On the decay of MGT-viscoelastic plate with heat conduction of Cattaneo type in bounded and unbounded domains
DOI10.3934/CPAA.2022151OpenAlexW4312577124MaRDI QIDQ2699516
Tijani A. Apalara, Atika Radid, Mounir Afilal, Abdelaziz Soufyane
Publication date: 19 April 2023
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2022151
Cauchy problemsemigroupexponential stabilizationregularity lossCattaneo typeMoore-Gibson-Thompson viscoelastic plate model
Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Asymptotic stability in control theory (93D20) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
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- The Moore-Gibson-Thompson equation with memory in the critical case
- Moore-Gibson-Thompson equation with memory. II: General decay of energy.
- On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity
- On the analyticity of the MGT-viscoelastic plate with heat conduction
- Moore-Gibson-Thompson theory for thermoelastic dielectrics
- Ill-posed problems in thermomechanics
- Semigroups of linear operators and applications to partial differential equations
- On a fourth-order equation of Moore-Gibson-Thompson type
- A new approach to MGT-thermoviscoelasticity
- On uniqueness and instability for some thermomechanical problems involving the Moore-Gibson-Thompson equation
- Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound
- DECAY PROPERTY OF REGULARITY-LOSS TYPE AND APPLICATION TO SOME NONLINEAR HYPERBOLIC–ELLIPTIC SYSTEM
- DECAY PROPERTY OF REGULARITY-LOSS TYPE FOR DISSIPATIVE TIMOSHENKO SYSTEM
- On the Spectrum of C 0 -Semigroups
- An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability
- WELL-POSEDNESS AND EXPONENTIAL DECAY OF THE ENERGY IN THE NONLINEAR JORDAN–MOORE–GIBSON–THOMPSON EQUATION ARISING IN HIGH INTENSITY ULTRASOUND
- Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type
- Moore–Gibson–Thompson thermoelasticity
- Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
- New decay rates for Cauchy problem of Timoshenko thermoelastic systems with past history: Cattaneo and Fourier law
- On the analyticity of the abstract MGT-Fourier system
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