GLOBAL EXISTENCE AND LARGE TIMEBEHAVIOR OF SOLUTION TO REACTING FLOW MODEL WITH BOUNDARY EFFECT

The initial boundary value problem (IBVP) for the 3×3 hyperbolic system of reacting flow with source term proposed by R.J.LeVeque and others (see 8]) is considered.It is shown,in the present paper,that if the initial data are a suitable perturbation of a shifted shock profile which is suitably away from the boundary,then there exists a unique smooth solution in R2+ to the IBVP of the 3×3 hyperbolic system,which tends to another shifted shock profile of this system as t→∞.