A proof of Onsager's Conjecture for the SQG equation
Analysis of PDEs
2025-09-04 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2407.02578,
title = {A proof of Onsager's Conjecture for the SQG equation},
author = {Philip Isett and Shi-Zhuo Looi},
journal= {arXiv preprint arXiv:2407.02578},
year = {2025}
}
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54 pages