Boltzmann equation for a binary gas mixture with perturbed reflection boundary conditions

DOI10.1080/00036811.2021.1919648zbMath1497.35334OpenAlexW3158289227MaRDI QIDQ5038085

Kung-Chien Wu, Yu-Chu Lin

Publication date: 29 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1919648

zbMATH Keywords

asymptotic behaviorBoltzmann equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

Cites Work

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• Knudsen layer for gas mixtures
• Nonlinear boundary layers of the Boltzmann equation. I: Existence
• Milne problem for the linear and linearized Boltzmann equations relevant to a binary gas mixture
• The milne and kramers problems for the boltzmann equation of a hard sphere gas
• A classification of well-posed kinetic layer problems
• The Classification of Well-Posed Kinetic Boundary Layer for Hard Sphere Gas Mixtures