On the Orr-Sommerfeld Equation with Linear Profile

Details On the Orr-Sommerfeld Equation with Linear Profile On the Orr-Sommerfeld Equation with Linear Profile

2002-12-09

arxiv.org/abs/math/0212127v3

Mathematics

Functional Analysis

35 pages, 4 figures

Scientific paper

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.

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