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We have decided to discontinue the publication of preprints on our preprint server end of 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.
On temporal asymptotics for the p'th power viscous reacitve gas
Marta Lewicka and Piotr B. MuchaAbstract
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:
- 29.08.02
- Published:
- 29.08.02
- MSC Codes:
- 76N10, 35B40, 35Q35
- Keywords:
- viscous reactive gas, p'th power gas, temporal asymptotics