Article ID Journal Published Year Pages File Type
4616234 Journal of Mathematical Analysis and Applications 2014 12 Pages PDF
Abstract

The long time behavior of solutions of 2D quasi-geostrophic equations with damping on the whole space is studied. The existence of the global attractor in LpLp is proved. New difficulties come from nonlocal terms and the Banach space LpLp. We overcome them by using commutator estimates and positivity inequalities associated with fractional Laplacian.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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