Singularity of the velocity distribution function in molecular velocity space

DOI10.1007/s00220-015-2476-8zbMath1335.35174OpenAlexW2273673953MaRDI QIDQ906909

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

Publication date: 1 February 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/261180

Mathematics Subject Classification ID

Boltzmann equations (35Q20)

Related Items

Singularity of Macroscopic Variables Near Boundary for Gases with Cutoff Hard Potential, Validity and regularization of classical half-space equations, Boundary singularity of moments for the linearized Boltzmann equation, Regularity of Stationary Solutions to the Linearized Boltzmann Equations, Regularity for diffuse reflection boundary problem to the stationary linearized Boltzmann equation in a convex domain, Thermal creep of a rarefied gas on the basis of non-linear Korteweg-theory

Cites Work

• Molecular gas dynamics. Theory, techniques, and applications.
• Boundary singularity for thermal transpiration problem of the linearized Boltzmann equation
• Poiseuille and thermal transpiration flows of a highly rarefied gas: over-concentration in the velocity distribution function
• 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
• Singular behaviour of a rarefied gas on a planar boundary
• Unnamed Item