Long-time asymptotics for nonlocal porous medium equation with absorption or convection
Analysis of PDEs
2023-11-08 v1
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.
Keywords
Cite
@article{arxiv.1803.01697,
title = {Long-time asymptotics for nonlocal porous medium equation with absorption or convection},
author = {Filomena Feo and Yanghong Huang and Bruno Volzone},
journal= {arXiv preprint arXiv:1803.01697},
year = {2023}
}