Stationary solutions for the ellipsoidal BGK model in a slab

Jeaheang Bang; Seok Bae Yun

doi:10.1016/j.jde.2016.08.022

Stationary solutions for the ellipsoidal BGK model in a slab

Jeaheang Bang
, Seok Bae Yun

Department of Mathematics

Rutgers - The State University of New Jersey, New Brunswick

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We address the boundary value problem for the ellipsoidal BGK model of the Boltzmann equation posed in a bounded interval. The existence of a unique mild solution is established under the assumption that the inflow boundary data does not concentrate too much around the zero velocity, and the gas is sufficiently rarefied.

Original language	English
Pages (from-to)	5803-5828
Number of pages	26
Journal	Journal of Differential Equations
Volume	261
Issue number	10
DOIs	https://doi.org/10.1016/j.jde.2016.08.022
State	Published - 15 Nov 2016

Keywords

Boltzmann equation
Boundary value problem in a slab
Ellipsoidal BGK model
Inflow boundary conditions
Kinetic theory of gases

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10.1016/j.jde.2016.08.022

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title = "Stationary solutions for the ellipsoidal BGK model in a slab",

abstract = "We address the boundary value problem for the ellipsoidal BGK model of the Boltzmann equation posed in a bounded interval. The existence of a unique mild solution is established under the assumption that the inflow boundary data does not concentrate too much around the zero velocity, and the gas is sufficiently rarefied.",

keywords = "Boltzmann equation, Boundary value problem in a slab, Ellipsoidal BGK model, Inflow boundary conditions, Kinetic theory of gases",

author = "Jeaheang Bang and Yun, \{Seok Bae\}",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

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AU - Bang, Jeaheang

AU - Yun, Seok Bae

PY - 2016/11/15

Y1 - 2016/11/15

N2 - We address the boundary value problem for the ellipsoidal BGK model of the Boltzmann equation posed in a bounded interval. The existence of a unique mild solution is established under the assumption that the inflow boundary data does not concentrate too much around the zero velocity, and the gas is sufficiently rarefied.

AB - We address the boundary value problem for the ellipsoidal BGK model of the Boltzmann equation posed in a bounded interval. The existence of a unique mild solution is established under the assumption that the inflow boundary data does not concentrate too much around the zero velocity, and the gas is sufficiently rarefied.

KW - Boltzmann equation

KW - Boundary value problem in a slab

KW - Ellipsoidal BGK model

KW - Inflow boundary conditions

KW - Kinetic theory of gases

UR - https://www.scopus.com/pages/publications/84992046880

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DO - 10.1016/j.jde.2016.08.022

M3 - Article

AN - SCOPUS:84992046880

SN - 0022-0396

VL - 261

SP - 5803

EP - 5828

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 10

ER -

Stationary solutions for the ellipsoidal BGK model in a slab

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