Preprint 75/2002

On temporal asymptotics for the p'th power viscous reacitve gas

Marta Lewicka and Piotr B. Mucha

Contact the author: Please use for correspondence this email.
Submission date: 29. Aug. 2002
Pages: 18
published in: Nonlinear analysis / A, 57 (2004) 7/8, p. 951-969 
DOI number (of the published article): 10.1016/j.na.2003.12.001
Bibtex
MSC-Numbers: 76N10, 35B40, 35Q35
Keywords and phrases: viscous reactive gas, p'th power gas, temporal asymptotics
Download full preprint: PDF (210 kB), PS ziped (210 kB)

Abstract:
In this paper we investigate the long time behaviour of solutions to the system governing a heat-conductive, viscous reactive p'th power gas confined between two parallel plates. For initial-boundary value problems with the end points held at a prescribed temperature or insulated, we prove the global existence of physically relevant solutions and establish their rate of convergence to equilibria, for generic initial data. The estimates for different boundary conditions are presented in a unified manner.

03.07.2017, 01:40