On unique solvability of the full three-dimensional Ericksen–Leslie system
Gregory Aleksandrovich Chechkin, Tudor Stefan Ratiu, Maxim Sergeevich Romanov, Вячеслав Николаевич Самохин · Comptes Rendus Mécanique · 2016
In this paper, we study the full three-dimensional Ericksen–Leslie system of equations for the nematodynamics of liquid crystals. We announce the short-time existence and uniqueness of strong solutions for the initial value problem in the periodic case and in a bounded domain with Dirichlet- and Neumann-type boundary conditions.