A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction. I: Formulation, analysis, and computations

DOI10.3934/CPAA.2009.8.123zbMath1153.74014OpenAlexW2024761396MaRDI QIDQ2518227

David P. Bourne, Stuart S. Antman

Publication date: 15 January 2009

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2009.8.123

zbMATH Keywords

linearized stabilityTaylor-Couette problemnonlinearly viscoelastic membrane

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability of dynamical problems in solid mechanics (74H55) Membranes (74K15) Rotation in hydrodynamic stability (76E07)

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