Importance of Tollmien's counter example

Studies in Applied Mathematics

Volumn 105, Issue 3, 2000, Pages 191-202

  Banerjee, Mihir B ^a   Shandil, R G ^a   Shirkot, K S ^a   Sharma, Daleep ^a  

^a HIMACHAL PRADESH UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

COUNTER EXAMPLES;

EID: 0011064228     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.00148     Document Type: Article

References (11)

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3. K. O. FRIEDRICHS, Fluid Dynamics, Chap. IV, mimeographed lecture notes, Brown University, Providence, RI (1942).
4. R. FJORTOFT, Application of integral theorems in deriving criteria of stability of laminar flow and for the baroclinic circular vortex, Geophys. Pub. 17(6):1-52 (1950).
5. E. HOILAND, On two-dimensional perturbation of linear flow, Geophys. Pub. 18(9):1-12 (1953).
6. L. N. HOWARD, Note on a paper of John W. Miles, J. Fluid Mech. 10:509-512 (1961).
7. L. N. HOWARD, The number of unstable modes in hydrodynamic stability problems, J. Mecanique 8:433-443 (1964).
8. F. J. HICKERNELL, An upper bound on the growth rate of a linear instability in a homogeneous shear flow, Stud. Appl. Math. 55:9-4 (1985).
9. M. B. BANERJEE, R. G. SHANDIL, and V. KANWAR, A proof of Howard's conjecture in homogeneous parallel shear flows, Proc. Indian Acad. Sci. 104:593-596 (1994).
10. P. G. DRAZIN and L. N. HOWARD, Hydrodynamic stability of parallel flow of inviscid fluid, Adv. Appl. Mech. 9:1-89 (1966).
11. M. N. ROSENBLUTH and A. SIMON, Necessary and sufficient condition for the stability of plane parallel inviscid flow, Phys. Fluids 7:557-558 (1964).