American Institute of Mathematical Sciences

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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

Konstantina Trivisa 1,

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.
Keywords: difference approximation techniques, dynamic combustion, energy methods., reacting fluids, Compressible, total variation estimates, Navier-Stokes equations.
Mathematics Subject Classification: 35B40, 35D05, 76N10, 35B4.
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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