Large-time asymptotic behavior for the classical thermoelastic system
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Publication:6084185
DOI10.1016/J.JDE.2023.10.014arXiv2206.08602MaRDI QIDQ6084185
Publication date: 31 October 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.08602
thermoelastic systemasymptotic profileFourier's lawoptimal estimateoptimal leading termdiffusion-waves
Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55) Initial value problems for systems of linear higher-order PDEs (35G40)
Cites Work
- Unnamed Item
- Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity
- Propagation of singularities in one-dimensional thermoelasticity
- Blow-up of solutions to the Cauchy problem in nonlinear one-dimensional thermoelasticity
- Propagation of mild singularities in higher dimensional thermoelasticity
- Optimal leading term of solutions to wave equations with strong damping terms
- Large time behavior of solutions to elastic wave with structural damping
- Asymptotic profiles for wave equations with strong damping
- Cauchy problem for linear thermoelastic systems. I: A unified approach
- Remarks on large time behavior of the \(L^2\)-norm of solutions to strongly damped wave equations.
- On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
- A re-examination of the basic postulates of thermomechanics
- Well-posedness and decay estimates for Cauchy problems of linear thermoelastic systems of type III in 3-D
- DECAY PROPERTY OF REGULARITY-LOSS TYPE FOR DISSIPATIVE TIMOSHENKO SYSTEM
- Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound
- Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
- Cauchy problems for linear thermoelastic systems of type III in one space variable
- A nonexistence result to a Cauchy problem in nonlinear one-dimensional thermoelasticity
- L2-blowup estimates of the wave equation and its application to local energy decay
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