On the backward in time problem for the thermoelasticity with two temperatures
DOI10.3934/DCDSB.2014.19.679zbMath1282.35380OpenAlexW2014221907MaRDI QIDQ2438871
M. Carme Leseduarte, Ramón Quintanilla
Publication date: 7 March 2014
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2014.19.679
existenceenergy argumentscontinuous dependencebackward in time problemspatial growth/decay of solutionsType III with two temperatures thermoelasticity
Stability in context of PDEs (35B35) Thermal effects in solid mechanics (74F05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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Cites Work
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- Phragmén-Lindelöf alternative of exponential type for the solutions of a fourth order dispersive equation
- On uniqueness and continuous dependence in type III thermoelasticity
- Heat waves.
- Energy decay rate of a mixed type II and type III thermoelastic system
- On the time decay of solutions in porous-thermo-elasticity of type II
- On thermoelastic bodies with inner structure and microtemperatures
- Ill-posed problems in thermomechanics
- Thermoelasticity without energy dissipation
- Convergence and structural stability in thermoelasticity.
- Spatial and continuous dependence estimates in linear viscoelasticity.
- Phragmén-Lindelöf alternative for an exact heat conduction equation with delay
- Nonclassical dynamical thermoelasticity
- On the exponential decay in thermoelasticity without energy dissipation and of type III in the presence of an absorbing boundary
- On a theory of heat conduction involving two temperature
- On the thermodynamics of non-simple elastic materials with two temperatures
- Wave propagation in the two temperature theory of thermoelasticity
- Stability in thermoelasticity of type III
- Growth and uniqueness in thermoelasticity
- On the propagation of plane waves in type–III thermoelastic media
- Spatial decay estimates in transient heat conduction
- Well-posedness and decay estimates for Cauchy problems of linear thermoelastic systems of type III in 3-D
- Decay estimates for the constrained elastic cylinder of variable cross section
- Phragmén–Lindelöf alternative and continuous dependence-type results for the thermoelasticity of type III
- On the impossibility of localization in linear thermoelasticity
- Global existence for the three-dimensional thermoelastic equations of Type II
- Thermoelasticity with Finite Wave Speeds
- Spatial decay of transient end effects in functionally graded heat conducting materials
- A unified procedure for construction of theories of deformable media. I. Classical continuum physics
- Energy bounds for some non-standard problems in thermoelasticity
- Boundary stabilization of memory type in thermoelasticity of type III
- Thermopiezoelectricity without energy dissipation
- Damping of end effects in a thermoelastic theory
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