Asymptotic analysis of a fourth-order turning-point problem in hydrodynamic stability

Quarterly Journal of Mechanics and Applied Mathematics

Volumn 53, Issue 1, 2000, Pages 27-42

  Ng, B S ^a   Reid, W H ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; HYDRODYNAMICS; INTEGRAL EQUATIONS; POLYNOMIALS; REYNOLDS NUMBER;

NORMAL MODE ANALYSIS; ORR-SOMMERFIELD PROBLEM; PARABOLIC CYLINDER FUNCTIONS; PEKERIS MODES; POISEUILLE FLOW;

ASYMPTOTIC STABILITY;

EID: 0033897209     PISSN: 00335614     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmam/53.1.27     Document Type: Article

References (11)

1. S. A. Orszag, J. Fluid Mech. 50 (1971) 689-703.
2. L. M. Mack, ibid. 73 (1976) 497-520.
3. C. L. Pekeris, Phys. Rev. (2) 74 (1948) 191-199.
4. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York 1978).
5. F. W. J. Olver, Asymptotics and Special Functions (Academic Press, New York 1974).
6. P. G. Drazin and W. H. Reid, Hydrodynamic Stability (University Press, Cambridge 1981).
7. W. Magnus and F. Oberhettinger, Formulas and Theorems for the Special Functions of Mathematical Physics (Chelsea, New York 1949).
8. W. D. Lakin and A. Nachman, Q. appl. Math. 35 (1978) 479-493.
9. Y. L. Luke, Integrals of Bessel Functions (McGraw-Hill, New York 1962).
10. T. Tatsumi and K. Gotoh, in Instability of Continuous Systems (ed. H. Leipholz; Springer, Berlin 1971) 368-375.
11. A. Davey, in Stability in the Mechanics of Continua (ed. F. H. Schroeder; Springer, Berlin 1982) 365-372.