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- W4302401116 abstract "In this paper, we study the Wasserstein gradient flow structure of the porous medium equation. We prove that, for the case of $q$-Gaussians on the real line, the functional derived by the JKO-discretization scheme is asymptotically equivalent to a rate-large-deviation-like functional. The result explains why the Wasserstein metric as well as the combination of it with the Tsallis-entropy play an important role." @default.
- W4302401116 created "2022-10-06" @default.
- W4302401116 creator A5065883363 @default.
- W4302401116 date "2013-07-19" @default.
- W4302401116 modified "2023-09-30" @default.
- W4302401116 title "Asymptotic equivalence of the discrete variational functional and a rate-large-deviation-like functional in the Wasserstein gradient flow of the porous medium equation" @default.
- W4302401116 doi "https://doi.org/10.48550/arxiv.1307.5184" @default.
- W4302401116 hasPublicationYear "2013" @default.
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