Boundary layers in parabolic perturbations of scalar conservation laws
This paper is concerned with the boundary layer thickness for parabolic perturbations of a scalar conservation law, and addresses the case where the vanishing viscosity limit solution is identically zero. To make the presentation self contained, existence and uniqueness of entropy solutions for the initial boundary value problem (IBVP) involving the scalar conservation law are studied; indeed, a solution to this problem can be obtained as the limit of a function which is the solution of the associated parabolic perturbation of this IBVP problem. Finally, the paper addresses an important question of estimating the boundary layer thickness.
scientific article; zbMATH DE number 2123171