Modified Wasserstein gradient flow formulation of time-fractional porous medium equations with nonlocal pressure
Analysis of PDEs
2024-09-16 v1
Abstract
We consider a class of time-fractional porous medium equations with nonlocal pressure. We show the existence of their weak solutions by proposing a JKO scheme for modified Wasserstein distance and a square fractional Sobolev norm. Moreover, the regularization effect and the Lp norm estimate are established in this paper.
Keywords
Cite
@article{arxiv.2409.08441,
title = {Modified Wasserstein gradient flow formulation of time-fractional porous medium equations with nonlocal pressure},
author = {Nhan-Phu Chung and Thanh-Son Trinh},
journal= {arXiv preprint arXiv:2409.08441},
year = {2024}
}