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Local and global strong solutions for SQG in bounded domains

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arxiv 1705.05342 v1 pith:4C6X3MZ2 submitted 2017-05-15 math.AP

Peter Constantin , Huy Quang Nguyen This is my paper · ORCID
classification math.AP
keywords globalsolutionsstrongboundedcasesdatadomainsexistence
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abstract

We prove local well-posedness for the inviscid surface quasigeostrophic (SQG) equation in bounded domains of $\mathbb{R}^2$. When fractional Dirichlet Laplacian dissipation is added, global existence of strong solutions is obtained for small data for critical and supercritical cases. Global existence of strong solutions with arbitrary data is obtained in the subcritical cases.

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