4 papers
On strong solution to the 2D stochastic Ericksen-Leslie system: A Ginzburg-Landau approximation approach
Zdzislaw Brzezniak, Gabriel Deugoue, Paul Andre Razafimandimby
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 s…
On the 2D Ericksen-Leslie equations with anisotropic energy and external forces
Zdzislaw Brzezniak, Gabriel Deugoue, Paul Andre Razafimandimby
In this paper we consider the 2D Ericksen-Leslie equations which describes the hydrodynamics of nematic Liquid crystal with external body forces and anisotropic energy modeling the…
Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise
Zdzislaw Brzezniak, Erika Hausenblas, Paul Razafimandimby
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 multiplicativ…
A note on the Stochastic Ericksen-Leslie equations for nematic liquid crystals
Zdzislaw Brzezniak, Erika Hausenblas, Paul Razafimandimby
In this note we prove the existence and uniqueness of local maximal smooth solution of the stochastic simplified Ericksen-Leslie systems modelling the dynamics of nematic liquid cr…