Modified Wasserstein gradient flow formulation of time-fractional porous medium equations with nonlocal pressure

2024/09/13 by Chung, Nhan-Phu, Trinh, Thanh-Son
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2409.08441

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.

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