Spectral properties of the Orr-Sommerfeld problem

Royal Society of Edinburgh - Proceedings A

Volumn 127, Issue 6, 1997, Pages 1245-1261

  Langer, Heinz ^a   Tretter, Christiane ^b  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^b UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944435586     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500027049     Document Type: Article

References (8)

1. R. C. DiPrima and G. J. Habetler. A completeness theorem for non-selfadjoint eigenvalue problems in hydrodynamic stability. Arch. Rational Mech. Anal. 34 (1969), 218-27.
2. I. C. Gohberg and M. G. Krein. Introduction to the Theory of Linear Nonselfadjoint Operators, AMS Translations of Mathematical Monographs 18 (Providence, RI: American Mathematical Society, 1969).
3. H. Langer, V. Pivovarchik and C. Tretter. Spectral properties of a compactly perturbed linear span of projections. Integral Equations Operator Theory 26:3 (1996), 353-66.
4. C. C. Lin. The Theory of Hydrodynamic Stability (Cambridge: Cambridge University Press, 1955).
5. A. S. Markus. Introduction to the Theory of Polynomial Operator Pencils, AMS Translations of Mathematical Monographs 71 (Providence, RI: American Mathematical Society, 1988).
6. I. V. Schensted. Contributions to the Theory of Hydrodynamic Stability (Ph.D. Thesis, University of Michigan, Ann Arbor, 1960).
7. A. A. Shkalikov and C. Tretter. Kamke problems. Properties of the eigenfunctions. Math. Nachr. 170 (1994), 251-75.
8. A. A. Shkalikov and C. Tretter. Spectral analysis for linear pencils N - λP of ordinary differential operators. Math. Nachr. 179 (1996), 275-305.