Asymptotic Behavior of Gradient Flows Driven by Nonlocal Power Repulsion and Attraction Potentials in One Dimension

DOI10.1137/140951497zbMath1328.49043arXiv1401.2338OpenAlexW2963781105MaRDI QIDQ5179161

Jan-Christian Hütter, Daniel Matthes, Marco Di Francesco, Massimo Fornasier

Publication date: 19 March 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.2338

zbMATH Keywords

Wasserstein metricgradient flowconvolution equationnonlocal aggregationimage dithering

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Integro-partial differential equations (45K05) Variational problems in a geometric measure-theoretic setting (49Q20) The dynamics of infinite particle systems (70F45)

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