可压缩粘性p次微极流体解的渐近性  

Asymptotic Properties of Solutions for Compressible Viscous p-th Micropolar Fluid

作　　者：李冲冲 黄兰 LI Chong-chong;HUANG Lan(School of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046

出　　处：《兰州文理学院学报（自然科学版）》2023年第2期1-6,共6页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金项目(11501199)。

摘　　要：研究了带有粘性和热传导的一维可压缩p次微极流体模型解的大时间行为.该模型比Navier-Stokes方程更适合描述像悬浮液、动物血液、液晶等这种含有双极元素的多种复杂流体的运动.当系统满足一端边界固定,另一端满足远场边界条件时,假定初值不含真空,在任意大初值条件下,得到了密度函数和温度函数的一致上下界,进而证明了解的存在性以及渐近性.The large-time behavior of the solutions for one-dimensional compressible p-th micropolar fluid model with viscosity and heat conduction is investigated.This model is more suitable than the Navier-Stokes equation to describe the motion of various complex fluids containing bipolar elements,such as suspension,animal blood,liquid crystal and so on.When the system satisfies one end of the boundary is fixed and the other end satisfies the far-field boundary condition,it is assumed that the initial value does not contain vacuum,and under the condition of arbitrarily large initial value,the consistent upper and lower bounds of the density function and the temperature function are obtained.Finally,the existence and asymptotic properties of the solutions for one-dimensional compressible viscous p-th micropolar fluid are proved.

关 键 词：p次微极流体 无界区域 渐近性 存在性 

分 类 号：O175.28[理学—数学]