arXiv subjects

Lanming Liu

Publications and source records attributed to Lanming Liu.

2 recordsLinked to original sources

arXiv2011

Existence of strong solutions for the compressible Ericksen-Leslie model

In this paper, we prove the existence and uniqueness of local strong solutions of the hydrodynamics of nematic liquid crystals system under the initial data satisfying a natural compatibility condition. Also the global strong solutions of the system with small initial data are obtained.

math.FA↗

arXiv2010

A blow-up criterion for the compressible liquid crystals system

In this paper, we establish a blow-up criterion for the compressible liquid crystals equations in terms of the gradient of the velocity only, similar to the Beale-Kato-Majda criterion \cite{majda} for ideal incompressible flows and the criterion obtained by Huang and Xin \cite{xin2} for the compressible Navier-Stokes equations.

math-ph↗