Stochastic power law fluids: Existence and uniqueness of weak solutions

Yutaka Terasawa; Nobuo Yoshida

doi:10.1214/10-aap741

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arXiv · 1002.1431

Stochastic power law fluids: Existence and uniqueness of weak solutions

Yutaka Terasawa·Nobuo Yoshida

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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.

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Yutaka Terasawa, Nobuo Yoshida. 2010-02-07. Stochastic power law fluids: Existence and uniqueness of weak solutions. https://doi.org/10.1214/10-aap741

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