long-time decay to the global solution of the 2d dissipative quasigeostrophic equation
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2012
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Abstract
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 limt→∞∥θ(t)∥Ḣ2-2α=0. Moreover, we prove also the nonhomogeneous version of the previous result, and we prove that if θ∈C(R+,Ḣ2-2α(R2)) is a global solution, then limt→∞∥θ(t)∥H2-2α=0.
| Reference Key |
benameur2012abstractlong-time
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|---|---|
| Authors | ;Jamel Benameur;Mongi Blel |
| Journal | science and technology of advanced materials |
| Year | 2012 |
| DOI |
10.1155/2012/627813
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| URL | |
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