On the spectrum of the Orr - Sommerfeld equation on the semiaxis

Mathematische Nachrichten

Volumn 216, Issue , 2000, Pages 145-153

  Lahmann, J ^a   Plum, M ^b  

^a IBM   (Germany)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Essential spectrum; Orr Sommerfeld equation; Spectral bounds

Indexed keywords

EID: 0013054209     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/1522-2616(200008)216:1<145::aid-mana145>3.0.co;2-0     Document Type: Article

References (7)

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3. HERRON, L: The Orr - Sommerfeld Equation on Infinite Intervals, SIAM Rev. 29 (1987), 597-620
4. JOSEPH, D. D.: Eigenvalue Bounds for the Orr - Sommerfeld Equation, J. Fluid Mech. 33 (1968), 617-621
5. LANGER, H., and TRETTER, C.: Spectral Properties of the Orr - Sommerfeld Problem, Proc. Roy. Soc. Edinburgh Sect. A 127 (1997), 1245-1261
6. MIKLAVCIC, M.: Stability of Mean Flows over an Infinite Flat Plate, Arch. Rational Mech. Anal. 80 (1982), 57-69
7. SHKALIKOV, A. A., and TRETTER, C.: Spectral Analysis for Linear Pencils N - λP of Ordinary Differential Operators, Math. Nachr. 179 (1996), 275-305