Stochastic power law fluids: Existence and uniqueness of weak solutions

We consider a stochastic partial differential equation (SPDE) which describes the velocity field of a viscous, incompressible non-Newtonian fluid subject to a random force. Here the extra stress tensor of the fluid is given by a polynomial of degree \(p-1\) of the rate of strain tensor, while the co...

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Bibliographic Details
Published inarXiv.org
Main Authors Terasawa, Yutaka, Yoshida, Nobuo
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 04.01.2012
Subjects
Fluid dynamics
Fluid flow
Incompressible flow
Mathematical analysis
Mathematics - Probability
Newtonian fluids
Non Newtonian fluids
Partial differential equations
Polynomials
Tensors
Uniqueness
Velocity distribution
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ISSN2331-8422
DOI10.48550/arxiv.1002.1431

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Summary:We consider a stochastic partial differential equation (SPDE) which describes the velocity field of a viscous, incompressible non-Newtonian fluid subject to a random force. Here the extra stress tensor of the fluid is given by a polynomial of degree \(p-1\) of the rate of strain tensor, while the colored noise is considered as a random force. We investigate the existence and the uniqueness of weak solutions to this SPDE.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
IMS-AAP-AAP741
ISSN:2331-8422
DOI:10.48550/arxiv.1002.1431