Heat conduction paradox involving second-sound propagation in moving media

Physical Review Letters

Volumn 94, Issue 15, 2005, Pages

  Christov, C I ^a   Jordan, P M ^b  

^a UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

^b NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT CONDUCTION PARADOX; MAXWELL CATTANEO LAW; MOVING MEDIA; TRANSPORT EQUATIONS;

ACOUSTIC WAVE PROPAGATION; APPROXIMATION THEORY; BESSEL FUNCTIONS; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; HEAT FLUX; PROBLEM SOLVING; WAVE EQUATIONS;

HEAT CONDUCTION;

EID: 18144400068     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.154301     Document Type: Article

References (20)

1. D. D. Joseph and L. Preziosi, Rev. Mod. Phys. 61, 41 (1989); 62, 375 (1990).
2. D. D. Joseph and L. Preziosi, Rev. Mod. Phys. 61, 41 (1989); 62, 375 (1990).
3. D. S. Chandrasekharaiah, Appl. Mech. Rev. 39, 355 (1986); 51, 705 (1998).
4. D. S. Chandrasekharaiah, Appl. Mech. Rev. 39, 355 (1986); 51, 705 (1998).
5. W. Dreyer and H. Struchtrup, Continuum Mech. Thermodyn. 5, 3 (1993).
6. W. M. Lai, D. Rubin, and E. Krempl, Introduction to Continuum Mechanics (Pergamon Press, New York, 1974).
7. D. Jou, J. Casas-Vázquez, and G. Lebon, Rep. Prog. Phys. 62, 1035 (1999).
8. G. Caviglia, A. Morro, and B. Straughan, Int. J. Non-Linear Mech. 27, 251 (1992).
9. P. J. Antaki, Machine Design July 13 issue, 116 (1995).
10. S. Lepri, R. Livi, and A. Politi, Phys. Rep. 377, 1 (2003).
11. B. Li et al., Phys. Rev. Lett. 92, 254301 (2004).
12. F. Bonetto, J. L. Lebowitz, and L. Rey-Bellet, in Mathematical Physics 2000, edited by A. S. Fokas et al. (Imperial College Press, London, 2000), pp. 128-150.
13. B. Li and J. Wang, Phys. Rev. Lett. 91, 044301 (2003).
14. D. G. Cahill et al., J. Appl. Phys. 93, 793 (2003).
15. R. E. Mickens and P. M. Jordan, Numer. Methods Partial Differ. Equ. 20, 639 (2004).
16. H. S. Carslaw and J. C. Jaeger, Operational Methods in Applied Mathematics (Dover, New York, 1963), 2nd ed.
17. D. J. Griffiths, Introduction to Electrodynamics (Prentice-Hall, Englewood Cliffs, NJ, 1989), 2nd ed., Chap. 10.
18. T. Levi-Civita, The Absolute Differential Calculus (Dover, New York, 1997), p. 349.
19. C. I. Christov, Wave Motion 34, 161 (2001).
20. C. I. Christov, in Differential Equations and Nonlinear Mechanics, edited by K. Vajravelu (Kluwer, Boston, 2001), pp. 49-68.