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Cercignani-Lampis boundary in the Boltzmann theory (Q2197876)

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Language	Label	Description	Also known as
English	Cercignani-Lampis boundary in the Boltzmann theory	scientific article

Statements

scholarly article

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Cercignani-Lampis boundary in the Boltzmann theory (English)

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Kinetic and Related Models

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publication date

1 September 2020

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full work available at URL

https://arxiv.org/abs/1906.01808

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zbMATH Keywords

boundary value problem

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local well-posedness

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unique steady solution

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reflection law

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MaRDI profile type

MaRDI publication profile

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Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains

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The mathematical theory of dilute gases

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Kinetic models for gas-surface interactions

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Local well-posedness of Vlasov-Poisson-Boltzmann equation with generalized diffuse boundary condition

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Effects of soft interaction and non-isothermal boundary upon long-time dynamics of rarefied gas

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Non-isothermal boundary in the Boltzmann theory and Fourier law

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Stationary solutions to the Boltzmann equation in the hydrodynamic limit

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The linearized Boltzmann equation with Cercignani-Lampis boundary conditions: basic flow problems in a plane channel

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Viscous-slip, thermal-slip, and temperature-jump coefficients based on the linearized Boltzmann equation (and five kinetic models) with the Cercignani-Lampis boundary condition

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Bounded solutions for the Boltzmann equation

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Decay and continuity of the Boltzmann equation in bounded domains

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BV-regularity of the Boltzmann equation in non-convex domains

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Regularity of the Boltzmann equation in convex domains

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Formation and propagation of discontinuity for Boltzmann equation in non-convex domains

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Decay of the Boltzmann equation with the specular boundary condition in non-convex cylindrical domains

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The Boltzmann Equation with Specular Boundary Condition in Convex Domains

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Surface effects in rarefied gas dynamics: an analysis based on the Cercignani--Lampis boundary condition

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On the Temperature‐Jump Problem in Rarefied Gas Dynamics: The Effect of the Cercignani–Lampis Boundary Condition

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Some extensions to the Cercignani–Lampis gas–surface scattering kernel

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Some further extensions of the Cercignani–Lampis gas–surface interaction model

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Higher order slip according to the linearized Boltzmann equation with general boundary conditions

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Kinetic equations with Maxwell boundary conditions

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Application of the Cercignani-Lampis scattering kernel to calculations of rarefied gas flows. I: Plane flow between two parallel plates

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Application of the Cercignani-Lampis scattering kernel to calculations of rarefied gas flows. II: Slip and jump coefficients.

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Application of the Cercignani-Lampis scattering kernel to calculations of rarefied gas flows. III: Poiseuille flow and thermal creep through a long tube.

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Viscous-slip, thermal-slip, and temperature-jump coefficients as defined by the linearized Boltzmann equation and the Cercignani–Lampis boundary condition

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.3934/KRM.2020019

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Sitelinks

Mathematics(1 entry)

mardi Publication:2197876

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