On the conservation laws and the structure of the nonlinearity for SQG and its generalizations

• Published in: arXiv.org
• Main Authors: Isett, Philip, Ma, Andrew
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 13.03.2024
• Subjects: Angular momentum; Conservation laws; Nonlinearity

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 solutions of [Resnick, '95] and rules out the possibility of anomalous dissipation of angular momentum. We also prove con...