Unique Strong Solutions and V -Attractors of a Three Dimensional System of Globally Modified Navier-Stokes Equations-Reference-Cited by-同舟云学术

Unique Strong Solutions and V -Attractors of a Three Dimensional System of Globally Modified Navier-Stokes Equations

Published:2006-08-01 Issue:3 Volume:6 Page:411-436
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Caraballo Tomás¹,Real José¹,Kloeden Peter E.²

Affiliation:

1. Departamento de Ecuaciones Diferenciales y Análisis Numérico Universidad de Sevilla, Apdo. de Correos 1160 41080-Sevilla (Spain)

2. Institut fur Mathematik Johann Wolfgang Goethe-Universität D-60054 Frankfurt am Main, Germany

Abstract

Abstract We prove the existence and uniqueness of strong solutions of a three dimensional system of globally modified Navier-Stokes equations. The flattening property is used to establish the existence of global V -attractors and a limiting argument is then used to obtain the existence of bounded entire weak solutions of the three dimensional Navier-Stokes equations with time independent forcing.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2006-0304/pdf

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2. Navier Stokes equations Chicago Lectures in Mathematics versity of Chicago Press Chicago;Constantin;Uni,1988

3. Ergodicity of the Stokes Equation under ran - dom perturbations;Flandoli;Math Phys,1995

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