Global Solutions to A Model For Exothermically Reacting, Compressible Flows with Large Discontinuous Initial Data

Authors: Gui-Qiang Chen, David Hoff, and Konstantina Trivisa

Title: Global Solutions to A Model For Exothermically Reacting, Compressible Flows with Large Discontinuous Initial Data

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.

This article has appeared in:
Achive Rational Mechanics and Analysis vol. 166 , Page 81-98, 2003.

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Author Address
    Gui-Qiang Chen
    Department of Mathematics
    Northwestern University
    Evanston, IL 60208-2730
    gqchen@math.northwestern.edu