2003, 2003(Special): 852-863. doi: 10.3934/proc.2003.2003.852

Global existence and asymptotic analysis of solutions to a model for the dynamic combustion of compressible fluids

1. 

Department of Mathematics, University of Maryland, College Park, MD 20742, United States

Received  September 2002 Revised  April 2003 Published  April 2003

A model is introduced for the dynamic combustion of exothermically reacting, compressible fluids formulated by the Navier-Stokes equations expressing the conservation of mass, the balance of momentum and energy and the two species chemical kinetics. The global existence of the discontinuous solutions to the Navier- Stokes equations with large discontinuous initial data is established by combining the difference approximations techniques and energy estimates. The asymptotic analysis of solutions is also discussed.
Citation: Konstantina Trivisa. Global existence and asymptotic analysis of solutions to a model for the dynamic combustion of compressible fluids. Conference Publications, 2003, 2003 (Special) : 852-863. doi: 10.3934/proc.2003.2003.852
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