Boundary singularity for thermal transpiration problem of the linearized Boltzmann equation

DOI10.1007/s00205-013-0714-9zbMath1293.35193OpenAlexW1971309429MaRDI QIDQ2453974

Shigeru Takata, Tai-Ping Liu, I.-Kun Chen

Publication date: 12 June 2014

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-013-0714-9

zbMATH Keywords

Boltzmann equationasymptotic formulalarge Knudsen numbersthermal transpiration problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

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Cites Work

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• Thermal transpiration for the linearized Boltzmann equation
• Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules