一维可压缩Euler方程经典解的破裂  

Blowup of Classical Solutions of Compressible Euler Equations in One Space Dimension

作　　者：张新丽[1] 张春凤[2] 

机构地区：[1]青岛科技大学数理系,山东青岛266042 [2]青岛理工大学理学院,山东青岛266033

出　　处：《菏泽学院学报》2006年第2期12-15,共4页Journal of Heze University

摘　　要：将一维可压缩Euler方程组的柯西问题通过引入黎曼不变量将其化为对角型一阶拟线性双曲组,以此为基础研究解的生命跨度,并给出了经典解的生命跨度的上界估计.It is studied that blowup of classical solutions of compressible Euler equations in one space dimensions. It is proved that the classical solutions have to blow up in the finite time and obtained that an upper bound for the lifespan.

关 键 词：可压缩EULER方程 生命跨度 

分 类 号：O175.27[理学—数学]