Geodesic
Acoustic model of zero-width slits and hydrodynamic boundary layer stability
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 391-401

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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. 
@article{TMF_1991_86_3_a8,
     author = {B. S. Pavlov and I. Yu. Popov},
     title = {Acoustic model of zero-width slits and hydrodynamic boundary layer stability},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {391--401},
     publisher = {mathdoc},
     volume = {86},
     number = {3},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a8/}
}
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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/