论文摘要
We show existence of time-periodic supersonic solutions in a finite interval, after certain start-up time depending on the length of the interval, to the one space-dimensional isentropic compressible Euler equations, subjected to periodic boundary conditions. Both classical solutions and weak entropy solutions, as well as high-frequency limiting behavior are considered. The proofs depend on the theory of Cauchy problems of genuinely nonlinear hyperbolic systems of conservation laws.
论文目录
文章来源
类型: 期刊论文
作者: 袁海荣
来源: Acta Mathematica Scientia(English Series) 2019年02期
年度: 2019
分类: 基础科学
专业: 数学
单位: School of Mathematical Sciences,Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice,East China Normal University
基金: supported by the National Natural Science Foundation of China(11371141 and 11871218),Science and Technology Commission of Shanghai Municipality(STCSM)under Grant No.18dz2271000
分类号: O175
页码: 403-412
总页数: 10
文件大小: 431K
下载量: 13
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