arXiv:2007.03078 Abstract | arXiv Analytics

arXiv:2007.03078 [math.AP]Abstract References Reviews Resources

A direct approach to nonuniqueness and failure of compactness for the SQG equation

Published 2020-07-06Version 1

We give an alternative proof of the nonuniqueness of weak solutions to the surface quasigeostrophic equation (SQG) first shown in [Buckmaster-Shkoller-Vicol, '16]. Our approach proceeds directly at the level of the scalar field. Furthermore, we prove that every smooth scalar field with compact support that conserves the integral can be realized as a weak limit of solutions to SQG.

Categories: math.AP

Keywords: sqg equation, direct approach, nonuniqueness, compactness, surface quasigeostrophic equation

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