On the Uniqueness and Existence Problem for a Multidimensional Reacting and Convection System

The paper is concerned with the uniqueness and existence problemfor a multidimensional reacting and convection system with thevanishing viscosity method. The uniqueness theorem is obtainedfrom the stability with respect to the initial data. To solvethe existence problem, the uniqueness and existence of solutionsto a viscous system are first proved, and then the L¹-modulusof continuity of solutions independent of the small viscosityis obtained.