The Surface Quasi-geostrophic Equation With Random Diffusion
The Surface Quasi-geostrophic Equation With Random Diffusion
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DOI：
10.1093/imrn/rny261
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发表时间：
2020-11-01
影响因子：
1
通讯作者：
Widmayer, Klaus
中科院分区：
文献类型：
--
作者：
Buckmaster, Tristan;Nahmod, Andrea;Widmayer, Klaus
考虑具有随机扩散的地面准地转方程，时间上为白色。我们证明了满足Gevrey型界的相关Cauchy问题的高概率全局存在唯一性。这篇文章的灵感来自Glatt-Holtz和Vicol最近的一项工作[16]。
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].