arXiv:1705.05342 Abstract | arXiv Analytics

arXiv:1705.05342 [math.AP]Abstract References Reviews Resources

Local and global strong solutions for SQG in bounded domains

Published 2017-05-15Version 1

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.

Categories: math.AP

Subjects: 35Q35, 35Q86

Keywords: global strong solutions, bounded domains, fractional dirichlet laplacian dissipation, global existence, inviscid surface quasigeostrophic

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