Half-space kinetic equations with general boundary conditions

DOI10.1090/mcom/3155zbMath1360.35131arXiv1509.03225OpenAlexW2964241805MaRDI QIDQ2967966

Weiran Sun, Qin Li, Jian-feng Lu

Publication date: 9 March 2017

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03225

zbMATH Keywords

numerical examplesinequalitysuperpositionhalf-space kinetic equationsnull space operator

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boltzmann equations (35Q20)

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Cites Work

• Unnamed Item
• Unnamed Item
• The nonlinear boundary layer to the Boltzmann equation with mixed boundary conditions for hard potentials
• On half-space problems for the weakly non-linear discrete Boltzmann equation
• Nonlinear boundary layers of the Boltzmann equation. I: Existence
• A numerical method for computing asymptotic states and outgoing distributions for kinetic linear half-space problems.
• Boundary singularity for thermal transpiration problem of the linearized Boltzmann equation
• A MIXED VARIATIONAL FRAMEWORK FOR THE RADIATIVE TRANSFER EQUATION
• Computation of the asymptotic states for linear half space kinetic problems
• A classification of well-posed kinetic layer problems
• Singular behaviour of a rarefied gas on a planar boundary

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