Abstract
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.
Citation
Yutaka Terasawa. Nobuo Yoshida. "Stochastic power law fluids: Existence and uniqueness of weak solutions." Ann. Appl. Probab. 21 (5) 1827 - 1859, October 2011. https://doi.org/10.1214/10-AAP741
Information