Geodesic
Acoustic model of zero-width slits and hydrodynamic boundary layer stability
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 391-401 Cet article a éte moissonné depuis la source Math-Net.Ru

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The flow of a fluid in a two-dimensional half-space with a system of acoustic resonators joined to its boundary is investigated. The acoustic system is calculated using a model of zero-width slits based on the theory of self-adjoint extensions of symmetric operators. The influence of the acoustic effects on the stability of a boundary layer of viscous compressible fluid is taken into account. It is shown that for a definite choice of the parameters of the system it is possible to increase the critical Reynolds number, i.e., to laminarize the flow. 
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B. S. Pavlov; I. Yu. Popov. Acoustic model of zero-width slits and hydrodynamic boundary layer stability. Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 391-401. http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a8/

[1] Pavlov B. S., UMN, 42:6 (1987), 99–131 | MR

[2] Popov I. Yu., “The extension theory and diffraction problems”, Lecture Notes in Physics, 324, Springer-Verlag, Berlin–Heidelberg–New York, 1989, 218–229 | DOI | MR

[3] Drozdov M. Yu., Popov I. Yu., Vestn. LGU. Ser. 4, 1987, no. 3, 93–95

[4] Vatson G. N., Teoriya besselevykh funktsii, T. 1, IL, M., 1949

[5] Ezerskii A. B., Izv. AN SSSR. MZhG, 1983, no. 4, 23–28

[6] Shustikov A. G., Akust. zh., 29:5 (1983), 693–699

[7] Leble S. B., Popov I. Yu., Gugel Yu. V., “Opisanie vzaimodeistviya voln razlichnykh dispersionnykh vetvei v stratifitsirovannykh sredakh”, Gidromekhanika, In-t mekhaniki AN USSR, 1990, 93–104

[8] Lin Tszya-tszyao, Teoriya gidrodinamicheskoi ustoichivosti, IL, M., 1958