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arxiv: 1806.03734 · v1 · pith:WSEFF6URnew · submitted 2018-06-10 · 🧮 math.AP

The Surface Quasi-Geostrophic Equation with Random Diffusion

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keywords diffusionequationquasi-geostrophicrandomsurfacearticleassociatedbound
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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. This article is inspired by recent work of Glatt-Holtz and Vicol.

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