Stability for implicit-explicit schemes for non-equilibrium kinetic systems in weighted spaces with symmetrization

Abstract

We consider kinetic systems and prove their stability working in weighted spaces in which the systems are symmetric. We prove stability for various explicit and implicit semi-discrete and fully discrete schemes. The applications include advective and diffusive transport coupled to the accumulation of immobile components governed by non-equilibrium relationships. We also discuss extensions to nonlinear relationships and multiple species.

27 pages, 5 figures