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Salwen, Harold; Grosch, Chester E.

The continuous spectrum of the Orr-Sommerfeld equation. II: Eigenfunction expansions. (English) Zbl 0467.76051

J. Fluid Mech. 104, 445-465 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 47 Documents

MSC:

76E99 Hydrodynamic stability
35Q99 Partial differential equations of mathematical physics and other areas of application
76F10 Shear flows and turbulence
76D99 Incompressible viscous fluids
35P05 General topics in linear spectral theory for PDEs

Keywords:

expansion of two dimensional solutions; linearized streamfunction equation; discrete and continuum eigenfunctions; Orr-Sommerfeld equation; shear flows in a semi-infinite region; biorthogonality conditions for wavelike disturbances; temporal stability; initial-value problems; disturbances vorticity; spatial stability; completeness

Citations:

Zbl 0383.76031
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Full Text: DOI

References:

[1] DOI: 10.1007/BF00281139 · Zbl 0181.54703 · doi:10.1007/BF00281139
[2] DOI: 10.1017/S0022112076001146 · Zbl 0355.76035 · doi:10.1017/S0022112076001146
[3] Yudovich, Soviet Phys. Dokl. 10 pp 293– (1965)
[4] Salwen, Bull. Am. Phys. Soc. 24 pp 74– (1979)
[5] Obremski, AGAR Dograph 20 pp 1404– (1969)
[6] DOI: 10.1063/1.862035 · doi:10.1063/1.862035
[7] DOI: 10.1017/S002211207600147X · Zbl 0339.76030 · doi:10.1017/S002211207600147X
[8] DOI: 10.1063/1.862819 · Zbl 0408.76017 · doi:10.1063/1.862819
[9] DOI: 10.1063/1.1693363 · doi:10.1063/1.1693363
[10] Grosch, Bull. Am. Phys. Soc. 23 pp 525– (1978)
[11] Haupt, Sber. Bayer. Akad. Wiss. 2 pp 289– (1912)
[12] DOI: 10.1017/S0022112078002918 · Zbl 0383.76031 · doi:10.1017/S0022112078002918
[13] Grosch, Bull. Am. Phys. Soc. 20 pp 1423– (1975)
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