Instability of the Rayleigh problem with piecewise smooth steady states

Boundary value problems

Jiangang Qi¹  Bing Xie¹  Shaozhu Chen¹ 

[1] Department of Mathematics, Shandong University at Weihai, Weihai, P.R. China

关键词: Rayleigh equation;    shear flow;    instability;    \(\mathcal{P}\mathcal{T}\)-symmetric;    eigenvalue problem;    76E09;    76E20;    34B24;   

DOI  :  10.1186/s13661-016-0609-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The present paper investigates the instability of the Rayleigh equation with piecewise smooth steady states. An existence result of a number of unstable modes for the Rayleigh problem is obtained.

【 授权许可】

CC BY