Existence and uniqueness theorems in two-dimensional nematodynamics. Finite speed of propagation (Q498209)

This short paper deals with the Ericksen-Leslie system of equations which describe liquid cristals. The authors focus more especially on the non-dissipative case. They prove an existence and uniqueness theorem for the solution of these equations in the case of two-dimensional periodic media as well as for the problem defined in a bounded domain of the plane. In addition, they get some results, in the form of inequalities, on the finite propagation velocity of waves in such media.