Local Regularity For A 1D Compressible Viscous Micropolar Fluid Model With Non-homogeneous Temperature Boundary

Compressible viscous micropolar fluid model is used to research polar fluids,such as blood,liquid crystals and so on.It describes the movement of the micro-rotational and the micro-rotational inertia of fluid elements.The solutions of the model would have different properties for different boundary conditions.In this paper,we discuss mainly about the regularity of the local solutions for a 1D compressible viscous microp-olar fluid model with non-homogeneous temperature boundary.In fact,on the base of the conclusion about the local existence of Hl solutions in[1],via delicate inequalities estimates,we have proved the local existence of Hi(i = 2,4)solutions.