A proof of Onsager's Conjecture for the SQG equation
Philip Isett, Shi-Zhuo Looi
公開日: 2024/7/2
Abstract
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.