On the dissipativity of a hyperbolic phase-field system with memory

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 5, 2001, Pages 3157-3169

  Grasselli, M ^a,b   Pata, V ^a,b  

^a POLITECNICO DI MILANO   (Italy)

^b NONE

Author keywords

Compact attractors; Materials with memory; Phase field models; Uniform absorbing sets; Uniform energy estimates

Indexed keywords

HEAT LOSSES; MATHEMATICAL MODELS;

HEAT CONDUCTION LAW;

HEAT CONDUCTION;

EID: 0035420282     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00433-3     Document Type: Article

References (23)

1. Existence and asymptotic results for a system of integropartial differential equations
2. Nonautonomous evolution equations and their attractors
3. Attractors of non-autonomous dynamical systems and their dimension
4. Non-autonomous evolutionary equations with translation compact symbols and their attractor
5. Equipresence and constitutive equations for rigid heat conductors
6. Existence and stabilization of solutions to the phase-field model with memory
7. Uniqueness of weak solutions to the phase-field model with memory
8. Global smooth solution to the standard phase-field model with memory
9. Well-posedness of the weak formulation for the phase-field model with memory
10. Asymptotic stability in viscoelasticity
11. Well-posedness and longtime behavior of the phase-field model with memory in a history space setting
12. Uniform attractors for a phase-field model with memory and quadratic nonlinearity
13. Asymptotic behavior of a semilinear problem in heat conduction with memory
14. A general theory of heat conduction with finite wave speeds
15. Asymptotic behavior of dissipative systems
16. Systèmes dynamiques dissipatifs et applications
17. Semigroups associated with dissipative systems