On strong solution to the 2D stochastic Ericksen-Leslie system: A Ginzburg-Landau approximation approach
Probability
2020-11-03 v1 Analysis of PDEs
Abstract
In this manuscript, we consider a highly nonlinear and constrained stochastic PDEs modelling the dynamics of 2-dimensional nematic liquid crystals under random perturbation. This system of SPDEs is also known as the stochastic Ericksen-Leslie equations (SELEs). We discuss the existence of local strong solution to the stochastic Ericksen-Leslie equations. In particular, we study the convergence the stochastic Ginzburg-Landau approximation of SELEs, and prove that the SELEs with initial data in has at least a martingale, local solution which is strong in PDEs sense.
Keywords
Cite
@article{arxiv.2011.00100,
title = {On strong solution to the 2D stochastic Ericksen-Leslie system: A Ginzburg-Landau approximation approach},
author = {Zdzislaw Brzezniak and Gabriel Deugoue and Paul Andre Razafimandimby},
journal= {arXiv preprint arXiv:2011.00100},
year = {2020}
}