts, Francisco Marcellán, 2002 .

On the continuous limit for a system of classical spins

Claude Bardos, Catherine Sulem, C. Bardos, 1986 .

Identification of Green's functions singularities by cross correlation of noisy signals

Josselin Garnier, George Papanicolaou, Claude Bardos, 2008 .

Mathematics and turbulence: where do we stand?

Edriss S. Titi, Claude W. Bardos, E. Titi, 2013, 1301.0273.

Euler equations for incompressible ideal fluids

Edriss S. Titi, Claude Bardos, E. Titi, 2007 .

Mathematics for 2 d Interfaces

C. Bardos, D. Lannes, 2019 .

Onsager-type conjecture and renormalized solutions for the relativistic Vlasov–Maxwell system

Toan T. Nguyen, C. Bardos, N. Besse, 2019, Quarterly of Applied Mathematics.

Feature Kinetic Equations : A French History

C. Bardos, 2018 .

The Cauchy problem for the Vlasov-Dirac-Benney equation and related issues in fluid mechanics and semi-classical limits

C. Bardos, N. Besse, 2013 .

Global regularity for a Birkhoff–Rott-α approximation of the dynamics of vortex sheets of the 2D Euler equations

E. Titi, C. Bardos, Jasmine Linshiz, 2007, 0709.4626.

Global regularity and convergence of a Birkhoff‐Rott‐α approximation of the dynamics of vortex sheets of the two‐dimensional Euler equations

E. Titi, C. Bardos, Jasmine Linshiz, 2010 .

Global regularity and convergence of a Birkhoff-Rott-alpha approximation of the dynamics of vortex sheets of the 2D Euler equations

E. Titi, C. Bardos, Jasmine Linshiz, 2009, 0902.3356.

Global regularity and convergence of a Birkhoff-Rott-alpha approximation of the dynamics of vortex sheets of the 2D Euler equations

E. Titi, C. Bardos, Jasmine Linshiz, 2009, 0902.3356.

One particle equations for many particle quantum systems: The MCTHDF method

C. Bardos, N. Mauser, 2009 .

A Vlasov equation with Dirac potential used in fusion plasmas

C. Bardos, A. Nouri, 2012 .

Asymptotic decay of the solution of a second-order elliptic equation in an unbounded domain. Applications to the spectral properties of a Hamiltonian

C. Bardos, M. Merigot, 1977, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

C boundary regularity for the pressure in weak formulation of the Euler equations

E. Titi, C. Bardos, 2021 .

Bifurcation and Nonlinear Eigenvalue Problems

M. Schatzman, J. Lasry, C. Bardos, 1980 .

Analyticity and instabilities for interfaces: From Kelvin-Helmholtz instability to water waves

C. Bardos, 2008 .

Weak Copling Limit of the N-Particle Schrödinger Equation

François Golse, Norbert J. Mauser, Claude Bardos, 2000 .

Accuracy of the Time-Dependent Hartree–Fock Approximation for Uncorrelated Initial States

F. Golse, C. Bardos, A. Gottlieb, 2003, math-ph/0303070.

Derivation of Hydrodynamic Limits from either the Liouville Equation or Kinetic Models : Study of an Example (Mathematical Analysis in Fluid and Gas Dynamics)

F. Golse, C. Bardos, Y. Sone, 2000 .

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

François Golse, Norbert J. Mauser, Claude Bardos, 2002 .

High frequency asymptotic approach for incomplete spectral and local controllability

C. Bardos, 1993 .

Weak Convergence and Deterministic Approach to Turbulent Diffusion

J. Ghidaglia, C. Bardos, S. Kamvissis, 1999, math/9904119.

Euler equations for incompressible ideal fluids

E. Titi, C. Bardos, 2007, math/0703406.

A second class of linear Boltzmann equations leading to a fractional diffusion equation includes the case of collision integrals whose equilibrium solutions have infinite second order moments: see for instance

F. Golse, C. Bardos, Iván Moyano, 2018 .

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

F. Golse, C. Bardos, A. Gottlieb, 2002, math-ph/0204009.

Observation estimate for kinetic transport equation by diffusion approximation

C. Bardos, K. Phung, 2016, 1605.01954.

On the existence and the regularity of an initial boundary problem of vorticity equation

C. Bardos, K. Yu, 1983 .

Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws

E. Titi, C. Bardos, P. Gwiazda, 2019, Proceedings of the Royal Society A.

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

François Golse, Claude Bardos, C. David Levermore, 1993 .

Recent Advances in PDEs and Applications ( on occasion of Professor

C. Bardos, 2014 .

(on occasion of Professor Hugo Beiro da Veiga's 70th birthday)

V. A. Solonnikov, C. Bardos, A. Sequeira, 2014 .

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

Russel E. Caflisch, Claude Bardos, Basil Nicolaenko, 1986 .

Thermal Layer Solutions of the Boltzmann Equation

R. Caflisch, B. Nicolaenko, C. Bardos, 1985 .

Half-Space Problems for the Boltzmann Equation: A Survey

F. Golse, C. Bardos, Y. Sone, 2006 .

Knudsen Layer for Gas Mixtures

C. Bardos, S. Takata, K. Aoki, 2003 .

Regularity of Euler Equations for a Class of Three-Dimensional Initial Data

B. Nicolaenko, F. Golse, C. Bardos, 2005 .

Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains

B. Nicolaenko, F. Golse, C. Bardos, 2004 .

Longtime dynamics of a conductive fluid in the presence of a strong magnetic field

C. Bardos, C. Sulem, P. Sulem, 1988 .

Onsager’s Conjecture with Physical Boundaries and an Application to the Vanishing Viscosity Limit

Emil Wiedemann, Claude Bardos, Edriss Titi, 2018, Communications in Mathematical Physics.

Onsager’s Conjecture for the Incompressible Euler Equations in Bounded Domains

Edriss S. Titi, Claude Bardos, E. Titi, 2017, 1707.03115.

Laminarization by a Strong Magnetic Field

C. Bardos, C. Sulem, P. Sulem, 1987 .

Finite-time regularity for bounded and unbounded ideal incompressible fluids using holder estimates

U. Frisch, C. Bardos, 1976 .

Different approach for the relation between the kinetic and the macroscopic equations

C. Bardos, 1987 .

Euler equation and burger equation — Relation with turbulence

C. Bardos, 1978 .

Towards a rigorous derivation of the cubic NLSE in dimension one

F. Golse, C. Bardos, R. Adami, 2004 .

Global Solutions of the Boltzmann Equation Over RD\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{R}^D}$$\end

C. D. Levermore, F. Golse, C. Bardos, 2014, Communications in Mathematical Physics.

Global Solutions of the Boltzmann Equation over R D near Global Maxwellians with Small Mass

C. D. Levermore, C. Bardos, F. Golse, 2014 .

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

Pierre Degond, Claude Bardos, C. Bardos, 1985 .

Instability in Models Connected with Fluid Flows II

A. Fursikov, C. Bardos, 2008 .

Maximal positive boundary value problems as limits of singular perturbation problems

C. Bardos, J. Rauch, 1982 .

Stability and spectral convergence of Fourier method for nonlinear problems: on the shortcomings of the $$2/3$$2/3 de-aliasing method

Eitan Tadmor, Claude Bardos, E. Tadmor, 2013, Numerische Mathematik.

Diffusion limit of the Vlasov equation in the weak turbulent regime

Nicolas Besse, Claude Bardos, C. Bardos, 2021, Journal of Mathematics and Physics.

About the derivation of the quasilinear approximation in plasma physics.

C. Bardos, N. Besse, 2020, 2011.08085.

A regularity theorem for parabolic equations

Claude Bardos, C. Bardos, 1971 .

A Mathematical and Deterministic Analysis of the Time-Reversal Mirror

Claude Bardos, C. Bardos, 2003 .

The Euler equations in planar nonsmooth convex domains

R. Temam, C. Bardos, F. Plinio, 2012, 1212.0036.

Short time heat diffusion in compact domains with discontinuous transmission boundary conditions

C. Bardos, D. Grebenkov, A. Rozanova-Pierrat, 2015, 1509.02095.

Chapter 11 - Navier-Stokes Equations and Dynamical Systems

Claude Bardos, B. Nicolaenko, C. Bardos, 2002 .

Claude Bardos and Basile Nicolaenko Navier Stokes Equations { and Dynamical Systems Contents 1. Introduction. 2. Euler and Navier Stokes Equations: Scaling Parameters, Regularity and Stability Results, Theorems and Counterexamples

C. Bardos, 2022 .

Static Hedging of Barrier Options with a Smile: An Inverse Problem

Claude Bardos, Raphael Douady, A. Fursikov, 2002 .

STABLE AND UNSTABLE IDEAL PLANE FLOWS

Yan Guo, C. Bardos, W. Strauss, 2002 .

Setting and Analysis of the Multi-configuration Time-dependent Hartree–Fock Equations

C. Bardos, C. Bardos, N. Mauser, 2009, 0903.3647.

Diffusion approximations for the scattering of resonance-line photons: Interior and boundary layer solutions

C. Bardos, H. Frisch, 1981 .

Regularizing effect of a strong magnetic field

C. Bardos, C. Sulem, P. Sulem, 1988 .

Derivation of a generalized quasi-geostrophic approximation for inviscid flows in a channel domain: The fast waves correction

E. Titi, C. Bardos, Xin Liu, 2023, 2304.08303.

The inviscid limit for the 2D Navier-Stokes equations in bounded domains

Edriss S. Titi, Claude Bardos, Toan T. Nguyen, 2021, Kinetic & Related Models.

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

Claude Bardos, S. Ukai, C. Bardos, 1991 .

Hamiltonian Evolution of Monokinetic Measures with Rough Momentum Profile

T. Paul, P. Markowich, C. Bardos, 2012, 1207.5927.

Some Mathematical Contributions to the Understanding of Turbulence

C. Bardos, 2003 .

Regularity Results for the Equations of Incompressible Fluids Mechanic at the Brink of Turbulence

C. Bardos, 1982 .

The TDHF Approximation for Hamiltonians with $m$-particle Interaction Potentials

F. Golse, C. Bardos, A. Gottlieb, 2007 .

Non-uniqueness for the Euler equations: the effect of the boundary

Emil Wiedemann, Claude Bardos, L'aszl'o Sz'ekelyhidi, 2013, 1305.0773.

Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking

Edriss S. Titi, Claude Bardos, Helena J. Nussenzveig Lopes, 2012, SIAM J. Math. Anal..

Data Assimilation for Conservation Laws

Olivier Pironneau, Claude Bardos, O. Pironneau, 2005 .

Solution of the Stokes Problem as an Inverse Problem

V. Agoshkov, C. Bardos, S. Buleev, 2002 .

Mathematical Topics in Fluid Mechanics, Volume 1, Incompressible Models

Claude Bardos, C. Bardos, 1998 .

Scattering frequencies and Gervey 3 singularities

C. Bardos, G. Lebeau, J. Rauch, 1987 .

Mathematics for 2d Interfaces

C. Bardos, D. Lannes, 2010, 1005.5329.

A P ] 2 8 M ay 2 01 0 Mathematics for 2 d Interfaces

C. Bardos, D. Lannes, 2010 .

Diffusion approximation for a Knudsen gas in a thin domain with accommodation on the boundary

Hans Babovsky, Tadeusz Platkowski, Claude Bardos, 1991 .

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

Uriel Frisch, Claude Bardos, Catherine Sulem, 1981 .

Vanishing viscosity as a selection principle for the Euler equations: The case of 3D shear flow

Emil Wiedemann, Edriss S. Titi, Claude Bardos, 2012, 1208.2352.

Loss of smoothness and energy conserving rough weak solutions for the 3d Euler equations

Edriss S. Titi, Claude Bardos, E. Titi, 2009, 0906.2029.

The Acoustic Limit for the Boltzmann Equation

François Golse, Claude Bardos, C. David Levermore, 2000 .

Acoustic and stokes limits for the Boltzmann equation

F. Golse, C. Bardos, C. Levermore, 1998 .

A NOTE ON THE PROPAGATION OF BOUNDARY INDUCED DISCONTINUITIES IN KINETIC THEORY

François Golse, Claude Bardos, Kazuo Aoki, 2001 .

The Classification of Well-Posed Kinetic Boundary Layer for Hard Sphere Gas Mixtures

C. Bardos, Xiongfeng Yang, 2012 .

H\"older regularity of the pressure for weak solutions of the 3D Euler equations in bounded domains

E. Titi, C. Bardos, Daniel W. Boutros, 2023, 2304.01952.

Onsager’s Conjecture for the Incompressible Euler Equations in Bounded Domains

E. Titi, C. Bardos, 2017, Archive for Rational Mechanics and Analysis.

C0,α boundary regularity for the pressure in weak solutions of the 2d Euler equations

Edriss S. Titi, Claude W. Bardos, E. Titi, 2021, Philosophical Transactions of the Royal Society A.

Zero Viscosity Boundary Effect Limit and Turbulence

C. Bardos, 2018, Computational Methods in Applied Sciences.

On the Extension of Onsager’s Conjecture for General Conservation Laws

Emil Wiedemann, Edriss S. Titi, Piotr Gwiazda, 2018, Journal of Nonlinear Science.

Hölder regularity of the pressure for weak solutions of the 3D Euler equations in bounded domains

E. Titi, C. Bardos, Daniel W. Boutros, 2023 .

Entire Solutions of Hydrodynamical Equations with Exponential Dissipation

C. Bardos, Samriddhi Sankar Ray, W. Pauls, 2008, 0812.0149.

The vanishing viscosity as a selection principle for the Euler equations: The case of 3D shear flow

E. Titi, C. Bardos, E. Wiedemann, 2012 .

Control and Stabilization for the Wave Equation, Part III: Domain with Moving Boundary

Claude Bardos, Goong Chen, C. Bardos, 1981 .

On the Classical Limit of the Schrödinger Equation

T. Paul, P. Markowich, C. Bardos, 2014, 1410.4030.

A nonlinear wave equation in a time dependent domain

Claude Bardos, Jeffery Cooper, C. Bardos, 1973 .

Sensitivity of Stationary Shocks

O. Pironneau, C. Bardos, 2022 .

On the derivation of nonlinear Schrödinger and Vlasov equations

F. Golse, C. Bardos, A. Gottlieb, 2004 .

Contributions to nonlinear partial differential equations

P. Lions, C. Bardos, J. I. Díaz, 1987 .

Practical Applications of the Notions of Propagation of Singularities

Claude Bardos, C. Bardos, 1988 .

Microlocal ideas in control and stabilization

C. Bardos, G. Lebeau, J. Rauch, 1989 .

What Use for the Mathematical Theory of the Navier-Stokes Equations

C. Bardos, 2001 .

Relation between the Trapped Rays and the Distribution of the Eigenfrequencies of the Wave Equation in the Exterior of an Obstacle

C. Bardos, 1983 .

Combining deterministic and statistical approaches to compute two-dimensional turbulent flows with walls

Kai Schneider, Marie Farge, Nicholas K.-R. Kevlahan, 1999 .

Modified dissipativity for a non linear evolution equation arising in turbulence

Uriel Frisch, Claude Bardos, U. Frisch, 1979 .

Distributed Control and Observation

C. Bardos, 2006 .

Diffusion approximation and hyperbolic automorphisms of the torus

F. Golse, C. Bardos, J. Colonna, 1997 .