摘要
在一维有界区间上考虑一类可压缩非Newton流体方程,在外力项相对较小的情形下,采用假设封闭、加权及能量估计的技巧得到先验估计,证明整体强解的存在唯一性,并给出解的长时间性态.
We considered a class of compressible non-Newtonian fluid equations in one-dimensional bounded interval. Under the conditions that the external force term was relatively small, a priori estimates were given by the method of hypothesis closure, weighting and energy estimates. We proved the existence and uniqueness of the global strong solutions and gave the long time behavior of the solution.
作者
徐建军
袁洪君
XU Jianjun;YUAN Hongjun(College of Mathematics,Jilin University,Changchun 130012,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2020年第3期449-456,共8页
Journal of Jilin University:Science Edition
关键词
非Newton流
强解
先验估计
长时间性态
non-Newtonian fluid
strong solution
a priori estimate
long time behavior
作者简介
第一作者:徐建军(1996-),男,汉族,硕士研究生,从事偏微分方程的研究,E-mail:17764593949@163.com;通信作者:袁洪君(1966-),男,汉族,博士,教授,博士生导师,从事偏微分方程的研究,E-mail:hjy@jlu.edu.cn.
