Spatial behaviour of solutions of the Moore-Gibson-Thompson equation
DOI10.1007/S00021-021-00629-4zbMath1493.76088OpenAlexW3207799524MaRDI QIDQ2244888
Martin Ostoja-Starzewski, Ramón Quintanilla
Publication date: 12 November 2021
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-021-00629-4
exponential decaydomain of influenceMoore-Gibson-Thompson equationhyperbolic linear equationspatial estimate
PDEs in connection with fluid mechanics (35Q35) Thermal effects in solid mechanics (74F05) Hydro- and aero-acoustics (76Q05) Elastic materials (74B99) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Moore-Gibson-Thompson equation with memory. I: Exponential decay of energy
- The Moore-Gibson-Thompson equation with memory in the critical case
- On the Green-Naghdi type III heat conduction model
- Moore-Gibson-Thompson equation with memory. II: General decay of energy.
- On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity
- Thermoelasticity without energy dissipation
- On Saint-Venant's principle in linear elastodynamics
- On a fourth-order equation of Moore-Gibson-Thompson type
- Spatial estimates for dynamical problems in several elasticity theories
- On uniqueness and instability for some thermomechanical problems involving the Moore-Gibson-Thompson equation
- 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
- Spatial behavior in phase-lag heat conduction.
- Thermoelasticity with Finite Wave Speeds
- Spatial behavior in high‐order partial differential equations
- 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
- Spatial behaviour of solutions of the dual‐phase‐lag heat equation
- A unified procedure for construction of theories of deformable media. I. Classical continuum physics
- Moore–Gibson–Thompson thermoelasticity
- Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
This page was built for publication: Spatial behaviour of solutions of the Moore-Gibson-Thompson equation