# American Institute of Mathematical Sciences

July  2006, 14(3): 525-532. doi: 10.3934/dcds.2006.14.525

## Decay rate of higher order derivatives for solutions to the 2-D dissipative quasi-geostrophic flows

 1 Department of Mathematics, East China Normal University, Shanghai 200062

Received  October 2004 Revised  May 2005 Published  December 2005

In this paper we derive a decay rate of higher order derivatives for solutions to the 2-D dissipative quasi-geostrophic flows under the condition that the $L^2$-norm itself decays. Moreover, under an additional assumption that the solution stays sufficiently close to that of the corresponding linear equation, then both lower bounds and upper bounds on the decay of higher derivatives are obtained.
Citation: Yong Zhou. Decay rate of higher order derivatives for solutions to the 2-D dissipative quasi-geostrophic flows. Discrete & Continuous Dynamical Systems, 2006, 14 (3) : 525-532. doi: 10.3934/dcds.2006.14.525
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