References
- Ames KA Straughan B 1997 Non-Standard and Improperly Posed Problems, Academic Press San Diego
- Bofill F Quintanilla R 2002 Uniqueness, growth and exponential stability in hyperbolic thermoelastic theories Manuscript
- Caviglia , G , Morro , A and Straughan , B . 1992 . Thermoelasticity at cryogenic temperatures . Int. Jl. Nonlin. Mech. , 27 : 251 – 263 .
- Chandrasekharaiah , DS . 1986 . Thermoelasticity with second sound: a review . Appl. Mech. Rev. , 39 : 355 – 376 .
- Chandrasekharaiah , DS . 1998 . Hyperbolic thermoelasticity: a review of recent literature . Appl. Mech. Rev. , 51 : 705 – 729 .
- Dreyer , W and Struchtrup , H . 1993 . Heat pulse experiments revisited . Continuum Mech. Thermodyn. , 5 : 3 – 50 .
- Franchi , F and Straughan , B . 1994 . Continuous dependence on the relaxation time and modelling, and unbounded growth in theories of heat conduction with finite propagation speeds, . J. Math. Anal. Appl. , 185 : 726 – 746 .
- Hetnarski , RB and Ignazack , J . 1999 . Generalized thermoelasticity . J. Thermal Stresses , 22 : 451 – 470 .
- Jou D Casas-Vazquez J Lebon G 1996 Extended Irreversible Thermodynamics, Springer-Verlag Berlin
- Jou , D and Criado-Sancho , M . 1998 . Thermoedynamic stability and temperature overshooting in dual-phase-lag heat transfer . Physics Letters A , 248 : 172 – 178 .
- Lord , HW and Shulman , Y . 1967 . A generalized dynamical theory of thermoelasticity . J. Mech. Phys. Solids , 15 : 299 – 309 .
- Muller I Ruggeri T 1998 Rational and Extended Thermodynamics, Springer-Verlag New-York
- Payne , LE and Song , JC . 1997 . Continuous dependence on the initial-time geometry in generalized heat conduction . Math. Models Meth. Appl. Scie. , 7 : 125 – 138 .
- Payne , LE and Straughan , B . 1998 . Structural stability for the Darcy equations of flow in porous media . Proc. Roy. Soc. London A , 454 : 1691 – 1698 .
- Payne , LE and Straughan , B . 1999 . Convergence and continuous dependence for the Brinkman-Forchheimer equations . Stud. Appl. Math. , 102 : 419 – 439 .
- Payne , LE and Straughan , B . 1999 . Convergence for the equations of Maxwell fluid . Stud. Appl. Math. , 103 : 267 – 278 .
- Payne , LE and Straughan , B . 1996 . Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media . Jour. Math. Pures Appl. , 75 : 225 – 271 .
- Payne , LE and Straughan , B . 1990 . Effects of errors in the initial-time geometry on the solution of the heat equation in an exterior domain . Quart. J. Mech. Appl. Math. , 43 : 75 – 86 .
- Quintanilla , R . 2002 . Exponential stability in the dual-phase-lag heat conduction theory . Journal of Non-equilibrium Thermodynamics , 27 : 217 – 227 .
- Quintanilla , R . 2003 . A condition on the delay parameters in the one-dimensional dual-phase-lag thermoelastic theory . J. Thermal Stresses , 26 : 713 – 721 .
- Racke , R . 2002 . Thermoelasticity with second sound-exponential stability in linear and non-linear 1-d . Math. Meth. Appl. Sci. , 25 : 409 – 441 .
- Tzou , DY . 1995 . A unified approach for heat conduction from macro to micro-scales . J. Heat Transfer , 117 : 8 – 16 .
- Tzou DY 1997 Macro-to Microscale Heat Transfer, the Lagging Behaviour, Taylor and Francis New York