The Timoshenko system with history and Cattaneo law
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Publication:529890
DOI10.1016/j.amc.2013.11.054zbMath1364.35358OpenAlexW2094792083MaRDI QIDQ529890
Luci Harue Fatori, Hugo D. Fernández Sare, Rodrigo Nunes Monteiro
Publication date: 9 June 2017
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2013.11.054
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Thermodynamics in solid mechanics (74A15) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (16)
On a semilinear Timoshenko-Coleman-Gurtin system: quasi-stability and attractors ⋮ Effects of history and heat models on the stability of thermoelastic Timoshenko systems ⋮ Global existence and exponential stability for a nonlinear Timoshenko system with delay ⋮ Polynomial decay for the Timoshenko system with dynamical boundary conditions ⋮ Quasi-stability property and attractors for a semilinear Timoshenko system ⋮ Quasi-stability and attractor for a laminated-Coleman-Gurtin beam without structural damping ⋮ Stability results of locally coupled wave equations with local Kelvin-Voigt damping: cases when the supports of damping and coupling coefficients are disjoint ⋮ Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects ⋮ Asymptotic behavior of non‐uniform Timoshenko beam acting on shear force with feedback controller ⋮ New decay rates for a Cauchy thermoelastic laminated Timoshenko problem with interfacial slip under Fourier or Cattaneo laws ⋮ Long-time dynamics for a nonlinear Timoshenko system with delay ⋮ On the decay rates for two Cauchy thermoelastic laminated Timoshenko problems of type III with interfacial slip ⋮ Dynamics of the nonlinear Timoshenko system with variable delay ⋮ A transmission problem for the Timoshenko system with one local Kelvin-Voigt damping and non-smooth coefficient at the interface ⋮ Stability of a thermoelastic mixture with second sound ⋮ A new perspective of exponential stability for Timoshenko systems under history and thermal effects1
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