On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic Fluids

This paper is devoted to the analysis of stochastic equations describing the motions of a large class of incompressible linear viscoelastic fluids in two-dimensional subject to periodic boundary condition and driven by random external forces. To do so we distinguish two cases, and for each case a gl...

Full description

Saved in:
Bibliographic Details
Published inJournal of inequalities and applications Vol. 2010; no. 1; p. 932053
Main Author Razafimandimby, PA
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.01.2010
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Computational fluid dynamics
Fluid flow
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Research Article
Stochasticity
Turbulence
Turbulent flow
Viscoelastic fluids
Stochastic Partial Differential Equation
Stochastic Equation
Maxwell Fluid
Martingale Inequality
Standard Wiener Process
Online AccessGet full text
ISSN1029-242X
1025-5834
1029-242X
DOI10.1155/2010/932053

Cover

More Information
Summary:This paper is devoted to the analysis of stochastic equations describing the motions of a large class of incompressible linear viscoelastic fluids in two-dimensional subject to periodic boundary condition and driven by random external forces. To do so we distinguish two cases, and for each case a global existence result of probabilistic weak solution is expounded in this paper. We also prove that under suitable hypotheses on the external random forces the solution turns out to be unique. As concrete examples, we consider the stochastic equations for the Maxwell and Oldroyd fluids that are of great importance in the investigation towards the understanding of the elastic turbulence.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1155/2010/932053