Global Existence of Axisymmetric Pathwise Solutions for Stochastic Three-Dimensional Axisymmetric Navier-Stokes Equations

被引：1

作者：

Du, Lihuai ^{[1
]}

Zhang, Ting ^{[1
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

来源：

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2019年 / 9卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Stochastic Navier-Stokes equations; axisymmetric; global existence; AXIALLY-SYMMETRIC FLOWS; REGULARITY CRITERION; WEAK SOLUTIONS;

D O I：

10.4208/eajam.220418.210718

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A stochastic three-dimensional Navier-Stokes system with the axisymmetric initial data and white noise is studied. It is shown that if the swirl component of the initial velocity field and the white noise are sufficiently small, then the axisymmetric pathwise solution is global in probability. Moreover, in the absence of the swirl, the pathwise axisymmetric solution is global almost surely.

引用

页码：447 / 464

页数：18

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