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Global existence of the two-dimensional QGE with sub-critical dissipation
Journal article   Open access  Peer reviewed

Global existence of the two-dimensional QGE with sub-critical dissipation

Jamel Benameur and Moez Benhamed
Journal of mathematical analysis and applications, Vol.423(2), pp.1330-1347
15/03/2015
DOI: https://doi.org/10.1016/j.jmaa.2014.10.066

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study the sub-critical dissipative quasi-geostrophic equations (S-alpha). We prove that there exists a unique local-in-time solution for any large initial data theta(0) in the space chi(1-2 alpha) (R-2) defined by (1). Moreover, we show that (S-alpha) has a global solution in time if the norms of the initial data in chi(1-2 alpha)(R-2) are bounded by 1/4. Also, we prove a blow-up criterion of the local-in-time solution of (S-alpha). (C) 2014 The Authors. Published by Elsevier Inc.
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https://doi.org/10.1016/j.jmaa.2014.10.066View
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