On the global well-posedness of the 2D Euler equations for a large class of Yudovich type data

DOI10.24033/asens.2222zbMath1305.76014arXiv1204.6006OpenAlexW1785357765MaRDI QIDQ2934377

Sahbi Keraani, Frédéric Bernicot

Publication date: 12 December 2014

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6006

zbMATH Keywords

global well-posednessBMO-type space2D incompressible Euler equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

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Well-posedness for the continuity equation for vector fields with suitable modulus of continuity ⋮ A note on transport equation in quasiconformally invariant spaces ⋮ Local well-posedness and zero-α limit for the Euler-α equations ⋮ The two-dimensional Euler equation in Yudovich and BMO-type spaces ⋮ Wellposedness and convergence of solutions to a class of forced non-diffusive equations with applications ⋮ On the theory of Besov-Herz spaces and Euler equations ⋮ Biparameter BMO under the action of a rotation ⋮ On the 2D isentropic Euler system with unbounded initial vorticity ⋮ On the inviscid limit of the 2D Navier-Stokes equations with vorticity belonging to BMO-type spaces ⋮ On Singular Vortex Patches, I: Well-posedness Issues

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