Gradient flows of modified Wasserstein distances and porous medium equations with nonlocal pressure
Analysis of PDEs
2022-05-24 v2
Abstract
We study families of porous medium equation with nonlocal pressure. We construct their weak solutions via JKO schemes for modified Wasserstein distances. We also establish the regularization effect and decay estimates for the norms.
Keywords
Cite
@article{arxiv.2205.08748,
title = {Gradient flows of modified Wasserstein distances and porous medium equations with nonlocal pressure},
author = {Nhan-Phu Chung and Quoc-Hung Nguyen},
journal= {arXiv preprint arXiv:2205.08748},
year = {2022}
}
Comments
24 pages. Dedicated to Professor Duong Minh Duc on the occasion of his 70th birthday. Comments welcome