Stability in thermoviscoelasticity with second sound

DOI10.1007/s00245-018-9495-8zbMath1443.74200OpenAlexW2795069381MaRDI QIDQ781551

G. Gómez Ávalos, Octavio P. Vera Villagrán, Jaime Edilberto Muñoz Rivera

Publication date: 17 July 2020

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-018-9495-8

zbMATH Keywords

exponential stabilityKelvin-Voigt dampingstability of semigroup

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Strings (74K05)

Related Items (5)

Effects of Kelvin-Voigt damping on the stability of (thermo)elastic Timoshenko system with second sound ⋮ Analyticity and stability results for a plate‐membrane type transmission problem ⋮ Effect of temperature upon double diffusive instability in Navier-Stokes-Voigt models with Kazhikhov-Smagulov and Korteweg terms ⋮ Unnamed Item ⋮ Competitive double diffusive convection in a Kelvin-Voigt fluid of order one

Cites Work

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• On the Spectrum of C 0 -Semigroups
• Thermoelasticity with Second Sound: A Review
• Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping
• Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
• The asymptotic behavior of the linear transmission problem in viscoelasticity

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