Relaxed many-body optimal transport and related asymptotics

DOI10.1515/acv-2022-0085zbMATH Open1543.49008MaRDI QIDQ6566021

Ugo Bindini, Guy Bouchitté

Publication date: 3 July 2024

Published in: Advances in the Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

mean-field limits\(N\)-body optimal transportinfinite-body optimal transportoptimization on sub-probabilitiesrelaxation and \(\Gamma \)-convergence

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Methods involving semicontinuity and convergence; relaxation (49J45) Convergence of probability measures (60B10) Duality theory (optimization) (49N15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) PDEs with measure (35R06)

Cites Work

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• Coulomb gases and Ginzburg-Landau vortices
• The equilibrium measure for an anisotropic nonlocal energy
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• Perfect Blankets

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