Asymptotic equivalence of the discrete variational functional and a rate-large-deviation-like functional in the Wasserstein gradient flow of the porous medium equation

DOI10.3233/ASY-141272zbMath1321.49025arXiv1307.5184MaRDI QIDQ5261142

Manh Hong Duong

Publication date: 1 July 2015

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5184

zbMATH Keywords

variational methodsporous medium equation\(\Gamma\)-convergenceWasserstein gradient flow\(q\)-Gaussiansrate-large-deviation-like functional

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Methods involving semicontinuity and convergence; relaxation (49J45) Large deviations (60F10) Discrete approximations in optimal control (49M25)

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