Affiliation:
1. School of Mathematical Sciences Jiangsu University Zhenjiang China
2. School of Finance Shanghai Lixin University of Accounting and Finance| School of Mathematical Sciences, Shanghai Jiao Tong University Shanghai China
Abstract
The initial‐boundary value problem (IBVP) for one‐dimensional hydrodynamics equations of compressible nematic liquid crystal material is investigated in this research. With large initial data and vacuum,
‐independent global strong solution is established. Furthermore, for the elastic limit parameter
, the vanishing elastic limit is justified by convergence rates in
. The obtain results are based on full use of effective viscous flux, the structure of the equations, and the material derivative.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics