A proof of Onsager's Conjecture for the SQG equation

Autor:	Looi, Shi-Zhuo, Isett, Philip
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We construct solutions to the SQG equation that fail to conserve the Hamiltonian while having the maximal allowable regularity for this property to hold. This result solves the generalized Onsager conjecture on the threshold regularity for Hamiltonian conservation for SQG. Comment: 54 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.02578 Zobrazit plný text záznamu View this record from Arxiv