可压缩非牛顿流体力学方程组若干问题的研究  

Research on some mathematical problems of compressible non-Newtonian ?uid

作　　者：郭真华 方莉 刘进静 Guo Zhenhua;Fang Li;Liu Jinjing(School of Mathematics,Northwest University,Xi′an 710127,China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《纯粹数学与应用数学》2019年第1期1-14,共14页Pure and Applied Mathematics

基　　金：国家自然科学基金(11331005;11671139;11501445;11801444)

摘　　要：首先从可压缩非牛顿流体力学方程组研究的历史背景出发,以可压缩非牛顿流体力学方程组适定性研究为主线,通过介绍作者所在团队最近的相关工作,系统讲述了可压缩非牛顿流体力学方程组若干问题研究的新进展.Firstly,the historical background of the study on compressible non-Newtonian fluid equations are introduced.Secondly,the well-posedness of solutions to compressible non-Newtonian fluid equations is taken as the main line to introduce the recent work of the author′s team.Thus,the new progress in the research of some basic mathematical problems of compressible non-Newtonian fluid equations is systematically expounded.

关 键 词：可压缩非牛顿流 NAVIER-STOKES方程组 存在性 唯一性 稳定性 

分 类 号：O175.1[理学—数学]