输运系数依赖于温度的可压缩微极流体解的整体存在性和渐近性OA

The well-posedness of solutions for compressible micropolar fluid under the assumptions of small initial data is analyzed.The uniform upper and lower bounds of the density and the temperature function are proved by using energy estimates and various interpolation inequalities when the viscosity coefficient and the thermal conductivity coefficient are dependent on the temperature.Furthermore,the global existence and the asymptotic behavior of solutions are obtained.