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Global well-posedness and blow-up criterion for the periodic quasi-geostrophic equations in Lei-Lin-Gevrey spaces

Author name : Moez Benhamed
Publication Date : 2017-08-18
Journal Name : Mathematical Methods in Applied sciences

Abstract

In this paper, we consider a periodic 2-dimensional quasi-geostrophic equation with subcritical dissipation. We show the global existence and uniqueness of the solution mathematical equation for small initial data in the Lei-Lin-Gevrey spaces mathematical equation. Moreover, we establish an exponential-type explosion in finite time of this solution.

Keywords

Global existence, Lei-Lin-Gevrey spaces, subcritical case, surface quasi-geostrophic equations

Publication Link

https://onlinelibrary.wiley.com/doi/10.1002/mma.4543

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