Polynomial stability in two-dimensional magneto-elasticity

DOI10.1093/IMAMAT/66.3.269zbMath1029.74020OpenAlexW2150694726MaRDI QIDQ2746246

Reinhard Racke, Jaime Edilberto Muñoz Rivera

Publication date: 10 October 2001

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-20891

zbMATH Keywords

uniform stabilityLyapunov functionalisotropic elasticityenergy estimatepolynomial decay ratelinear magneto-elasticity

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)

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Energy decay in piezoelectric systems ⋮ Stabilization of a thermoelastic Mindlin-Timoshenko plate model revisited ⋮ Polynomial decay rate of C₀ semigroup in Hilbert spaces ⋮ Revisiting the stabilization of a three‐dimensional hybrid magnetoelastic structure ⋮ Polynomial decay for the energy with an acoustic boundary condition ⋮ Exponential stabilization of magnetoelastic waves in a Mindlin-Timoshenko plate by localized internal damping ⋮ Polynomial stability of a magneto-thermoelastic Mindlin-Timoshenko plate model ⋮ Polynomial stability of a joint-leg-beam system with local damping ⋮ Optimal decay rates and the selfadjoint property in overdamped systems ⋮ A geometric condition for the uniform stability of linear magnetoelasticity ⋮ The role of magnetic fields in the strong stabilization of a hybrid magneto-elastic structure ⋮ Polynomial decay rate of a thermoelastic Mindlin-Timoshenko plate model with Dirichlet boundary conditions ⋮ Rational rates of uniform decay for strong solutions to a fluid-structure PDE system ⋮ An analytic semigroup for the magnetoelastic Mindlin–Timoshenko plate model

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