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math.AP2024★ 2 cited
A proof of Onsager's Conjecture for the SQG equation
Philip Isett, Shi-Zhuo Looi, Sam Looi
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 gen…
math.AP2024★ 1 cited
On the conservation laws and the structure of the nonlinearity for SQG and its generalizations
Philip Isett, Andrew Ma
Using a new definition for the nonlinear term, we prove that all weak solutions to the SQG equation (and mSQG) conserve the angular momentum. This result is new for the weak soluti…