Symmetry of the linearized Boltzmann equation and its application

DOI10.1007/s10955-009-9793-2zbMath1192.76044OpenAlexW2030503429MaRDI QIDQ1035814

Shigeru Takata

Publication date: 4 November 2009

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/77711

zbMATH Keywords

convergenceGreen functionreciprocityKnudsen layer

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (14)

Note on the relation between thermophoresis and slow uniform flow problems for a rarefied gas ⋮ Reciprocity relations in flows of a rarefied gas between plane parallel walls with nonuniform surface properties ⋮ Second-order Knudsen-layer analysis for the generalized slip-flow theory II: Curvature effects ⋮ Asymptotic theory for the time-dependent behavior of a slightly rarefied gas over a smooth solid boundary ⋮ Symmetry of the unsteady linearized Boltzmann equation in a fixed bounded domain ⋮ Comment on “Note on the relation between thermophoresis and slow uniform flow problems for a rarefied gas” [Phys. Fluids 21, 112001 (2009)] ⋮ Response to “Comment on ‘Note on the relation between thermophoresis and slow uniform flow problems for a rarefied gas’” [Phys. Fluids 22, 049101 (2010)] ⋮ Slow evaporation and condensation on a spherical droplet in the presence of a noncondensable gas ⋮ Reply to the comments of Sharipov on ``Symmetry of the linearized Boltzmann equation ⋮ Comments on ``Symmetry of the linearized Boltzmann equation by S. Takata ⋮ Poiseuille and thermal transpiration flows of a highly rarefied gas: over-concentration in the velocity distribution function ⋮ Symmetry of the linearized Boltzmann equation. II: Entropy production and Onsager-Casimir relation ⋮ On the second-order temperature jump coefficient of a dilute gas ⋮ Inversion of the transverse force on a spinning sphere moving in a rarefied gas

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