Thermoelasticity with second sound-exponential stability in linear and non-linear 1-d

Mathematical Methods in the Applied Sciences

Volumn 25, Issue 5, 2002, Pages 409-441

  Racke, Reinhard ^a  

^a UNIVERSITY OF KONSTANZ   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; FOURIER TRANSFORMS; HEAT CONDUCTION; HEAT FLUX; HEATING; LINEAR EQUATIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PULSED LASER APPLICATIONS; THEOREM PROVING; THERMOELASTICITY;

CATTANEOS LAW; DIRECHLET BOUNDARY CONDITIONS; EXPONENTIAL STABILITY; GLOBAL EXISTENCE; HYPERBOLIC LINEAR SYSTEM;

ASYMPTOTIC STABILITY;

EID: 0037170972     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.298     Document Type: Article

References (23)

1. A generalized dynamical theory of thermoelasticity
2. On the constitutive relations for second sound in elastic solids
3. Computational approaches with applications to non-classical and classical thermomechanical problems
4. Hyperbolic thermoelasticity: A review of recent literature
5. Linear thermoelasticity
6. Evolution equations in thermoelasticity
7. Slow decay in linear thermoelasticity
8. Decay rates for the three-dimensional linear system of thermoelasticity
9. Asymptotic stability and global existence in thermoelasticity with symmetry
10. Thermoelastic wave induced by pulsed laser heating
11. Epicentral and near epicenter surface displacements on pulsed laser irradiated metallic surfaces
12. Optical field enhancement effects in laser assisted particle removal
13. On uniqueness and stability in generalized thermoelasticity
14. On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound
15. Energy decay rates in linear thermoelasticity
16. Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity
17. Some existence results in dynamical thermoelasticity. Part I. Nonlinear case
18. On a local in time solvability of the Neumann problem of quasilinear hyperbolic parabolic coupled systems
19. Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general realitivity
20. Development of singularities in solutions of the equations of nonlinear thermoelasticity
21. On formation of singularities in one-dimensional nonlinear thermoelasticity
22. Lebensdauer von klassischen Lösungen nichtlinearer Thermoelastizitätsgleichungen