The eigenvalue problem and expansion theorems associated with Orr- Sommerfeld equation
type: Item
instance of: scholarly article
title: The eigenvalue problem and expansion theorems associated with Orr- Sommerfeld equation
zbMATH Open document ID: 0609.35068
DOI: 10.1007/BF01877398
author: Heng Zhou
author: Li Li
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1981-01-01T00:00:00Z
review text: The stability of laminar fluid motion is investigated and some new results are obtained, namely: (1) The expansion series converges uniformly and absolutely. (2) The coefficients of the expansion series satisfy an inequality of Paley-Wiener type, which is the natural extension of the well-known Bessel equality of a complete orthogonal set.
Mathematics Subject Classification ID: 35P10
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 3985788
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: expansion theorems
zbMATH Keywords: Orr-Sommerfeld equation
zbMATH Keywords: stability of laminar fluid motion
zbMATH Keywords: expansion series
zbMATH Keywords: inequality of Paley- Wiener type
zbMATH Keywords: Bessel equality
zbMATH Keywords: complete orthogonal set
MaRDI profile type: Publication
cites work: Q3230984
description: scientific article; zbMATH DE number 3985788