A new stabilization scenario for Timoshenko systems with thermo-diffusion effects in second spectrum perspective

DOI10.1007/s00013-020-01526-4zbMath1459.74108OpenAlexW3097266904MaRDI QIDQ2657487

Yanyan Li

Publication date: 12 March 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-020-01526-4

zbMATH Keywords

Timoshenko beamexistenceuniquenessexponential stabilitywell-posednessFaedo-Galerkin method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thermal effects in solid mechanics (74F05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

Impact of the damaging consequences of the second spectrum on the stabilization of nonlinear Timoshenko systems ⋮ Uniform stability of a thermodiffusion Timoshenko beam ⋮ Bresse-Timoshenko type systems with thermodiffusion effects: well-possedness, stability and numerical results ⋮ Global attractors for porous-elasticity system from second spectrum viewpoint ⋮ Exponential stabilization of a Timoshenko system with thermodiffusion effects ⋮ The optimal decay rates for viscoelastic Timoshenko type system in the light of the second spectrum of frequency ⋮ Stabilization of Timoshenko-Ehrenfest type systems ⋮ Polynomial and exponential decay rates of a laminated beam system with thermodiffusion effects ⋮ Stability of Timoshenko system coupled with thermal law of Gurtin-Pipkin affecting on shear force

Cites Work

• Unnamed Item
• On the nature of dissipative Timoshenko systems at light of the second spectrum of frequency
• Issues related to the second spectrum, Ostrogradsky's energy and the stabilization of Timoshenko-Ehrenfest-type systems
• An inverse inequality for a Bresse-Timoshenko system without second spectrum of frequency
• Existence, stability and numerical results for a Timoshenko beam with thermodiffusion effects
• The hypothesis of equal wave speeds for stabilization of Timoshenko beam is not necessary anymore: the time delay cases†
• Asymptotic behavior of weakly dissipative Bresse‐Timoshenko system on influence of the second spectrum of frequency

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