带有反应项的可压缩微极实际气体模型解的指数稳定性

Exponential stability of solutions to the compressible viscous and reactive micropolar real gas model

研究了齐次边界条件下一维粘性带有反应项的可压缩微极实际气体模型解的大时间行为.假定任意初始值(密度不含真空),利用能量估计和各种精细的插值不等式证明密度函数和温度函数的一致上下界,进而证明了解的整体存在性和指数稳定性.

The large-time behavior of solutions to the one-dimensional compressible viscous and reactive micropolar real gas model with homogeneous boundary conditions is studied.Based on the assumption that any initial value(mass density without vacuum),the uniform upper and lower bounds of the density and the temperature function are proved by using energy estimate method and delicate interpolation inequality,and then the global existence and exponential stability of solutions are obtained.