The Surface Quasi-geostrophic Equation With Random Diffusion

Tristan Buckmaster, Andrea R. Nahmod, Gigliola Staffilani, Klaus Widmayer

Type: Article

Publication Date: 2018-10-15

Citations: 9

DOI: https://doi.org/10.1093/imrn/rny261

Abstract

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].

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International Mathematics Research Notices - View
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+	Existence and Regularity of Weak Solutions to the Quasi-Geostrophic Equations in the Spaces L p or $$\dot{H}^{-1/2}$$	2007	Fabien Marchand
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