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

Pages: 852 - 863, Issue Special, July 2003

 Abstract        Full Text (197.2K)              

Konstantina Trivisa - Department of Mathematics, University of Maryland, College Park, MD 20742, United States (email)

Abstract: 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:  Compressible, reacting fluids, Navier-Stokes equations, dynamic combustion, total variation estimates, difference approximation techniques, energy methods.
Mathematics Subject Classification:  35B40, 35D05, 76N10, 35B45.

Received: September 2002;      Revised: April 2003;      Published: April 2003.