Boundary singularity of moments for the linearized Boltzmann equation

DOI10.1007/s10955-013-0817-6zbMath1285.35060OpenAlexW2090892201MaRDI QIDQ385560

I.-Kun Chen

Publication date: 2 December 2013

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

Full work available at URL: https://doi.org/10.1007/s10955-013-0817-6

zbMATH Keywords

Boltzmann equationlogarithmic singularitykinetic theoryplanar boundary

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, Gradient divergence of fluid-dynamic quantities in rarefied gases on smooth boundaries, 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariant manifolds for steady Boltzmann flows and applications
• Molecular gas dynamics. Theory, techniques, and applications.
• Half-space problems for the Boltzmann equation: a survey
• Singularity of the velocity distribution function in molecular velocity space
• On a boundary layer problem for the nonlinear Boltzmann equation
• Nonlinear boundary layers of the Boltzmann equation. I: Existence
• Nonlinear stability of boundary layers of the Boltzmann equation. I: The case \(\mathcal M^\infty<-1\)
• 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
• The milne and kramers problems for the boltzmann equation of a hard sphere gas
• Stationary solutions of the linearized Boltzmann equation in a half‐space
• A compactness result related to the stationary Boltzmann equations in a slab, with applications to the existence theory
• Singular behaviour of a rarefied gas on a planar boundary