Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit

Abstract EN

We study an initial-boundary value problem for a nonlinear evolution system with damping and diffusion; our main purpose is to investigate the boundary layer effects when the vanishing diffusion limit α→0+, especially for the mixed boundary conditions; we prove that the thickness of layer is of the order O(α).

Furthermore, the corresponding convergence rates are also obtained.