The theory of regularized traces of operators as applied to approximate computation of eigenvalues and eigenfunctions of fluid dynamics problems

被引：0

作者：

Kerimov, M. K. ^{[1
]}

机构：

[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2012年 / 52卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

approximate methods for problems concerning hydrodynamic stability of viscous flows; Orr-Sommerfeld differential operator; computation of eigenvalues and eigenfunctions; methods of regularized traces of operators; HYDRODYNAMIC STABILITY; 1ST EIGENVALUES; FLOW;

D O I：

10.1134/S0965542512050120

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some results concerning the computation of eigenvalues and eigenfunctions of fluid dynamics problems by applying methods of regularized traces of differential operators are presented. The presentation is focused primarily on the non-self-adjoint fourth-order Orr-Sommerfeld operator, which arises in the hydrodynamic stability theory of viscous flows.

引用

页码：756 / 786

页数：31

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