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

DOI10.1142/S0218202501001483zbMath1012.82014OpenAlexW2080200947MaRDI QIDQ4798926

Claude Bardos, Kazuo Aoki, François Golse, Christian Dogbe

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202501001483

zbMATH Keywords

kinetic modelflow structurediscontinuity of the boundary data

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

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Cites Work

• Regularity of the moments of the solution of a transport equation
• A proof of the smoothing properties of the positive part of Boltzmann's kernel
• Compactness in Boltzmann's equation via Fourier integral operators and applications. I, II
• On the singularities of the global small solutions of the full Boltzmann equation
• Propagation phenomena in classical and relativistic rarefied gases
• A rarefied gas flow caused by a discontinuous wall temperature
• Kinetic theory analysis of steady evaporating flows from a spherical condensed phase into a vacuum
• Numerical analysis of a uniform flow of a rarefied gas past a sphere on the basis of the Boltzmann equation for hard-sphere molecules
• The Convergence of Numerical Transfer Schemes in Diffusive Regimes I: Discrete-Ordinate Method
• Discontinuity of the velocity distribution function in a rarefied gas around a convex body and the S layer at the bottom of the Knudsen layer
• Regularity in the boltzmann equation and the radon transform

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