Gradient Flows of Modified Wasserstein Distances and Porous Medium Equations with Nonlocal Pressure

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2023-02-14 DOI:10.1007/s40306-023-00497-2

Nhan-Phu Chung, Quoc-Hung Nguyen

引用次数: 0

Abstract

We study families of porous medium equations 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 L^p norms.

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具有非局部压力的Wasserstein距离和多孔介质方程的梯度流

我们研究了具有非局部压力的多孔介质方程组。我们通过修正Wasserstein距离的JKO方案构造了它们的弱解。我们还建立了Lp范数的正则化效应和衰减估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.