Existence of nonlinear boundary layer to the Boltzmann equation with reverse reflection boundary condition

DOI10.1016/J.NA.2009.06.018zbMath1178.35283OpenAlexW2009698681MaRDI QIDQ1044503

Qianzhu Tian

Publication date: 18 December 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.06.018

zbMATH Keywords

Boltzmann equationboundary layerreverse reflection

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Cites Work

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• Nonlinear stability of boundary layers of the Boltzmann equation. I: The case \(\mathcal M^\infty<-1\)
• Kinetic theory and fluid dynamics
• A half-space problem for the Boltzmann equation with specular reflection boundary condition
• Nonlinear stability of boundary layers of the Boltzmann equation for cutoff hard potentials
• Existence of boundary layers to the Boltzmann equation with cutoff soft potentials
• The milne and kramers problems for the boltzmann equation of a hard sphere gas
• Transport equations with boundary conditions of reverse reflection type
• EXISTENCE OF BOUNDARY LAYER SOLUTIONS TO THE BOLTZMANN EQUATION

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