Abstract
The problem of hydrodynamic stability is considered from the point of view of Schrödinger operator perturbations.
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References
Stepin, S. A.: On the eigenfunction expansion for continuous spectrum of the Rayleigh equation,Funk. Anal. i Pril. 27(3), 87–89 (1993).
Lin, C. C.:The Theory of Hydrodynamic Stability, Cambridge University Press, Cambridge, 1955.
Schlichting, H.:Boundary Layer Theory, McGraw-Hill, New York, 1960.
Betchov, R. and Criminale, W. O.:Stability of Parallel Flow, Academic Press, New York, 1967.
Swinney, H. L. and Gollub, J. P. (eds):Hydrodynamic Instabilities and Transition to Turbulence, Springer, Berlin, 1978.
Lidsky, V. B.: The completeness condition for the system of subspaces of eigenvectors and associated vectors for nonself-adjoint operators with discrete spectra,Trudy Mosk. Mat. Ob. 8, 82–120 (1959).
Kato, T.:Perturbation Theory for Linear Operators, Springer-Verlag, Berlin, 1966.
Di Prima, R. C. and Habetler, C. J.: A completeness theorem for nonself-adjoint eigenvalue problems in hydrodynamic stability,Arch. Rat. Mech. Anal. 34(3), 218–227 (1969).
Naboko, S. N.: Functional model of perturbation theory and its applications to the scattering theory,Trudy Steklov Mat. Inst. An SSSR. 147, 86–114 (1980).
Balslev, E.: Perturbation of ordinary differential operators,Math. Scand. 11(2), 131–148 (1962).
Hughes, T. H. and Reid, W. H.: On the stability of the asymptotic suction boundary layer profile,J. Fluid Mech. 23(4), 715–735 (1965).
Joseph, D. D.:Stability of Fluid Motion, Springer-Verlag, Berlin, 1971.