On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier–Stokes equations-Reference-Cited by-同舟云学术

On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier–Stokes equations

Published:2005-12-06 Issue:2066 Volume:462 Page:459-479
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Caraballo Tomás¹,Real José¹,Taniguchi Takeshi²

Affiliation:

1. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de SevillaApartado de Correos 1160, 41080 Sevilla, Spain

2. Department of Mathematical Science, Graduate School of Comparative Culture, Kurume UniversityMiimachi, Kurume, Fukuoka 839-5392, Japan

Abstract

We prove the existence and uniqueness of solutions for a stochastic version of the three-dimensional Lagrangian averaged Navier–Stokes equation in a bounded domain. To this end, we previously prove some existence and uniqueness results for an abstract stochastic equation and justify that our model falls within this framework.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2005.1574

Reference15 articles.

1. Stochastic Navier-Stokes Equations

2. Equations stochastiques du type Navier-Stokes

3. Breckner (Lisei) H. 1999 Approximation and optimal control of the stochastic Navier–Stokes equation . Dissertation Martin-Luther University Halle-Wittenberg.

4. COMPARISON OF THE LONG-TIME BEHAVIOR OF LINEAR ITO AND STRATONOVICH PARTIAL DIFFERENTIAL EQUATIONS

5. Global well-posedness of weak solutions for the Lagrangian averaged Navier–Stokes equations on bounded domains;Coutand D;Commun. Pure Appl. Anal,2002

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