On stochastic evolution equations for nonlinear bipolar fluids: well-posedness and some properties of the solution
Probability
2014-05-15 v7 Analysis of PDEs
Abstract
We investigate the stochastic evolution equations describing the motion of a Non-Newtonian fluids excited by multiplicative noise of L\'evy 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.
Keywords
Cite
@article{arxiv.1206.1172,
title = {On stochastic evolution equations for nonlinear bipolar fluids: well-posedness and some properties of the solution},
author = {Erika Hausenblas and Paul Andre Razafimandimby},
journal= {arXiv preprint arXiv:1206.1172},
year = {2014}
}
Comments
Minor corrections in Section 5, Submitted for publication since 2012