Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise
Abstract
In this paper, we prove the existence of a unique maximal local strong solutions to a stochastic system for both 2D and 3D penalised nematic liquid crystals driven by multiplicative Gaussian noise. In the 2D case, we show that this solution is global.As a by-product of our investigation, but of independent interest, we present a general method based on fixed point arguments to establish the existence and uniqueness of a maximal local solution of an abstract stochastic evolution equations with coefficients satisfying local Lipschitz condition involving the norms of two different Banach spaces.
Keywords
Cite
@article{arxiv.2004.00590,
title = {Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise},
author = {Zdzislaw Brzezniak and Erika Hausenblas and Paul Razafimandimby},
journal= {arXiv preprint arXiv:2004.00590},
year = {2020}
}
Comments
arXiv:1310.8641 has been divided into two parts, this submission is its second part (The first part is published here: https://link.springer.com/article/10.1007/s40072-018-0131-z)