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

Autor:	de Nitti, Nicola, Meyer, David, Seis, Christian
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs 35Q35 76B03 76B47 35B65
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.13691 Zobrazit plný text záznamu View this record from Arxiv