修正Wasserstein距离与具有非局部压强的多孔介质方程的梯度流
偏微分方程分析
2022-05-24 v2
摘要
我们研究具有非局部压强的多孔介质方程族。我们通过修正Wasserstein距离的JKO格式构造其弱解。我们还建立了范数的正则化效应与衰减估计。
引用
@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}
}
备注
24 pages. Dedicated to Professor Duong Minh Duc on the occasion of his 70th birthday. Comments welcome