Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit
Linrui Li, Shu Wang · Discrete Dynamics in Nature and Society · 2018
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.