Mathematical Finance and Stochastic Analysis seminar: Local strong solution to the 2D stochastic Ericksen-Leslie equations: a Ginzburg-Landau approximation approach
In this talk I would discuss about the local strong solution to stochastic Ericksen-Leslie equations (SELEs) modelling the dynamics of nematic liquid crystals under stochastic perturbation. Using a Ginzburg-Landau approximation we prove that the SELEs with initial data in $H^1\times H^2$ has at least a local strong solution. This is a joint work, still in progress, with Z. Brze'zniak and G. Deugou'e.
P.S. Joint with East Midlands Stochastic Analysis Seminarsponsored by the London Mathematical Society