On frame indifferent formulation of the Maxwell–Cattaneo model of finite-speed heat conduction
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Antaki, 1995, Hotter than you think, Machine Design, 116
Bargmann, 2007, Classical results for a non-classical theory: remarks on thermodynamic relations in Green–Naghdi thermo-hyperelasticity, Continuum Mech. Thermodyn., 19, 59, 10.1007/s00161-007-0045-x
Bargmann, 2008, On the propagation of second sound in linear and nonlinear media: results from Green–Naghdi theory, Phys. Lett. A, 372, 4418, 10.1016/j.physleta.2008.04.010
Bird, 1987, Dynamics of Polymeric Liquids, vol. 1
Caviglia, 1992, Thermoelasticity at cryogenic temperatures, Int. J. Non-Linear Mech., 27, 251, 10.1016/0020-7462(92)90084-K
Chadwick, 1999
Chandrasekharaiah, 1998, Hyperbolic thermoelasticity: a review of recent literature, Appl. Mech. Rev., 51, 705, 10.1115/1.3098984
Christov, 2006, On the material invariant formulation of Maxwell’s displacement current, Found. Phys., 36, 1701, 10.1007/s10701-006-9075-7
Christov, C.I., 2007. On a higher-gradient generalization of Fourier’s law of heat conduction, In: AIP Conf. Proc., vol. 946. Amer. Inst. Physics, pp. 11–22.
Christov, 2005, Heat conduction paradox involving second sound propagation in moving media, Phys. Rev. Lett., 94, 154301, 10.1103/PhysRevLett.94.154301
Green, 1995, A unified procedure for construction of theories of deformable media. I. Classical continuum physics, Proc. R. Soc. Lond. A, 448, 335, 10.1098/rspa.1995.0020
Green, 1995, A unified procedure for construction of theories of deformable media. II. Generalized continua, Proc. R. Soc. Lond. A, 448, 357, 10.1098/rspa.1995.0021
Haupt, 2002
Jordan, 2008, A note on the delayed heat equation: instability with respect to initial data, Mech. Res. Commun., 35, 414, 10.1016/j.mechrescom.2008.04.001
Joseph, 1990, Addendum to the paper “Heat waves” [Rev. Mod. Phys. 61, 41 (1989)], Rev. Mod. Phys., 62, 375, 10.1103/RevModPhys.62.375
Jou, 1998, Extended irreversible thermodynamics revisited (1988–98), Rep. Prog. Phys., 62, 1035, 10.1088/0034-4885/62/7/201
Lebon, 1984, Bénard-Marangoni instability in Maxwell–Cattaneofluids, Physica A, 105, 361
Lovelock, 1989
Marsden, 1994
Oldroyd, 1949, On the formulation of rheological equations of state, Proc. Roy. Soc. A, 200, 523, 10.1098/rspa.1950.0035
Schrödinger, 1950
Straughan, 1984, Bénard convection and the Cattaneo law for heat conduction, Proc. Roy. Soc. Edinb., 96A, 175, 10.1017/S0308210500020564
Triffeault, 2001, Covariant time derivative for dynamical systems, J. Phys. A: Math. Gen., 34, 5875, 10.1088/0305-4470/34/29/309
Truesdell, 1977