Asymptotic behaviour of the energy in partially viscoelastic materials

Quarterly of Applied Mathematics

Volumn 59, Issue 3, 2001, Pages 557-578

  Munoz Rivera J E ^a   Salvatierra, A P ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Exponential decay; Localized damping; Materials with memory; Viscoelasticity

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; DAMPING; EQUATIONS OF MOTION;

VISCOELASTIC MATERIALS;

VISCOELASTICITY;

EID: 0035446908     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1848535     Document Type: Article

References (28)

1. Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary
2. An abstract Volterra equation with application to linear viscoelasticity
3. Equipartition of energy in linearized 3-d viscoelasticity
4. The effect of the boundary damping for the quasilinear wave equation
5. Uniform decay of weak solutions to a von Kármán plate with nonlinear boundary dissipation
6. A direct method for the boundary stabilization of the wave equation
7. Rapid boundary stabilization of the wave equation
8. Asymptotic energy estimates for Kirchhoff plates subject to weak viscoelastic damping
9. Exact controllability and uniform stabilization of Euler-Bernoulli equations with boundary control only in Δω|∑
10. Global uniform decay rates for the solution to the wave equation with nonlinear boundary conditions
11. Exponential decay rates for the solutions of Euler-Bernoulli equations with boundary dissipation occurring in the moments only
12. Exponential decay of energy of the Euler-Bernoulli beam with locally distributed Kelvin-Voigt damping
13. Asymptotic behaviour in linear viscoelasticity
14. Global smooth solution for the Cauchy problem in nonlinear viscoelasticity
15. Stability in inhomogeneous and anisotropic thermoelasticity
16. Decay of solutions of the wave equation with a local nonlinear dissipation
17. A stretched string equation with a boundary dissipation
18. Boundary stabilization for the von Kármán equation
19. Global existence for the full von Kármán system
20. Solution of the wave equation with localized energy
21. Gaussian beams and propagation of singularities
22. 0-semigroups
23. Mathematical problems in viscoelasticity
24. Global smooth solutions to the system of one-dimensional thermoelasticity with dissipation boundary conditions
25. Exponential decay for the semilinear wave equation with locally distributed damping
26. Uniform stabilization of the wave equation by nonlinear wave equation boundary feed-back