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arXiv · 2407.02578

A proof of Onsager's Conjecture for the SQG equation

Philip Isett·Shi-Zhuo Looi
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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.

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Philip Isett, Shi-Zhuo Looi. 2024-07-02. A proof of Onsager's Conjecture for the SQG equation. https://arxiv.org/abs/2407.02578

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