Open Access
October 2011 Stochastic power law fluids: Existence and uniqueness of weak solutions
Yutaka Terasawa, Nobuo Yoshida
Ann. Appl. Probab. 21(5): 1827-1859 (October 2011). DOI: 10.1214/10-AAP741


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.


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Yutaka Terasawa. Nobuo Yoshida. "Stochastic power law fluids: Existence and uniqueness of weak solutions." Ann. Appl. Probab. 21 (5) 1827 - 1859, October 2011.


Published: October 2011
First available in Project Euclid: 25 October 2011

zbMATH: 1230.60068
MathSciNet: MR2884052
Digital Object Identifier: 10.1214/10-AAP741

Primary: 60H15
Secondary: 76A05 , 76D05

Keywords: power law fluids , Stochastic partial differential equation

Rights: Copyright © 2011 Institute of Mathematical Statistics

Vol.21 • No. 5 • October 2011
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