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The Surface Quasi-geostrophic Equation With Random Diffusion

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Consider the surface quasi-geostrophic equation with random diffusion, white in time. We show global existence and uniqueness in high probability for the associated Cauchy problem satisfying a Gevrey type bound.… Click to show full abstract

Consider the surface quasi-geostrophic equation with random diffusion, white in time. We show global existence and uniqueness in high probability for the associated Cauchy problem satisfying a Gevrey type bound. This article is inspired by a recent work of Glatt-Holtz and Vicol [16].

Keywords: geostrophic equation; equation random; surface quasi; random diffusion; quasi geostrophic

Journal Title: International Mathematics Research Notices
Year Published: 2018

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