Globe strong solutions to the 1-D non-isothermal compressible liquid crystal equations accounting for stretching term

Abstract We consider the initial-boundary value problem of compressible non-isothermal liquid crystal flow in dimension one.The resulting system of equations contains the essential features of the physically relevant model,in particular taking into account the stretching effects of the directed field,and heat conductivity coefficients is temperature dependent. In this paper,we establish the existence of a strong solution of such a system when the initial density away from vacuum. MSC Classification: 35D35 , 34D40 , 37N10 , 76N99 , 76A15