Stabilization of mixture of two rigid solids modeling temperature and porosity

DOI10.1016/j.aml.2011.10.044zbMath1285.74007OpenAlexW1996434580MaRDI QIDQ419096

Margareth S. Alves, Mauricio Sepúlveda, Octavio P. Vera Villagrán, Jaime Edilberto Muñoz Rivera

Publication date: 18 May 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.10.044

zbMATH Keywords

exponential stabilityanalyticity\(C_{0}\)-semigroup

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Mixture effects in solid mechanics (74F20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

About analyticity for the coupled system of linear thermoviscoelastic equations

Cites Work

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• Stabilization of a system modeling temperature and porosity fields in a Kelvin-Voigt-type mixture
• Exponential decay in a thermoelastic mixture of solids
• Exponential stability in thermoviscoelastic mixtures of solids
• Some qualitative results for the linear theory of binary mixtures of thermoelastic solids
• On the Theory of Viscoelastic Mixtures and Stability
• On the Spectrum of C 0 -Semigroups
• Spectral Theory for Contraction Semigroups on Hilbert Space

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