arXiv:2403.13691 Abstract | arXiv Analytics

arXiv:2403.13691 [math.AP]Abstract References Reviews Resources

Optimal Regularity for the 2D Euler Equations in the Yudovich class

Nicola de Nitti, David Meyer, Christian Seis

Published 2024-03-20Version 1

We analyze the optimal regularity that is exactly propagated by a transport equation driven by a velocity field with BMO gradient. As an application, we study the 2D Euler equations in case the initial vorticity is bounded. The sharpness of our result for the Euler equations follows from a variation of Bahouri and Chemin's vortex patch example.

Categories: math.AP

Subjects: 35Q35, 76B03, 76B47, 35B65

Keywords: 2d euler equations, optimal regularity, yudovich class, chemins vortex patch example, transport equation driven

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