A quadratic eigenvalue problem involving Stokes equations

DOI10.1016/0045-7825(92)90086-YzbMath0761.76019OpenAlexW2038044847MaRDI QIDQ1205057

S. Singh

Publication date: 1 April 1993

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(92)90086-y

zbMATH Keywords

existence theoremspectral problemnon-local boundary conditionfluid-solid structurelinear non-selfadjoint compact operatorparallel rigid tubes

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Estimates of eigenvalues in context of PDEs (35P15) Stokes and related (Oseen, etc.) flows (76D07)

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Vibration and transient response of structural-acoustic interior coupled systems with dissipative interface, Added mass and damping in fluid-structure interaction, Linear stability analysis in fluid--structure interaction with transpiration. I: Formulation and mathematical analysis., Linear stability analysis in fluid-structure interaction with transpiration. II: Numerical analysis and applications., Homogenization and Bloch wave method for fluid tube bundle interaction, A new spectral problem in fluid-structure interaction with transpiration, Hermitian quadratic eigenvalue problems of restricted rank

Cites Work

• Existence and location of eigenvalues for fluid-solid structures
• Un problème de fréquences propres en couplage fluide-structure. (An eigenfrequencies problem for fluid-structure interaction)
• Global behaviour of large elastic tube bundles immersed in a fluid
• Eigenfrequencies of a tube bundle immersed in a fluid
• A spectral problem arising in fluid-solid structures
• Eigenfrequencies of a tube bundle placed in a confined fluid
• Structure of the set of stationary solutions of the navier‐stokes equations
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