Uniform stability of solutions of Boltzmann equation for soft potential with external force

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

5 Scopus Citations
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Author(s)

  • Chi Honn Cheng

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)724-732
Journal / PublicationJournal of Mathematical Analysis and Applications
Volume352
Issue number2
Publication statusPublished - 15 Apr 2009

Abstract

The study of Cauchy problem of the Boltzmann equation is important in both theory and applications. Existence of global solutions to the equation and uniform stability of solutions in the absence of external force were introduced in the previous work on the Boltzmann equation. In this paper, we will investigate the uniform stability of solutions in L1 for the Cauchy problem of the Boltzmann equation when there is an external force for the case of soft potentials. © 2008 Elsevier Inc. All rights reserved.

Research Area(s)

  • Boltzmann equation, L1-stability, Soft potentials