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Volumn 39, Issue 11-12, 2004, Pages 1413-1422

A diffusive-hyperbolic model for heat conduction

Author keywords

Hyperbolic system; Nonlinear wave propagation; Rigid heat conductor; Thermodynamics with internal state variables

Indexed keywords


EID: 5444228522     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2004.06.015     Document Type: Article
Times cited : (5)

References (36)
  • 4
    • 0001194946 scopus 로고    scopus 로고
    • Hyperbolic thermoelasticity: A review of recent literature
    • D.S. Chandrasekharaiah Hyperbolic thermoelasticity: A review of recent literature Appl. Mech. Rev. 51 1998 705 729
    • (1998) Appl. Mech. Rev. , vol.51 , pp. 705-729
    • Chandrasekharaiah, D.S.1
  • 7
    • 0023105447 scopus 로고
    • Second sound and internal energy in solids
    • A. Morro, and T. Ruggeri Second sound and internal energy in solids Int. J. Non-Linear Mech. 22 1987 27 36
    • (1987) Int. J. Non-Linear Mech. , vol.22 , pp. 27-36
    • Morro, A.1    Ruggeri, T.2
  • 8
    • 0000984503 scopus 로고
    • Non-equilibrium semi-empirical temperature in materials with thermal relaxation
    • V.A. Cimmelli, and W. Kosiński Non-equilibrium semi-empirical temperature in materials with thermal relaxation Arch. Mech. 43 1991 753 767
    • (1991) Arch. Mech. , vol.43 , pp. 753-767
    • Cimmelli, V.A.1    Kosiński, W.2
  • 9
    • 0029229919 scopus 로고
    • Numerical reconstruction of heat pulse experiments
    • K. Frischmuth, and V.A. Cimmelli Numerical reconstruction of heat pulse experiments Int. J. Engng. Sci. 33 1995 209 215
    • (1995) Int. J. Engng. Sci. , vol.33 , pp. 209-215
    • Frischmuth, K.1    Cimmelli, V.A.2
  • 10
    • 0032142874 scopus 로고    scopus 로고
    • Thermodynamics of anisotropic solids near absolute zero
    • V.A. Cimmelli Thermodynamics of anisotropic solids near absolute zero Mathl. Comput. Modelling 28 3 1998 79 89
    • (1998) Mathl. Comput. Modelling , vol.28 , Issue.3 , pp. 79-89
    • Cimmelli, V.A.1
  • 11
    • 0020297647 scopus 로고
    • The thermodynamics of the second sound in dielectric crystals
    • B.D. Coleman, M. Fabrizio, and D.R. Owen The thermodynamics of the second sound in dielectric crystals Arch. Ration. Mech. Anal. 80 1982 135 158
    • (1982) Arch. Ration. Mech. Anal. , vol.80 , pp. 135-158
    • Coleman, B.D.1    Fabrizio, M.2    Owen, D.R.3
  • 13
    • 3242828406 scopus 로고    scopus 로고
    • Qualitative analysis of semilinear Cattaneo systems
    • T. Hillen Qualitative analysis of semilinear Cattaneo systems Math. Models Meth. Appl. Sci. 8 1998 507 519
    • (1998) Math. Models Meth. Appl. Sci. , vol.8 , pp. 507-519
    • Hillen, T.1
  • 14
    • 0036057673 scopus 로고    scopus 로고
    • Hyperbolic models for chemosensitive movement
    • T. Hillen Hyperbolic models for chemosensitive movement Math. Models Meth. Appl. Sci. 12 2002 1007 1034
    • (2002) Math. Models Meth. Appl. Sci. , vol.12 , pp. 1007-1034
    • Hillen, T.1
  • 16
    • 0015746230 scopus 로고
    • Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method
    • C.M. Dafermos Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method Arch. Rat. Mech. Anal. 52 1973 1 9
    • (1973) Arch. Rat. Mech. Anal. , vol.52 , pp. 1-9
    • Dafermos, C.M.1
  • 17
    • 0002578353 scopus 로고
    • Convergence of the viscosity method for isentropic gas dynamics
    • R.J. Di Perna Convergence of the viscosity method for isentropic gas dynamics Commun. Math. Phys. 91 1983 1 30
    • (1983) Commun. Math. Phys. , vol.91 , pp. 1-30
    • Di Perna, R.J.1
  • 19
    • 0001235241 scopus 로고
    • Gradient generalization to internal state variable approach
    • W. Kosiński, and W. Wojno Gradient generalization to internal state variable approach Arch. Mech. 47 1995 523 536
    • (1995) Arch. Mech. , vol.47 , pp. 523-536
    • Kosiński, W.1    Wojno, W.2
  • 20
    • 0346854065 scopus 로고    scopus 로고
    • On parabolic regularization of hyperbolic heat conductivity in rigid body
    • W. Kosiński, and W. Wojno On parabolic regularization of hyperbolic heat conductivity in rigid body J. Theoret. Appl. Mech. 34 1996 67 76
    • (1996) J. Theoret. Appl. Mech. , vol.34 , pp. 67-76
    • Kosiński, W.1    Wojno, W.2
  • 21
    • 0028602836 scopus 로고
    • Thermodynamics with internal variables. Part I. General concepts
    • G.A. Maugin, and W. Muschik Thermodynamics with internal variables. Part I. General concepts J. Non-Equilib. Thermodyn. 19 1994 217 249
    • (1994) J. Non-Equilib. Thermodyn. , vol.19 , pp. 217-249
    • Maugin, G.A.1    Muschik, W.2
  • 22
    • 0028581290 scopus 로고
    • Thermodynamics with internal variables. Part II. Applications
    • G.A. Maugin, and W. Muschik Thermodynamics with internal variables. Part II. Applications J. Non-Equilib. Thermodyn. 19 1994 250 289
    • (1994) J. Non-Equilib. Thermodyn. , vol.19 , pp. 250-289
    • Maugin, G.A.1    Muschik, W.2
  • 25
    • 34147165059 scopus 로고
    • Internal variables and dissipative structures
    • G.A. Maugin Internal variables and dissipative structures J. Non-Equilib. Thermodyn. 15 1990 173 192
    • (1990) J. Non-Equilib. Thermodyn. , vol.15 , pp. 173-192
    • Maugin, G.A.1
  • 26
    • 0029694917 scopus 로고    scopus 로고
    • A gradient theory of internal variables
    • K.C. Valanis A gradient theory of internal variables Acta Mechanica 116 1996 1 14
    • (1996) Acta Mechanica , vol.116 , pp. 1-14
    • Valanis, K.C.1
  • 27
    • 0000513613 scopus 로고
    • Thermal conductivity, second sound, and phonon-phonon interactions in NaF
    • H.E. Jackson, and C.T. Walker Thermal conductivity, second sound, and phonon-phonon interactions in NaF Phys. Rev. Lett. 3 1971 1428 1439
    • (1971) Phys. Rev. Lett. , vol.3 , pp. 1428-1439
    • Jackson, H.E.1    Walker, C.T.2
  • 28
    • 35949032687 scopus 로고
    • Observation of second sound in Bismuth
    • V. Narayanamurti, and R.D. Dynes Observation of second sound in Bismuth Phys. Rev. Lett. 28 1972 1401 1464
    • (1972) Phys. Rev. Lett. , vol.28 , pp. 1401-1464
    • Narayanamurti, V.1    Dynes, R.D.2
  • 31
    • 0000938081 scopus 로고
    • Shock waves and second sound in a rigid heat conductor: A critical temperature for NaF and Bi
    • T. Ruggeri, A. Muracchini, and L. Seccia Shock waves and second sound in a rigid heat conductor: A critical temperature for NaF and Bi Phys. Rev. Lett. 64 1990 2640 2643
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 2640-2643
    • Ruggeri, T.1    Muracchini, A.2    Seccia, L.3
  • 32
    • 51249168421 scopus 로고
    • Continuum approach to phonon gas and shape changes of second sound via shock waves theory
    • T. Ruggeri, A. Muracchini, and L. Seccia Continuum approach to phonon gas and shape changes of second sound via shock waves theory Il Nuovo Cimento 16D 1994 15 44
    • (1994) Il Nuovo Cimento , vol.16 , pp. 15-44
    • Ruggeri, T.1    Muracchini, A.2    Seccia, L.3
  • 33
    • 0015976463 scopus 로고
    • A mathematical foundation for thermodynamics
    • B.D. Coleman, and D.R. Owen A mathematical foundation for thermodynamics Arch. Rat. Mech. Anal. 54 1974 1 104
    • (1974) Arch. Rat. Mech. Anal. , vol.54 , pp. 1-104
    • Coleman, B.D.1    Owen, D.R.2
  • 34
    • 36849104050 scopus 로고
    • Thermodynamics with internal state variables
    • B.D. Coleman, and M.E. Gurtin Thermodynamics with internal state variables J. Chem. Phys. 47 1967 597 613
    • (1967) J. Chem. Phys. , vol.47 , pp. 597-613
    • Coleman, B.D.1    Gurtin, M.E.2
  • 35
    • 0002757933 scopus 로고    scopus 로고
    • Second sound and characteristic temperature in solids
    • T. Ruggeri, A. Muracchini, and L. Seccia Second sound and characteristic temperature in solids Phys. Rev. B 54 1996 332 339
    • (1996) Phys. Rev. B , vol.54 , pp. 332-339
    • Ruggeri, T.1    Muracchini, A.2    Seccia, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.