具松弛项的欧拉方程组的光滑解的奇性形成  

Formation of Singularities of Smooth Solution Euler Equations with Relaxation Term

作　　者：郑永树[1] 

机构地区：[1]华侨大学数学系,福建泉州362011

出　　处：《泉州师范学院学报》2004年第2期27-30,共4页Journal of Quanzhou Normal University

基　　金：国务院侨办科研基金资助项目(03QZR9)

摘　　要：研究具松弛项的可压缩的欧拉方程组柯西问题:在关于压力函数和次特征条件的假设下,如果初值的C1模有界,且初始密度离开真空状态.文章给出在有限时间光滑解的奇性形成的充分条件.A study is made on the Cauchy problem of compressible Euler equations with relaxation term. Under the supposes on pressure function and sub-characteristic condition, if the initial value is bounded norm and the initial density is far from vacuum, a sufficient condition on the formation of singularities of smooth solution in finite time is given.

关 键 词：欧拉方程组 松弛项 光滑解 奇性形成 柯西问题 

分 类 号：O175.2[理学—数学]