摘要
在与初始动量有关的加权泛函充分大的假设下建立非等熵欧拉方程组初边值问题轴对称解的几个爆破结果.这些结果以轴对称解形式部分地补充了Sideris的经典爆破结果(1985),且把ZHU和TU的某些爆破结果(2014)推广到非等熵情形.
Several results about the blowup of the axis-symmetric solutions are established for the initial-boundary value problem of the non-isentropic Euler equations, under some assumptions on weighed functionals associated with the initial momentum that they are large enough. These results partially complement the classical Sideris blowup results(1985) with the axis-symmetric solutions and extend some blowup results of ZHU and TU(2014) to the non-isentropic case.
作者
董建伟
娄光谱
杨永
DONG Jianwei;LOU Guangpu;YANG Yong(School of Mathematics and Physics,Zhengzhou University of Aeronautics,Zhengzhou 450015,China)
出处
《应用数学》
CSCD
北大核心
2019年第1期119-125,共7页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(11501525)
the Outstanding Youth Foundation of Science and Technology Innovation of Henan Province(2018JQ0004)
关键词
可压缩非等熵欧拉方程组
轴对称
爆破
Compressible non-isentropic Euler equation
Axis-symmetry
Blowup
