Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal laws
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Publication:6083289
DOI10.1515/math-2023-0127zbMath1526.35047OpenAlexW4387507633MaRDI QIDQ6083289
Publication date: 31 October 2023
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2023-0127
Stability in context of PDEs (35B35) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Strong solutions to PDEs (35D35) Initial-boundary value problems for second-order hyperbolic systems (35L53)
Cites Work
- Lack of exponential stability to Timoshenko system with viscoelastic Kelvin-Voigt type
- A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials
- The stability number of the Timoshenko system with second sound
- Analysis of a thermoelastic Timoshenko beam model
- Functional analysis, Sobolev spaces and partial differential equations
- On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
- Semigroups of linear operators and applications to partial differential equations
- On the range of applicability of the Reissner--Mindlin and Kirchhoff--Love plate bending models
- 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
- Stability rate of a thermoelastic laminated beam: case of equal-wave speed and nonequal-wave speed of propagation
- A general and optimal stability result for a laminated beam
- An exponential stability result of a Timoshenko system with thermoelasticity with second sound and in the presence of delay
- Comparison of linear beam theories
- On the stability of Timoshenko systems with Gurtin-Pipkin thermal law
- On the stabilization of Timoshenko systems with memory and different speeds of wave propagation
- A general theory of heat conduction with finite wave speeds
- An abstract Volterra equation with applications to linear viscoelasticity
- Vibration control of Timoshenko beam traversed by moving vehicle using optimized tuned mass damper
- Nonlinear damped Timoshenko systems with second sound-Global existence and exponential stability
- On the stability of a laminated beam with structural damping and Gurt–Pipkin thermal law
- Exponential stability of a Timoshenko type thermoelastic system with Gurtin-Pipkin thermal law and frictional damping
- On the stability of a viscoelastic Timoshenko system with Maxwell-Cattaneo heat conduction
- Stabilization of a new memory-type thermoelastic Timoshenko system
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