Exponential decay in one-dimensional porous-thermo-elasticity

Mechanics Research Communications

Volumn 32, Issue 6, 2005, Pages 652-658

  Casas, Pablo S ^a   Quintanilla, Ramón ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Exponential decay; Porous thermo elasticity

Indexed keywords

DAMPING; HEAT TRANSFER; NUMERICAL METHODS; POROSITY; PROBLEM SOLVING; VISCOSITY;

EXPONENTIAL DECAY; POROUS STRUCTURE; POROUS-THERMO-ELASTICITY; THERMAL DISSIPATION;

THERMOELASTICITY;

EID: 22944468148     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2005.02.015     Document Type: Article

References (21)

1. P.S. Casas, and R. Quintanilla Exponential stability in thermoelasticity with microtemperatures Int. J. Eng. Sci. 43 2005 33 47
2. Ciarletta, M., Iesan, D., 1993. Non-classical elastic solids. Pitman Research Notes in Mathematics Series 293, New York
3. S.C. Cowin The viscoelastic behavior of linear elastic materials with voids J. Elasticity 15 1985 185 191
4. S.C. Cowin, and J.W. Nunziato Linear elastic materials with voids J. Elasticity 13 1983 125 147
5. D. Iesan A theories of thermoelastic materials with voids Acta Mech. 60 1986 67 89
6. D. Iesan, and R. Quintanilla Decay estimates and energy bounds for porous elastic cylinders J. Appl. Math. Phys. (ZAMP) 46 1995 268 281
7. S. Jiang Global solution of the Neumann problem in one-dimensional thermoelasticity Nonlinear Anal. 19 1992 107 121
8. S. Jiang, and R. Racke Evolution equations in thermoelasticity 2000 Chapman and Hall/CRC Boca Raton
9. G. Lebeau, and E. Zuazua Decay rates for the three-dimensional linear systems of ther moelasticity Arch. Ration. Mech. Anal. 141 1999 297 329
10. Z. Liu, and S. Zheng Semigroups associated with dissipative systems 1999 Chapman and Hall/CRC Boca Raton
11. Martínez, F., Quintanilla, R., 1995. Existence and uniqueness of solutions to the equations of the incremental thermoelasticity with voids. In: M.M. Marques, J.F. Rodrigues (Eds.), Trends in applications of mathematics to mechanics Pitman Monographs and Surveys in Pure and Applied Mathematics, pp. 45-56
12. J. Muñoz-Rivera Energy decay rate in linear thermoelasticity Funkcial Ekvac. 35 1992 19 30
13. W. Nunziato, and S.C. Cowin A nonlinear theory of elastic materials with voids Arch. Ration. Mech. Anal. 72 1979 175 201
14. R. Quintanilla Uniqueness in nonlinear theory of porous elastic materials Archiv. Mech. 49 1997 67 75
15. R. Quintanilla On uniqueness and continuous dependence in the nonlinear theory of mixtures of elastic solids with voids Math. Mech. Solids 6 2001 281 298
16. R. Quintanilla Slow decay for one-dimensional porous dissipation elasticity Appl. Math. Lett. 16 2003 487 491
17. R. Quintanilla, and R. Racke Stability for thermoelasticity of type III Discrete Contin. Dyn. Syst., B 3 2003 383 400
18. R. Racke Thermoelasticity with second sound-exponential stability in linear and non-linear 1-d Math. Meth. Appl. Sci. 25 2002 409 441
19. M. Slemrod Global existence, uniqueness and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity Arch. Ration. Mech. Anal. 76 1981 97 133
20. A. Wyler Stability of wave equation with dissipative boundary conditions in a bounded domain Diff. Integral Equat. 7 1994 345 366
21. X. Zhang, and E. Zuazua Decay of solutions of the system of thermoelasticity of type III Commun. Contemp. Math. 5 2003 25 83