Averaging Principle for Quasi-geostrophic Motions under Rapidly Oscillating Forcing
نویسندگان
چکیده
In this paper, the averaging principle for quasi-geostrophic motions with rapidly oscillating forcing is proved, both on nite but large time intervals and on the entire time axis. This includes comparison estimate, stability estimate, and convergence result between quasi-geostrophic motions and its averaged motions. Furthermore, the existence of almost periodic quasi-geostrophic motions and attractor convergence are also investigated.
منابع مشابه
Averaging Principle for Quasi - Geostrophic
In this paper, the averaging principle for quasi-geostrophic motions with rapidly oscillating forcing is proved, both on nite but large time intervals and on the entire time axis. This includes comparison estimate, stability estimate, and convergence result between quasi-geostrophic motions and its averaged motions. Furthermore, the existence of almost periodic quasi-geostrophic motions and att...
متن کاملDynamics of the Thermohaline Circulation under Wind Forcing
The ocean thermohaline circulation, also called meridional overturning circulation, is caused by water density contrasts. This circulation has large capacity of carrying heat around the globe and it thus affects the energy budget and further affects the climate. We consider a thermohaline circulation model in the meridional plane under external wind forcing. We show that, when there is no wind ...
متن کاملGlobal Regularity for the Critical Dispersive Dissipative Surface Quasi-geostrophic Equation
We consider surface quasi-geostrophic equation with dispersive forcing and critical dissipation. We prove global existence of smooth solutions given sufficiently smooth initial data. This is done using a maximum principle for the solutions involving conservation of a certain family of moduli of continuity.
متن کاملChaotic response of the 2D semi-geostrophic and 3D quasi-geostrophic equations to gentle periodic forcing
Symmetries and Hamiltonian structure are combined with Melnikov’s method to show a set of exact solutions to the 2D semi-geostrophic equations in an elliptical tank respond chaotically to gentle periodic forcing of the domain eccentricity (or of the potential vorticity, for that matter) which are sinusoidal in time with nearly any period. A similar approach confirms the chaotic response of the ...
متن کاملGlobal regularity for the supercritical dissipative quasi-geostrophic equation with large dispersive forcing
We consider the 2-dimensional quasi-geostrophic equation with supercritical dissipation and dispersive forcing in the whole space. When the dispersive amplitude parameter is large enough, we prove the global well-posedness of strong solution to the equation with large initial data. We also show the strong convergence result as the amplitude parameter goes to ∞. Both results rely on the Strichar...
متن کامل