Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
75/2002

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

Marta Lewicka and Piotr B. Mucha

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.

Received:
Aug 29, 2002
Published:
Aug 29, 2002
MSC Codes:
76N10, 35B40, 35Q35
Keywords:
viscous reactive gas, p'th power gas, temporal asymptotics

Related publications

inJournal
2004 Repository Open Access
Piotr B. Mucha and Marta Lewicka

On temporal asymptotics for the pth power viscous reactive gas

In: Nonlinear analysis / A, 57 (2004) 7/8, pp. 951-969