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Article Contents

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

• 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.
Mathematics Subject Classification: Primary: 35Q35; Secondary: 76D05.

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