Asymptotic behaviour and exponential stability for a transmission problem in thermoelasticity

Mathematical Methods in the Applied Sciences

Volumn 25, Issue 11, 2002, Pages 955-980

  Marzocchi, Alfredo ^a   Mut̃oz Rivera, Jaime E ^b   Naso, Maria Grazia ^c  

^a UNIVERSITÀ CATTOLICA DEL SACRO CUORE   (Italy)

^b LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

^c UNIVERSITY OF BRESCIA   (Italy)

Author keywords

Absorbing set; Asymptotic behaviour; Exponential decay; Simultaneous stabilization; Thermoelasticity; Transmission problem

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; DAMPING; FRICTION; FUNCTIONS; INTEGRAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING; WAVE EQUATIONS;

FRICTIONAL DAMPING; SEMILINEAR TRANSMISSION PROBLEMS;

THERMOELASTICITY;

EID: 0037173601     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.323     Document Type: Article

References (28)

1. Exponential energy decay in a linear thermoelastic rod
2. Rapid boundary stabilization of the wave equation
3. A stretched string equation with a boundary dissipation
4. Decay of solutions of the wave equation with a local nonlinear dissipation
5. Decay of solutions of the wave equation with a local degenerate dissipation
6. Exponential decay for the semilinear wave equation with locally distributed damping
7. Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary
8. On the energy decay of a linear thermoelastic bar
9. The effect of the boundary damping for the quasilinear wave equation
10. On the essential spectrum of a semigroup of thermoelasticity
11. Global solutions of the Neumann problem in one-dimensional nonlinear thermoelasticity
12. On the Neumann problem of one-dimensional nonlinear thermoelasticity with time- independent external forces
13. On the energy decay of a linear thermoelastic bar and plate
14. Exponential stability of semigroup associated with thermoelastic system
15. Energy decay rates in linear thermoelasticity
16. Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity
17. Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
18. On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
19. On the time-asymptotic behaviour of solutions in thermoelasticity
20. Topics in analysis. Non-decay of thermoelastic vibrations in dimension ≥ 3
21. Exponential decay for a class of initial boundary value problems in thermoelasticity
22. Asymptotic stability and global existence in thermoelasticity with symmetry
23. Exponential stability in linear thermoelasticity: The inhomogeneous case
24. Linear thermoelasticity
25. Decay estimates for some semilinear damped hyperbolic problems