THE SOLVABILITY OF THE INITIAL-BOUNDARY PROBLEM FOR EQUATIONS IN COMBUSTION DYNAMICS WITH LARGY PARAMETER

In this paper, we study the initial-boundary value problem with rigid wall for the equations in combustion dynamics with largy parameter. Introducing variable scalar norms and two seminorms, making use of the vorticity operator, overcome the difficulty from the large parameter. By energy estimation, the existence and unique theorems of local smooth solution is proved.