On the analyticity of the MGT-viscoelastic plate with heat conduction
DOI10.1016/J.JDE.2020.05.043zbMath1442.35073OpenAlexW3034968676MaRDI QIDQ778193
Vittorino Pata, Marta Pellicer, Monica Conti, Ramón Quintanilla
Publication date: 2 July 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.05.043
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Plates (74K20) Thermal effects in solid mechanics (74F05) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)
Related Items (25)
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.
- Stabilization for the vibrations modeled by the `standard linear model' of viscoelasticity
- On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity
- Semigroups of linear operators and applications to partial differential equations
- Thermoelasticity without energy dissipation
- On a fourth-order equation of Moore-Gibson-Thompson type
- A note on the equations of a thermoelastic plate
- Asymptotic behaviour for the vibrations modeled by the standard linear solid model with a thermal effect
- Optimal scalar products in the Moore-Gibson-Thompson equation
- Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound
- Von Karman Evolution Equations
- Analyticity of solutions in type III thermoelastic plates
- 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
- A unified procedure for construction of theories of deformable media. I. Classical continuum physics
- Moore–Gibson–Thompson thermoelasticity
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