Initial-boundary value problems for solid-fluid composite structures

DOI10.1007/s00033-011-0181-9zbMath1448.74032OpenAlexW2023014399MaRDI QIDQ451798

J. Herrera, D. Rodríguez-Gómez

Publication date: 24 September 2012

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

Full work available at URL: https://doi.org/10.1007/s00033-011-0181-9

zbMATH Keywords

initial-boundary value problemnon-local boundary conditionselastic prismatic shellsolid-fluid interaction dynamical problemsVekua's hierarchical models

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Shells (74K25) Stokes and related (Oseen, etc.) flows (76D07)

Cites Work

• Non-homogeneous media and vibration theory
• Interaction between thermoelastic and scalar oscillation fields
• A posteriori modeling error estimation for hierarchic plate models
• Cusped shell-like structures
• Two-dimensional hierarchical models for prismatic shells with thickness vanishing at the boundary
• LOW-FREQUENCY SCATTERING BY A BODY IN LUBRICATED CONTACT
• Symmetric finite element and boundary integral coupling methods for fluid-solid interaction
• An asymptotic analysis of initial-value problems for thin elastic plates
• Existence and uniqueness theorems for cusped prismatic shells in theNth hierarchical model
• Orthogonality relations for fluid-structural waves in a three-dimensional, rectangular duct with flexible walls
• Qualitative analysis of initial-value problems for a thin elastic strip
• Cylindrical vibration of an elastic cusped plate under the action of an incompressible fluid in case ofN = 0 approximation of I. Vekuas hierarchical models
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