Asymptotic Preserving and Multiscale Methods for Kinetic and Hyperbolic Problems

Boundaries and interfaces in asymptotics from hyperbolic systems

Nicolas Seguin



In presence of boundaries or of spatial interfaces, hyperbolic equations with source terms lead to physical layers. In the case of some particular asymptotics as hyperbolic relaxation or parabolic limits, these layers vanish at the limit. The question we address is the design of numerical schemes which are able to accurately solve the limit problem, avoiding numerical layers.