The Large Deviation Principle for the Stochastic 3D Primitive Equations with Transport Noise

IF 1.5 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2026-09-26 DOI:10.1007/s00021-026-01048-z

Antonio Agresti, Esmée Theewis

引用次数: 0

Abstract

We prove the small-noise large deviation principle for the three-dimensional primitive equations with transport noise and turbulent pressure. Transport noise is important for geophysical fluid dynamics applications, as it takes into account the effect of small scales on the large scale dynamics. The main mathematical challenge is that we allow for the transport noise to act on the full horizontal velocity, therefore leading to a non-trivial turbulent pressure, which requires an involved analysis to obtain the necessary energy bounds. Both Stratonovich and Itô noise are treated.

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含输运噪声的三维随机原始方程的大偏差原理

证明了具有输运噪声和湍流压力的三维原始方程的小噪声大偏差原理。输运噪声对于地球物理流体动力学的应用非常重要，因为它考虑了小尺度对大尺度动力学的影响。主要的数学挑战是，我们允许传输噪声作用于整个水平速度，因此导致一个非平凡的湍流压力，这需要一个复杂的分析来获得必要的能量界限。Stratonovich和Itô噪声都得到了处理。

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

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.