On the total variation Wasserstein gradient flow and the TV-JKO scheme

DOI10.1051/cocv/2018042OpenAlexW2963708354MaRDI QIDQ5107946

Clarice Poon, Guillaume Carlier

Publication date: 29 April 2020

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00243

zbMATH Keywords

total variationWasserstein gradient flowsJKO schemefourth-order evolution equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Variational methods applied to PDEs (35A15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Duality theory (optimization) (49N15) Quasilinear parabolic equations (35K59)

Related Items (6)

A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation ⋮ Semidual Regularized Optimal Transport ⋮ The total variation-Wasserstein problem: a new derivation of the Euler-Lagrange equations ⋮ A New Class of First Order Displacement Convex Functionals ⋮ Weak solutions to the Muskat problem with surface tension via optimal transport ⋮ Mullins-Sekerka as the Wasserstein flow of the perimeter

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