Affiliation:
1. Faculty of Science Kunming University of Science and Technology Kunming China
2. Department of Mathematics, Institute for Nonlinear Sciences Donghua University Shanghai China
Abstract
In this paper, we consider the strong solutions under three different types of boundary problems to a compressible nematic liquid crystals system in three dimensions. We establish the blow‐up criterion in terms of the density and the gradient of direction field, provided the shear viscosity and bulk viscosity coefficients of the fluid satisfy an additional relation (i.e.,
). In particular, the initial vacuum is allowed.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics