Time-convexity of the entropy in the multiphasic formulation of the incompressible Euler equation

DOI10.1007/s00526-017-1262-1zbMath1387.35477arXiv1701.06391OpenAlexW2963828624WikidataQ115387280 ScholiaQ115387280MaRDI QIDQ1688773

Hugo Lavenant

Publication date: 11 January 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06391

zbMATH Keywords

Euler equationWasserstein spaceBrenier's model and conjectureflow interchange

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Incompressible inviscid fluids (76B99) Euler equations (35Q31)

Related Items (6)

Optimal density evolution with congestion: L^∞ bounds via flow interchange techniques and applications to variational Mean Field Games ⋮ Measure-valued variational models with applications to diffusion-weighted imaging ⋮ Small noise limit and convexity for generalized incompressible flows, Schrödinger problems, and optimal transport ⋮ Multi-species optimal transportation ⋮ New estimates on the regularity of the pressure in density‐constrained mean field games ⋮ Various formulations and approximations of incompressible fluid motions in porous media

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