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Modified Wasserstein gradient flow formulation of time-fractional porous medium equations with nonlocal pressure (2409.08441v1)
Published 13 Sep 2024 in math.AP
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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