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Asymptotic behaviour of the solutions to the 2D dissipative quasi-geostrophic flows
Journal article   Peer reviewed

Asymptotic behaviour of the solutions to the 2D dissipative quasi-geostrophic flows

Yong Zhou
Nonlinearity, Vol.21(9), pp.2061-2071
01/09/2008
DOI: https://doi.org/10.1088/0951-7715/21/9/008

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
In this paper we derive a decay rate of the L(2)-norm of the solution to the 2D dissipative quasi-geostrophic flows compared with the corresponding linear equation. Here, we establish a new, concise and direct method, which only relies on a rough decay estimate of parallel to del theta(t)parallel to(2)(L) and avoids using the Fourier splitting technique completely.

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