The primitive equations with stochastic wind driven boundary conditions

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-02-01 DOI:10.1016/j.matpur.2024.01.001

Tim Binz , Matthias Hieber , Amru Hussein , Martin Saal

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引用次数: 0

Abstract

The primitive equations for geophysical flows are studied under the influence of stochastic wind driven boundary conditions modeled by a cylindrical Wiener process. We adapt an approach by Da Prato and Zabczyk for stochastic boundary value problems to define a notion of solutions. Then a rigorous treatment of these stochastic boundary conditions, which combines stochastic and deterministic methods, yields that these equations admit a unique, local pathwise solution within the anisotropic $L_{t}^{q}$ - $H_{z}^{- 1, p} L_{x y}^{p}$ -setting. This solution is constructed in critical spaces.

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带有随机风驱动边界条件的原始方程

在以圆柱维纳过程为模型的随机风驱动边界条件的影响下，研究了地球物理流的原始方程。我们采用 Da Prato 和 Zabczyk 针对随机边界值问题提出的方法来定义解的概念。然后，结合随机和确定性方法，对这些随机边界条件进行严格处理，得出这些方程在各向异性的 Ltq-Hz-1,pLxyp 设定内有一个唯一的局部路径解。这个解是在临界空间中构建的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464