三维随机欧拉方程的欧拉-拉格朗日方法

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Journal of Geometric Mechanics Pub Date : 2018-03-14 DOI:10.3934/JGM.2019008

F. Flandoli, Dejun Luo

引用次数: 15

摘要

考虑了具有特殊形式的乘性噪声的三维随机欧拉方程。基于随机特性，给出了欧拉-拉格朗日形式的Constantin-Iyer型表示。从欧拉-拉格朗日公式出发，证明了适当的Hoelder空间中解的局部存在唯一性。

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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Euler-Lagrangian approach to 3D stochastic Euler equations

3D stochastic Euler equations with a special form of multiplicative noise are considered. A Constantin-Iyer type representation in Euler-Lagrangian form is given, based on stochastic characteristics. Local existence and uniqueness of solutions in suitable Hoelder spaces is proved from the Euler-Lagrangian formulation.

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来源期刊

Journal of Geometric Mechanics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Geometric Mechanics (JGM) aims to publish research articles devoted to geometric methods (in a broad sense) in mechanics and control theory, and intends to facilitate interaction between theory and applications. Advances in the following topics are welcomed by the journal: 1. Lagrangian and Hamiltonian mechanics 2. Symplectic and Poisson geometry and their applications to mechanics 3. Geometric and optimal control theory 4. Geometric and variational integration 5. Geometry of stochastic systems 6. Geometric methods in dynamical systems 7. Continuum mechanics 8. Classical field theory 9. Fluid mechanics 10. Infinite-dimensional dynamical systems 11. Quantum mechanics and quantum information theory 12. Applications in physics, technology, engineering and the biological sciences.