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

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

Moez Benhamed
Mathematical methods in the applied sciences, Vol.40(18), pp.7488-7509
01/12/2017
DOI: https://doi.org/10.1002/mma.4543

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we consider a periodic 2-dimensional quasi-geostrophic equations with subcritical dissipation. We show the global existence and uniqueness of the solution theta is an element of C ([0, T], gamma(1-2 alpha)(a,sigma)(T-2)) for small initial data in the Lei-Lin-Gevrey spaces. gamma(1-2 alpha)(a,sigma)(T-2). Moreover, we establish an exponential type explosion in finite time of this solution.

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