Boltzmann asymptotics with diffuse reflection boundary conditions
type: Item
instance of: scholarly article
title: Boltzmann asymptotics with diffuse reflection boundary conditions
zbMATH Open document ID: 0877.76063
DOI: 10.1007/BF01326764
author: O. Diekmann
published in: Monatshefte für Mathematik
publication date: 1997-06-10T00:00:00Z
full work available at URL: https://eudml.org/doc/178774
review text: This paper deals with the nonlinear Boltzmann equation \((\partial_t+ \xi \cdot \nabla_x) f=Q(f,f)\), where \(Q\) is the collision operator. The collisionless case is first considered, and then strong \(L^1\)-convergence to a stationary solution when \(t\to+ \infty\) is proved in a bounded domain, with constant temperature on the boundary.
reviewed by: Jean Mawhin
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82B40
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 1019723
zbMATH Keywords: strong \(L(1)\)-convergence
zbMATH Keywords: nonlinear Boltzmann equation
zbMATH Keywords: collision operator
zbMATH Keywords: collisionless case
zbMATH Keywords: bounded domain
MaRDI profile type: Publication
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OpenAlex ID: W2094632677
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description: scientific article; zbMATH DE number 1019723