A new exponential decay result for one-dimensional porous dissipation elasticity from second spectrum viewpoint

DOI10.1016/j.aml.2019.106061zbMath1431.35201OpenAlexW2977815014WikidataQ115597898 ScholiaQ115597898MaRDI QIDQ2338293

Yanyan Li

Publication date: 21 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106061

zbMATH Keywords

blow-upexponential decaysecond spectrumporous-elastic system

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Classical linear elasticity (74B05) Vibrations in dynamical problems in solid mechanics (74H45) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44)

Related Items (8)

Issues related to the second spectrum, Ostrogradsky's energy and the stabilization of Timoshenko-Ehrenfest-type systems ⋮ Impact of the damaging consequences of the second spectrum on the stabilization of nonlinear Timoshenko systems ⋮ Global attractors for porous-elasticity system from second spectrum viewpoint ⋮ Energy decay analysis for porous elastic system with thermoelasticity of type III: a second spectrum approach ⋮ Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures ⋮ Dual-phase-lag one-dimensional thermo-porous-elasticity with microtemperatures ⋮ The optimal decay rates for viscoelastic Timoshenko type system in the light of the second spectrum of frequency ⋮ Stabilization of Timoshenko-Ehrenfest type systems

Cites Work

• Graphical representation of Timoshenko beam modes for clamped-clamped boundary conditions at high frequency: beyond transverse deflection
• On the nature of dissipative Timoshenko systems at light of the second spectrum of frequency
• Linear elastic materials with voids
• Slow decay for one-dimensional porous dissipation elasticity
• The hypothesis of equal wave speeds for stabilization of Timoshenko beam is not necessary anymore: the time delay cases†

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