Dissipative Quasigeostrophic Dynamics under Random Forcing

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dc.creatorBrannan, James R.
dc.creatorDuan, Jinqiao
dc.creatorWanner, Thomas
dc.date1998-05-25
dc.date.accessioned2026-07-07T05:24:50Z
dc.date.available2026-07-07T05:24:50Z
dc.descriptionThe quasigeostrophic model is a simplified geophysical fluid model at asymptotically high rotation rate or at small Rossby number. We consider the quasigeostrophic equation with dissipation under random forcing in bounded domains. We show that global unique solutions exist for appropriate initial data. Unlike the deterministic quasigeostrophic equation whose well-posedness is well-known, there seems no rigorous result on global existence and uniqueness of the randomly forced quasigeostrophic equation. Our work provides such a rigorous result on global existence and uniqueness, under very mild conditions.
dc.descriptionLaTeX, 15 pages
dc.identifierhttps://arxiv.org/abs/math/9805113
dc.identifierhttp://arxiv.org/abs/math/9805113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76962
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.subject35Q35, 58F39, 76U05
dc.titleDissipative Quasigeostrophic Dynamics under Random Forcing
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