An entropic interpolation problem for incompressible viscous fluids

DOI10.1214/19-AIHP1036zbMath1458.76024arXiv1704.02126OpenAlexW4288283536MaRDI QIDQ2227483

Marc Arnaudon, Jean-Claude Zambrini, Christian Léonard, Ana Bela Cruzeiro

Publication date: 15 February 2021

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02126

zbMATH Keywords

diffusion processconvex dualityentropy minimizationBrenier geodesic problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational problems in a geometric measure-theoretic setting (49Q20) Variational methods applied to problems in fluid mechanics (76M30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Variational principles of physics (49S05)

Related Items (7)

Brenier–Schrödinger problem on compact manifolds with boundary ⋮ Toward a mathematical theory of trajectory inference ⋮ Convergence rate of general entropic optimal transport costs ⋮ Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm ⋮ Nash embedding, shape operator and Navier-Stokes equation on a Riemannian manifold ⋮ Small noise limit and convexity for generalized incompressible flows, Schrödinger problems, and optimal transport ⋮ An entropy minimization approach to second-order variational mean-field games

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