Long-time asymptotics for nonlocal porous medium equation with absorption or convection

Abstract

In this paper, the long-time asymptotic behaviours of nonlocal porous medium equations with absorption or convection are studied. In the parameter regimes when the nonlocal diffusion is dominant, the entropy method is adapted in this context to derive the exponential convergence of relative entropy of solutions in similarity variables.

Cited by in corpus (1)

• Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection