Non-uniqueness up to the Onsager threshold for the forced SQG equation

Autor:	Bulut, Aynur, Huynh, Manh Khang, Palasek, Stan
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We establish new non-uniqueness results for the forced inviscid surface quasi-geostrophic equation, via an alternating formulation of convex integration techniques. Our results imply non-uniquenesss in the class of weak solutions with $|\nabla|^{-1}\theta\in C_tC_x^\alpha$, for any $\alpha<1$. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.12947 Zobrazit plný text záznamu View this record from Arxiv