The Global Existence Of Strong Solutions To Compressible Liquid Crystal Equations With Large Initial Values ??and Vacuum

In this paper,we study the global existence of strong solutions for one-dimensional compressible liquid crystal systems with vacuum in the bounded region.In addition,we also obtain the blow up criteria for the strong solutions of the full compressible liquid crystal equations.In the first chapter,we briefly describe the research background,innovation and main results of this paper.In the second chapter,we prove the global existence of strong solutions for one-dimensional compressible liquid crystal equations in the presence of vacuum with the large initial value in the bounded region.By using the method of precise energy estimation and nonlinear functional analysis,we prove that there are strong solutions for liquid crystal equations.In the third chapter,we further study the blow up criteria of the strong solutions to the full compressible liquid crystal equations in the presence of vacuum in the bounded region.