Long-Time Decay to the Global Solution of the 2D Dissipative Quasigeostrophic Equation

We study the behavior at infinity in time of any global solution θ∈C(R+,Ḣ2-2α(R2)) of the surface quasigeostrophic equation with subcritical exponent 2/3≤α≤1. We prove that lim⁡t→∞∥θ(t)∥Ḣ2-2α=0. Moreover, we prove also the nonhomogeneous version of the previous result, and we prove that if θ∈C(R+,...

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Bibliographic Details

Published in:	Abstract and Applied Analysis
Main Authors:	Jamel Benameur, Mongi Blel
Format:	Article
Language:	English
Published:	Wiley 2012-01-01
Online Access:	http://dx.doi.org/10.1155/2012/627813