Time-Periodic Isentropic Supersonic Euler flows in One-Dimensional Ducts Driving by Periodic Boundary Conditions

被引：0

作者：

Hairong Yuan

机构：

[1] East China Normal University,School of Mathematical Sciences; Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice

来源：

Acta Mathematica Scientia | 2019年 / 39卷

关键词：

supersonic flow; isentropic; compressible Euler equations; duct; time-periodic solution; initial-boundary-value problem; 35B10; 35L04; 76G20;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：403 / 412

页数：9

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