Exponential Stability Of The Quasigeostrophic Equation Under Random Perturbations

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dc.creatorDuan, Jinqiao
dc.creatorKloeden, Peter E.
dc.creatorSchmalfuss, Bjorn
dc.date2004-09-13
dc.date.accessioned2026-07-07T05:12:05Z
dc.date.available2026-07-07T05:12:05Z
dc.descriptionhe quasigeostrophic model describes large scale and relatively slow fluid motion in geophysical flows. We investigate the quasigeostrophic model under random forcing and random boundary conditions. We first transform the model into a partial differential equation with random coefficients. Then we show that, under suitable conditions on the random forcing, random boundary conditions, viscosity, Ekman constant and Coriolis parameter, all quasigeostrophic motion approach a unique stationary state exponentially fast. This stationary state corresponds to a unique invariant Dirac measure
dc.identifierhttps://arxiv.org/abs/math/0409212
dc.identifierhttp://arxiv.org/abs/math/0409212
dc.identifierProgress in Probability {49}(2001), 241-256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72458
dc.subjectAnalysis of PDEs
dc.subjectDynamical Systems
dc.subjectPrimary 60H25, 47H10; Secondary 34D35
dc.titleExponential Stability Of The Quasigeostrophic Equation Under Random Perturbations
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