On stochastic evolution equations for nonlinear bipolar fluids: well-posedness and some properties of the solution

Erika Hausenblas; Paul Andre Razafimandimby

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arXiv · 1206.1172

On stochastic evolution equations for nonlinear bipolar fluids: well-posedness and some properties of the solution

Erika Hausenblas·Paul Andre Razafimandimby

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Abstract

We investigate the stochastic evolution equations describing the motion of a Non-Newtonian fluids excited by multiplicative noise of Lévy type. By making use of Galerkin approximation we can prove that the system has a global (probabilistic) strong solution. This solution is unique and we also prove that the sequence of Galerkin solution converges to this unique solution in mean square.

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Erika Hausenblas, Paul Andre Razafimandimby. 2014-05-14. On stochastic evolution equations for nonlinear bipolar fluids: well-posedness and some properties of the solution. https://arxiv.org/abs/1206.1172

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