A new perspective of exponential stability for Timoshenko systems under history and thermal effects1
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Publication:5029377
DOI10.3233/ASY-211688WikidataQ115488294 ScholiaQ115488294MaRDI QIDQ5029377
Sandro B. Pinheiro, Marcio Antonio Jorge da Silva
Publication date: 14 February 2022
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.01180
Stability in context of PDEs (35B35) Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55) Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Cites Work
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- Invariance of decay rate with respect to boundary conditions in thermoelastic Timoshenko systems
- General decay for a porous-thermoelastic system with memory: the case of nonequal speeds
- The Timoshenko system with history and Cattaneo law
- General decay for a porous thermoelastic system with memory: the case of equal speeds
- The stability number of the Timoshenko system with second sound
- Effects of history and heat models on the stability of thermoelastic Timoshenko systems
- Energy decay in a Timoshenko-type system with history in thermoelasticity of type III
- On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
- Semigroups of linear operators and applications to partial differential equations
- Energy decay for Timoshenko systems of memory type.
- Longtime behavior of a viscoelastic Timoshenko beam.
- General stability of memory-type thermoelastic Timoshenko beam acting on shear force
- Non-homogeneous thermoelastic Timoshenko systems
- Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
- On a Timoshenko system with thermal coupling on both the bending moment and the shear force
- Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping
- Stability to 1-D thermoelastic Timoshenko beam acting on shear force
- On Timoshenko-type systems with type III thermoelasticity: asymptotic behavior
- Timoshenko systems with fading memory
- On the stability of Timoshenko systems with Gurtin-Pipkin thermal law
- Stability of Timoshenko systems with past history
- A short course on operator semigroups
- Asymptotic stability in viscoelasticity
- A re-examination of the basic postulates of thermomechanics
- Energy decay for Porous-thermo-elasticity systems of memory type
- On the Spectrum of C 0 -Semigroups
- Spectral Theory for Contraction Semigroups on Hilbert Space
- Uniform decay of energy for a porous thermoelasticity system with past history
- DECAY OF SOLUTIONS OF THE SYSTEM OF THERMOELASTICITY OF TYPE III
- Uniform attractors for a phase-field model with memory and quadratic nonlinearity
- On Modeling and Uniform Stability of a Partially Dissipative Viscoelastic Timoshenko System
- Energy decay to Timoshenko's system with thermoelasticity of type III