Bounds for the threshold amplitude for plane couette flow

Journal of Nonlinear Mathematical Physics

Volumn 9, Issue 3, 2002, Pages 311-324

  Liefvendahl, Mattias ^a   Kreiss, Gunilla ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036059068     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2002.9.3.5     Document Type: Article

References (11)

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4. Kreiss, H-O, and Lorenz, J. 1989. Initial-Boundary Value Problems and the Navier–Stokes Equations, Vol. 136, Academic Press. Pure and Applied Mathematics
5. Ladyzhenskaya, O A. 1969. The Mathematical Theory of Viscous Incompressible Flow, 2nd, Vol. 2, Gordon and Breach, Science Publishers. Mathematics and Its Applications
6. Liefvendahl, M, and Kreiss, G. Analytical and Numerical Investigation of the Resolvent for Plane Couette Flow. SIAM J. Appl. Math., submitted
7. Lin, Ch-Ch. 1955. The Theory of Hydrodynamical Stability, Cambridge Univ. Press.
8. Reddy, S C, Schmid, P J, Baggett, J S, and Henningson, D S. 1998. On Stability of Streamwise Streaks and Transition Thresholds in Plane Channel Flows. J. Fluid Mech., 365:269–303.
9. Romanov, V A. 1973. Stability of Plane-Parallel Couette Flow. Funct. Anal. Appl., 7:137–146.
10. Schmid, P J, and Henningson, D S. 2001. Stability and Transition in Shear Flows, Springer. Applied Mathematical Sciences, 142
11. Trefethen, L N, Trefethen, A E, Reddy, S C, and Driscoll, T A. 1993. Hydrodynamic Stability without Eigenvalues. Science, 261:578–584.