Solution Properties of a 3D Stochastic Euler Fluid Equation

被引：65

作者：

Crisan, Dan ^{[1
]}

Flandoli, Franco ^{[2
]}

Holm, Darryl D. ^{[1
]}

机构：

[1] Imperial Coll, Dept Math, London SW7 2AZ, England

[2] Univ Pisa, Dept Appl Math, Via Bonanno 25B, I-56126 Pisa, Italy

来源：

JOURNAL OF NONLINEAR SCIENCE | 2019年 / 29卷 / 03期

基金：

英国工程与自然科学研究理事会; 欧洲研究理事会;

关键词：

Analytical properties; Stochastic fluid equations; Lie derivative estimates; MODELS;

D O I：

10.1007/s00332-018-9506-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove local well-posedness in regular spaces and a Beale-Kato-Majda blow-up criterion for a recently derived stochastic model of the 3D Euler fluid equation for incompressible flow. This model describes incompressible fluid motions whose Lagrangian particle paths follow a stochastic process with cylindrical noise and also satisfy Newton's second law in every Lagrangian domain.

引用

页码：813 / 870

页数：58

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