Global well-posedness for the stochastic non-Newtonian fluid equations and convergence to the Navier-Stokes equations

被引：0

作者：

Henandez, Marco ^{[1
]}

Phuong Nguyen ^{[2
,3
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

[2] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA

[3] Sam Houston State Univ, Dept Math & Stat, Huntsville, TX 77340 USA

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 02期

关键词：

martingale solution; pathwise solution; stochastic partial differential equations; MARTINGALE;

D O I：

10.1002/mma.6827

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of global pathwise solutions for the stochastic non-Newtonian incompressible fluid equations in two space dimensions. Moreover, we show that said solutions converge in probability to solutions of the stochastic Navier-Stokes equations in the appropriate limit. Our approach is based on Galerkin approximations and the theory of martingale solutions.

引用

页码：1252 / 1284

页数：33

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