Global a priori estimates for a viscous reactive gas-Reference-Cited by-同舟云学术

Global a priori estimates for a viscous reactive gas

Published:1985 Issue:3-4 Volume:101 Page:321-333
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Bebernes J.,Bressan A.

Abstract

SynopsisA priori estimates on the solution to the complete system of equations governing a heat-conductive, viscous reactive perfect gas confined between two infinite parallel plates are derived. From these estimates, global existence of both weak and classical solutions is obtained.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. Le problème de Cauchy pour les équations différentielles d'un fluide général

2. 6 Matsumura A. and Nishida T. . Initial-boundary value problems for the equations of motion of compressible viscous fluids. University of California Mathematical Sciences Research Institute, Technical Report, MSRI 008–83.

3. Existence theorems for the equations of motion of a compressible viscous fluid;Kazhikhov;Ann. Rev. Fluid Mech.,1981

4. Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas

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