Stochastic Navier-Stokes Equations in Unbounded Channel Domains

被引：1

作者：

Manna, Utpal ^{[1
]}

Mohan, Manil T. ^{[1
]}

Sritharan, Sivaguru S. ^{[2
]}

机构：

[1] IISER Thiruvananthapuram, Sch Math, Thiruvananthapuram 695016, Kerala, India

[2] US Navy, Postgrad Sch, Monterey, CA USA

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2015年 / 17卷 / 01期

关键词：

Stochastic Navier-Stokes equations; viscous flow in channels; path-wise strong solutions; VISCOUS-FLUID; EXISTENCE; DRIVEN; SOLVABILITY; MARTINGALE; REGULARITY; BOUNDARY; PROOF;

D O I：

10.1007/s00021-014-0189-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence and uniqueness of path-wise strong solution to stochastic viscous flow in unbounded channels with multiple outlets using local monotonicity arguments. We devise a construction for solvability using a stochastic basic vector field.

引用

页码：47 / 86

页数：40

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