GLOBAL STABILITY OF BOUNDARY LAYER SOLUTION FOR BENJAMIN-BONA-MAHONY-BURGERS EQUATIONS IN THE HALF-SPACE
This paper investigates an initial-boundary values problem in the half-space for generalized Benjamin-Bona-Mahony-Burgers equations. It shows that there exists a boundary layer solution. It further proves that the boundary layer solution is nonlinear stable with arbitrarily large perturbation. The proof is given by an energy method.
generalized Benjamin-Bona-Mahony-Burgers equation, global stability, boundary layer solution.