Global Solutions to a Model for Exothermically Reacting,Compressible Flows with Large Discontinuous Initial Data |
| |
| Authors: | Gui-Qiang Chen David Hoff Konstantina Trivisa |
| |
| Institution: | (1) Department of Mathematics, Northwestern University Evanston, IL 60208-2730, USA e-mail: gqchen@math.northwestern.edu, US;(2) Mathematics Department, Indiana University Bloomington, IN 47405-4301, USA hoff@indiana.edu, US;(3) Department of Mathematics, University of Maryland College Park, MD 20742-4015, USA e-mail: trivisa@math.umd.edu, US |
| |
| Abstract: | We prove the global existence of solutions of the Navier-Stokes equations describing the dynamic combustion of a compressible,
exothermically reacting fluid, and we study the large-time behavior of solutions, giving necessary and sufficient conditions
for complete combustion in certain cases. The adiabatic constants and specific heats of the burned (product) and unburned
(reactant) fluids may differ, and the initial data may be large and discontinuous.
(Accepted August 31, 2002) Published online January 9, 2003
Communicated by C. M. Dafermos |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
