Geodesic
Spatial natural oscillations of a boundary layer with a triple-deck velocity field structure
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 298-319

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The beforehand unclear relation between the viscous-inviscid interaction and the instability of viscous gas flows is illustrated using three-dimensional boundary-layer perturbations in the case of sub- and supersonic outer flows. The assumptions are considered under which asymptotic boundary layer equations with self-induced pressure are derived and the excitation mechanisms of eigenmodes (i.e., Tollmien–Schlichting waves) are described. The resulting dispersion relations are analyzed. The boundary layer in a supersonic flow is found to be stable with respect to two-dimensional perturbations, whereas, in the three-dimensional case, the modes become unstable. The increment of growth is investigated as a function of the Mach number and the orientation of the front of a three-dimensional Tollmien–Schlichting wave. 
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     author = {K. V. Guzaeva and V. I. Zhuk},
     title = {Spatial natural oscillations of a boundary layer with a triple-deck velocity field structure},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a9/}
}
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K. V. Guzaeva; V. I. Zhuk. Spatial natural oscillations of a boundary layer with a triple-deck velocity field structure. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 298-319. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a9/