Geodesic
On parametric instability of viscous two-layer fluid in a vessel with a permeable bottom
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 11, pp. 1958-1968 Cet article a éte moissonné depuis la source Math-Net.Ru

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A linear problem of parametric oscillations of a low-viscous two-layer fluid in a closed vessel partially filled with a porous medium is studied. An asymptotic solution is constructed on the basis of combined application of boundary functions and averaging methods. Approximate formulas for boundaries of instability domains in the case of subharmonic and harmonic resonances are derived. 
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     author = {A. V. Kravtsov},
     title = {On parametric instability of viscous two-layer fluid in a~vessel with a~permeable bottom},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1958--1968},
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A. V. Kravtsov. On parametric instability of viscous two-layer fluid in a vessel with a permeable bottom. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 11, pp. 1958-1968. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a11/

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[4] Kravtsov A. B., Sekerzh-Zenkovich S. Ya., “Parametricheskoe vozbuzhdenie kolebanii vyazkoi dvukhsloinoi zhidkosti v zamknutom sosude”, Zh. vychisl. matem. i matem. fiz., 33:4 (1993), 611–619 | MR | Zbl

[5] Kravtsov A. B., Kravtsov Al. V., “Parametricheskaya neustoichivost granitsy razdela vyazkoi dvukhsloinoi zhidkosti”, Zh. vychisl. matem. i matem. fiz., 42:8 (2002), 1236–1245 | MR | Zbl

[6] Kravtsov A. B., Sekerzh-Zenkovich S. Ya., “O parametricheskoi neustoichivosti vyazkoi zhidkosti v sosude s pronitsaemym dnom”, Zh. vychisl. matem. i matem. fiz., 45:5 (2005), 890–898 | MR | Zbl