Navier-Stokes方程与Euler方程的稳定性比较  

Comparison of Stability Between Navier-Stokes and Euler Equations

作　　者：施惟慧[1] 王曰朋[2] 沈春[3] 

机构地区：[1]上海大学数学系,上海200444 [2]上海市应用数学和力学研究所 [3]烟台师范学院数学与信息学院,山东烟台264025

出　　处：《应用数学和力学》2006年第9期1101-1107,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金"十五"(重大)研究计划资助项目(90411006)

摘　　要：比较了Navier-Stokes方程和Euler方程的稳定性;并以它们的典型初值问题为例,分析了Navier-Stokes方程和Euler方程稳定性不同的原因.The stabilities about Navier-Stokes equation and Euler equation were brought into comparison; and by taking their typical initial value problem for example, the reason of leading to the difference in stability between Navier-Stokes and Euler equations was also analyzed.

关 键 词：NAVIER-STOKES方程 EULER方程 稳定方程 奇异方程 

分 类 号：O175.29[理学—数学]