EXISTENCE AND UNIQUENESS OF THE SOLUTION TO THE EDGE PROBLEM IN A TWO-DIMENSIONAL REACTIVE BOUNDARY LAYER

Abstract

We prove an existence and uniqueness theorem for the ordinary differential problem which characterizes the profiles of the different physical quantities at the edge of two-dimensional reactive boundary layer. The main difficulties to be circumvented are the nonlinearities due to the different thermodynamical functions involved in the reactive boundary layer equations and the degeneracy caused by the natural initial conditions, where the tangential velocity has to vanish. We conclude by making some mathematical considerations about the relations that exist between the reactive boundary layer equations and the corresponding equations which describe the boundary layer in chemical equilibrium.