Abstract
Abstract
In this paper, we will establish the global existence of a suitable weak solution to the Erickson–Leslie system modelling hydrodynamics of nematic liquid crystal flows with kinematic transports for molecules of various shapes in
R
3
, which is smooth away from a closed set of (parabolic) Hausdorff dimension at most
15
7
.
Funder
National Science Foundation
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics