On the Orr-Sommerfeld Equation with Linear Profile
Functional Analysis
2007-05-23 v3
Abstract
The Orr-Sommerfeld equation with linear profile on the finite interval is considered. The behavior of the spectrum of this problem is completely investigated for large Reynolds numbers. The limit curves are found to which the eigenvalues concentrate and the counting eigenvalue functions along these curves are obtained.
Keywords
Cite
@article{arxiv.math/0212127,
title = {On the Orr-Sommerfeld Equation with Linear Profile},
author = {A. V. Dyachenko and A. A. Shkalikov},
journal= {arXiv preprint arXiv:math/0212127},
year = {2007}
}
Comments
35 pages, 4 figures