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math.AP2024
Modified Wasserstein gradient flow formulation of time-fractional porous medium equations with nonlocal pressure
Nhan-Phu Chung, Thanh-Son Trinh
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 Wasserst…
math.AP2022
Gradient flows of modified Wasserstein distances and porous medium equations with nonlocal pressure
Nhan-Phu Chung, Quoc-Hung Nguyen
We study families of porous medium equation with nonlocal pressure. We construct their weak solutions via JKO schemes for modified Wasserstein distances. We also establish the regu…