Large-time behavior of solutions of the discrete Boltzmann equation

Shuichi Kawashima

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Large-time behavior of solutions of the one-dimensional discrete Boltzmann equation is studied. Under suitable assumptions it is proved that as time tends to infinity, the solution approaches a function which is constructed explicitly in terms of the self-similar solutions of the Burgers equation and the linear heat equation.

Original languageEnglish
Pages (from-to)563-589
Number of pages27
JournalCommunications in Mathematical Physics
Volume109
Issue number4
DOIs
Publication statusPublished - Dec 1 1987

Fingerprint

Large Time Behavior
Self-similar Solutions
Discrete Equations
Behavior of Solutions
Burgers Equation
Boltzmann Equation
Heat Equation
Linear equation
Infinity
Tend
Burger equation
infinity
thermodynamics

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Large-time behavior of solutions of the discrete Boltzmann equation. / Kawashima, Shuichi.

In: Communications in Mathematical Physics, Vol. 109, No. 4, 01.12.1987, p. 563-589.

Research output: Contribution to journalArticle

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