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

Jamel Benameur and Mongi Blel

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We study the behavior at infinity in time of any global solution θ∈𝒞(ℝ+,H.22-α(ℝ2)) of the surface quasigeostrophic equation with subcritical exponent 2/3 ≤ α ≤ 1. We prove that lim t→∞∥θ(t)∥H.22-α=0. Moreover, we prove also the nonhomogeneous version of the previous result, and we prove that if θ∈𝒞(ℝ+,H.22-α(ℝ2)) is a global solution, then lim t→∞∥θ(t)∥H22-α=0.

Date: 2012
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https://doi.org/10.1155/2012/627813

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:627813

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