STOCHASTIC POWER LAW FLUIDS: EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS
成果类型：
Article
署名作者：
Terasawa, Yutaka; Yoshida, Nobuo
署名单位：
University of Tokyo; Kyoto University
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/10-AAP741
发表日期：
2011
页码：
1827-1859
关键词：
摘要：
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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