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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2007 Volume 47, Number 11, Pages 1958–1968 (Mi zvmmf227)

On parametric instability of viscous two-layer fluid in a vessel with a permeable bottom

A. V. Kravtsov

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia

Abstract: 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.

Key words: viscous fluid, parametric resonance, permeable material, singular perturbations.

UDC: 519.634

Received: 31.05.2007


 English version:
Computational Mathematics and Mathematical Physics, 2007, 47:11, 1875–1884

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© Steklov Math. Inst. of RAS, 2026