On the boundary layer equations with phase transition in the kinetic theory of gases

DOI10.1007/S00205-021-01608-9zbMath1472.82011arXiv1909.00034OpenAlexW3134919486MaRDI QIDQ2662022

François Golse, Niclas Bernhoff

Publication date: 8 April 2021

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

Full work available at URL: https://arxiv.org/abs/1909.00034

zbMATH Keywords

phase transitionkinetic theory of gasessteady Boltzmann equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Boltzmann equations (35Q20)

Related Items (8)

Boundary Layer Solution of the Boltzmann Equation for Diffusive Reflection Boundary Conditions in Half-Space ⋮ Stability of the nonlinear Milne problem for radiative heat transfer system ⋮ On well-posed boundary conditions for the linear non-homogeneous moment equations in half-space ⋮ Linear half-space problems in kinetic theory: Abstract formulation and regime transitions ⋮ Linearized Boltzmann collision operator. I: Polyatomic molecules modeled by a discrete internal energy variable and multicomponent mixtures ⋮ Boundary layer solution of the Boltzmann equation for specular boundary condition ⋮ Compactness property of the linearized Boltzmann collision operator for a multicomponent polyatomic gas ⋮ The half-space problem for the Boltzmann equation with phase transition at the boundary

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