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• W2247029508 abstract "We prove stability for arbitrarily long times of the zero solution for the so-called $beta$-plane equation, which describes the motion of a two-dimensional inviscid, ideal fluid under the influence of the Coriolis effect. The Coriolis force introduces a linear dispersive operator into the 2d incompressible Euler equations, thus making this problem amenable to an analysis from the point of view of nonlinear dispersive equations. The dispersive operator, $L_1:=frac{partial_1}{|nabla|^2}$, exhibits good decay, but has numerous unfavorable properties, chief among which are its anisotropy and its behavior at small frequencies." @default.
• W2247029508 created "2016-06-24" @default.
• W2247029508 creator A5028453038 @default.
• W2247029508 creator A5090113515 @default.
• W2247029508 date "2015-09-17" @default.
• W2247029508 modified "2023-09-27" @default.
• W2247029508 title "Long Time Stability for Solutions of a Beta-Plane Equation" @default.
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