On the study of small oscillations of two fluids occupying a bounded domain of arbitrary form

DOI10.1007/BF00920042zbMath0884.76012OpenAlexW2079147248MaRDI QIDQ1366331

Mohamed Rachid Laydi

Publication date: 23 October 1997

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00920042

zbMATH Keywords

finite elementspenalizationeigenvalue problemerror estimationEuler's equationcompact selfadjoint operatorabstract theorem on existence

Mathematics Subject Classification ID

Applications of functional analysis in biology and other sciences (46N60) Internal waves for incompressible inviscid fluids (76B55)

Cites Work

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• Petites oscillations d'un liquide dans un vase fermé par une membrane élastique. (Small oscillations of a liquid in a rigid container closed by an elastic membrane)
• Etude théorique des petites oscillations d'une pendule à fond élastique contenant un liquide. (The theoretical study of the small oscillations of a pendulum with elastic bottom containing a liquid)
• Mathematical study of the small oscillations of a viscous liquid in a container closed by an elastic cover
• Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation
• Mathematical formulation of fluid-structure interaction problems
• Stability of Motion of Solid Bodies with Liquid-Filled Cavities by Lyapunov's Methods

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