Gradient flows of modified Wasserstein Distances and Porous Medium Equations with Nonlocal Pressure

Please use this identifier to cite or link to this item: https://digital.lib.ueh.edu.vn/handle/UEH/68718

Title:	Gradient flows of modified Wasserstein Distances and Porous Medium Equations with Nonlocal Pressure
Author(s):	Nhan-Phu Chung
Keywords:	JKO scheme; Modified Wasserstein distances; Fractional Laplacian
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 Lp norms.
Issue Date:	2023
Publisher:	Springer
URI:	https://digital.lib.ueh.edu.vn/handle/UEH/68718
DOI:	https://doi.org/10.1007/s40306-023-00497-2
ISSN:	0251-4184 (Print), 2315-4144 (Online)
Appears in Collections:	INTERNATIONAL PUBLICATIONS

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