On the Global Solutions of the Super-critical 2d Quasi-geostrophic Equation in Besov Spaces
نویسنده
چکیده
In this paper we study the super-critical 2D dissipative quasi-geostrophic equation. We obtain some regularization effects allowing us to prove global well-posedness result for small initial data lying in critical Besov spaces constructed over Lebesgue spaces L, with p ∈ [1,∞]. Local results for arbitrary initial data are also given.
منابع مشابه
Existence and uniqueness results for the 2-D dissipative quasi-geostrophic equation
This paper concerns itself with Besov space solutions of the 2-D quasi-geostrophic (QG) equation with dissipation induced by a fractional Laplacian (−1)α . The goal is threefold: first, to extend a previous result on solutions in the inhomogeneous Besov space Br 2,q [J. Wu, Global solutions of the 2D dissipative quasi-geostrophic equation in Besov spaces, SIAM J. Math. Anal. 36 (2004–2005) 1014...
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Article history: Received 5 October 2007 Revised 6 February 2010 Available online 26 February 2010
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