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