메뉴 건너뛰기




Volumn 2, Issue , 1999, Pages

Speeds of propagation in classical and relativistic extended thermodynamics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84943156443     PISSN: 23673613     EISSN: 14338351     Source Type: Journal    
DOI: 10.12942/lrr-1999-1     Document Type: Article
Times cited : (64)

References (51)
  • 1
    • 0001675291 scopus 로고
    • Sur lexistence et la recherche d’équations de conservation supplementaires pour les hyperbolique
    • Boillat, G., “Sur l’existence et la recherche d’équations de conservation supplementaires pour les hyperbolique.”, C. R. Acad. Sci. Ser. A, 278, (1974).3.2
    • (1974) C. R. Acad. Sci. Ser. A
    • Boillat, G.1
  • 2
    • 0038903004 scopus 로고
    • Wave velocities in relativistic extended thermodynamics
    • Müller, I., and Ruggeri, T., eds, May 18 – 20, Pitagora Editrice, Bologna, 1987). 1
    • Boillat, G., “Wave velocities in relativistic extended thermodynamics”, in Müller, I., and Ruggeri, T., eds., Kinetic Theory and Extended Thermodynamics, Proceedings of the ISIMM Symposium, Bologna, May 18 – 20, 1987, (Pitagora Editrice, Bologna, 1987). 1
    • (1987) Kinetic Theory and Extended Thermodynamics, Proceedings of the ISIMM Symposium, Bologna
    • Boillat, G.1
  • 4
    • 0031331292 scopus 로고    scopus 로고
    • Hyperbolic Principal Subsystems: Entropy Convexity and Subcharacteristic Conditions
    • Boillat, G., and Ruggeri, T., “Hyperbolic Principal Subsystems: Entropy Convexity and Subcharacteristic Conditions”, Arch. Ration. Mech. Anal., 137, 305–320, (1997).[DOI]. 1
    • (1997) Arch. Ration. Mech. Anal , vol.137 , pp. 305-320
    • Boillat, G.1    Ruggeri, T.2
  • 5
    • 0031519460 scopus 로고    scopus 로고
    • Moment equations in the kinetic theory of gases and wave velocities
    • Boillat, G., and Ruggeri, T., “Moment equations in the kinetic theory of gases and wave velocities”, Continuum Mech. Thermodyn., 9, 205–212, (1997).[DOI]. 1, 3.6
    • (1997) Continuum Mech. Thermodyn , vol.9 , pp. 205-212
    • Boillat, G.1    Ruggeri, T.2
  • 6
    • 0033445708 scopus 로고    scopus 로고
    • Maximum wave velocity in the moments system of a relativistic gas
    • Boillat, G., and Ruggeri, T., “Maximum wave velocity in the moments system of a relativistic gas”, Continuum Mech. Thermodyn., 11, 107–111, (1999).[DOI]. 1, 4.4
    • (1999) Continuum Mech. Thermodyn , vol.11 , pp. 107-111
    • Boillat, G.1    Ruggeri, T.2
  • 8
    • 0040923788 scopus 로고
    • Speed of propagation of infinitesimal disturbances in a relativistic gas
    • Cercignani, C., “Speed of propagation of infinitesimal disturbances in a relativistic gas”, Phys. Rev. Lett., 50, 1122–1124, (1983).[DOI]. 1
    • (1983) Phys. Rev. Lett , vol.50 , pp. 1122-1124
    • Cercignani, C.1
  • 9
    • 0039145467 scopus 로고
    • Analysis of thermal and shear waves according to BKG kinetic model
    • Cercignani, C., and Majorana, A., “Analysis of thermal and shear waves according to BKG kinetic model”, Z. Angew. Math. Phys., 36, 699–711, (1985).[DOI]. 1
    • (1985) Z. Angew. Math. Phys , vol.36 , pp. 699-711
    • Cercignani, C.1    Majorana, A.2
  • 10
    • 0000917959 scopus 로고
    • The relativistic gas in the gravitational field
    • Chernikov, N.A., “The relativistic gas in the gravitational field”, Acta Phys. Pol., 23, 629–645, (1963).4
    • (1963) Acta Phys. Pol , vol.23 , pp. 629-645
    • Chernikov, N.A.1
  • 11
    • 0009148363 scopus 로고
    • Equilibrium distribution of the relativistic gas
    • Chernikov, N.A., “Equilibrium distribution of the relativistic gas”, Acta Phys. Pol., 26, 1069–1092, (1964).4
    • (1964) Acta Phys. Pol , vol.26 , pp. 1069-1092
    • Chernikov, N.A.1
  • 12
    • 0010680366 scopus 로고
    • Microscopic foundation of relativistic hydrodynamics
    • Chernikov, N.A., “Microscopic foundation of relativistic hydrodynamics”, Acta Phys. Pol., 27, 465–489, (1965).4
    • (1965) Acta Phys. Pol , vol.27 , pp. 465-489
    • Chernikov, N.A.1
  • 14
    • 36149016986 scopus 로고
    • The Thermodynamics of Irreversible Processes. I. The Simple Fluid
    • Eckart, C., “The Thermodynamics of Irreversible Processes. I. The Simple Fluid”, Phys. Rev., 58, 267–269, (1940).[DOI]. 1
    • (1940) Phys. Rev , vol.58 , pp. 267-269
    • Eckart, C.1
  • 15
    • 4243834118 scopus 로고
    • The Thermodynamics of Irreversible Processes. II. Fluid Mixtures
    • Eckart, C., “The Thermodynamics of Irreversible Processes. II. Fluid Mixtures”, Phys. Rev., 58, 269–275, (1940).[DOI]. 1
    • (1940) Phys. Rev , vol.58 , pp. 269-275
    • Eckart, C.1
  • 16
    • 36149018859 scopus 로고
    • The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid
    • Eckart, C., “The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid”, Phys. Rev., 58, 919–924, (1940).[DOI]. 1
    • (1940) Phys. Rev , vol.58 , pp. 919-924
    • Eckart, C.1
  • 17
    • 84980187409 scopus 로고
    • On the laws of relativistic electro-magneto-fluid dynamics”
    • Friedrichs, K.O., “On the laws of relativistic electro-magneto-fluid dynamics”, Commun. Pure Appl. Math., 27, 749–808, (1974).4.2
    • (1974) Commun. Pure Appl. Math , vol.27 , pp. 749-808
    • Friedrichs, K.O.1
  • 18
    • 0001380483 scopus 로고
    • Systems of Conservation Equations with a Convex Extension
    • Friedrichs, K.O., and Lax, P.D., “Systems of Conservation Equations with a Convex Extension”, Proc. Natl. Acad. Sci. USA, 68, 1686–1688, (1971). [DOI]. 3.2
    • (1971) Proc. Natl. Acad. Sci. USA , vol.68 , pp. 1686-1688
    • Friedrichs, K.O.1    Lax, P.D.2
  • 19
    • 0001631730 scopus 로고
    • An interesting class of quasi-linear systems
    • Godunov, S.K., “An interesting class of quasi-linear systems”, Sov. Math. Dokl., 2, 947–949, (1961).3.2
    • (1961) Sov. Math. Dokl , vol.2 , pp. 947-949
    • Godunov, S.K.1
  • 21
    • 49549126893 scopus 로고
    • Nonstationary irreversible thermodynamics: A causal relativistic theory
    • Israel, W., “Nonstationary irreversible thermodynamics: A causal relativistic theory”, Ann. Phys. (N.Y.), 100, 310–331, (1976).[DOI]. 1
    • (1976) Ann. Phys. (N.Y.) , vol.100 , pp. 310-331
    • Israel, W.1
  • 22
    • 84973242902 scopus 로고
    • Das Maxwellsche Gesetz der Geschwindigkeitsverteilung in der Relativtheorie
    • Jüttner, F., “Das Maxwellsche Gesetz der Geschwindigkeitsverteilung in der Relativtheorie”, Ann. Phys. (Leipzig), 339, 856–882, (1911).[DOI]. 5.5
    • (1911) Ann. Phys. (Leipzig) , vol.339 , pp. 856-882
    • Jüttner, F.1
  • 23
    • 0001416703 scopus 로고
    • Die relativistische Quantentheorie des idealen Gases
    • Jüttner, F., “Die relativistische Quantentheorie des idealen Gases”, Z. Phys., 47, 542–566, (1928).[DOI]. 5.5, 5.5
    • (1928) Z. Phys , vol.47 , pp. 542-566
    • Jüttner, F.1
  • 24
    • 0015489008 scopus 로고
    • Phase and signal velocities of waves in dissipative media. Special relativistic theory
    • Kranys, M., “Phase and signal velocities of waves in dissipative media. Special relativistic theory”, Arch. Ration. Mech. Anal., 48, 274–301, (1972).[DOI]. 1
    • (1972) Arch. Ration. Mech. Anal , vol.48 , pp. 274-301
    • Kranys, M.1
  • 26
    • 0001122670 scopus 로고
    • Extended thermodynamics of ideal gases with 14 fields
    • Related online version (cited on 25 May 2009)
    • Kremer, G.M., “Extended thermodynamics of ideal gases with 14 fields”, Ann. Inst. Henri Poincare A, 45, 419–440, (1986).Related online version (cited on 25 May 2009): http://www.numdam.org/item?id=AIHPA_1986__45_4_419_0. 1
    • (1986) Ann. Inst. Henri Poincare A , vol.45 , pp. 419-440
    • Kremer, G.M.1
  • 27
    • 0000258743 scopus 로고    scopus 로고
    • Dynamic pressure in relativistic thermodynamics
    • Related online version (cited on 25 May 2009):
    • Kremer, G.M., and Müller, I., “Dynamic pressure in relativistic thermodynamics”, Ann. Inst. Henri Poincare A, 67, 111–121, (1997).Related online version (cited on 25 May 2009): http://www.numdam.org/item?id=AIHPA_1997__67_2_111_0. 5.5
    • (1997) Ann. Inst. Henri Poincare A , vol.67 , pp. 111-121
    • Kremer, G.M.1    Müller, I.2
  • 28
    • 0032221663 scopus 로고    scopus 로고
    • Linearized Burnett equation for the dynamic pressure of a relativistic gas
    • Kremer, G.M., and Müller, I., “Linearized Burnett equation for the dynamic pressure of a relativistic gas”, Continuum Mech. Thermodyn., 10, 49–53, (1998).[DOI]. 5.5
    • (1998) Continuum Mech. Thermodyn , vol.10 , pp. 49-53
    • Kremer, G.M.1    Müller, I.2
  • 29
    • 0347365243 scopus 로고
    • Propriétés statistiques des ensembles de particules en relativité restreinte
    • Lichnerowicz, A., and Marrot, R., “Propriétés statistiques des ensembles de particules en relativité restreinte”, C. R. Acad. Sci., 210, 759–761, (1940).4
    • (1940) C. R. Acad. Sci , vol.210 , pp. 759-761
    • Lichnerowicz, A.1    Marrot, R.2
  • 30
    • 34250446889 scopus 로고
    • Method of Lagrange multipliers for exploitation of the entropy principle
    • Liu, I.-S., “Method of Lagrange multipliers for exploitation of the entropy principle”, Arch. Ration. Mech. Anal., 46, 131–148, (1972).[DOI]. 2.3
    • (1972) Arch. Ration. Mech. Anal , vol.46 , pp. 131-148
    • Liu, I.-S.1
  • 31
    • 0000615941 scopus 로고
    • Relativistic thermodynamics of gases
    • Liu, I.-S., Müller, I., and Ruggeri, T., “Relativistic thermodynamics of gases”, Ann. Phys. (N.Y.), 169, 191–219, (1986).[DOI]. 1, 5.2
    • (1986) Ann. Phys. (N.Y.) , vol.169 , pp. 191-219
    • Liu, I.-S.1    Müller, I.2    Ruggeri, T.3
  • 32
    • 0001822894 scopus 로고
    • Sur létablissement des équations de l’hydrodynamique des fluides relativistes dissipatifs. I. - L’équation de Boltzmann relativiste”
    • Related online version (cited on 25 May 2009), Part II: 10(2), 127–194, 1969. 4
    • Marle, C., “Sur l’établissement des équations de l’hydrodynamique des fluides relativistes dissipatifs. I. - L’équation de Boltzmann relativiste”, Ann. Inst. Henri Poincare A, 10(1), 67–126, (1969).Related online version (cited on 25 May 2009): http://www.numdam.org/item?id=AIHPA_1969__10_1_67_0. Part II: 10(2), 127–194, 1969. 4
    • (1969) Ann. Inst. Henri Poincare A , vol.10 , Issue.1 , pp. 67-126
    • Marle, C.1
  • 33
    • 0002550838 scopus 로고
    • On the Dynamical Theory of Gases
    • Maxwell, J.C., “On the Dynamical Theory of Gases”, Philos. Trans. R. Soc. London, 157, 49–88, (1867).[DOI]. 1
    • (1867) Philos. Trans. R. Soc. London , vol.157 , pp. 49-88
    • Maxwell, J.C.1
  • 34
    • 0000911805 scopus 로고
    • On Stresses in Rarified Gases Arising from Inequalities of Temperature
    • Maxwell, J.C., “On Stresses in Rarified Gases Arising from Inequalities of Temperature”, Philos. Trans. R. Soc. London, 170, 231–256, (1879).[DOI]. 1
    • (1879) Philos. Trans. R. Soc. London , vol.170 , pp. 231-256
    • Maxwell, J.C.1
  • 36
    • 0006989403 scopus 로고
    • On the entropy inequality
    • Müller, I., “On the entropy inequality”, Arch. Ration. Mech. Anal., 26, 118–141, (1967).[DOI]. 2.2
    • (1967) Arch. Ration. Mech. Anal , vol.26 , pp. 118-141
    • Müller, I.1
  • 37
    • 34250501801 scopus 로고
    • Zum Paradoxon der Wärmeleitungstheorie
    • Müller, I., “Zum Paradoxon der Wärmeleitungstheorie”, Z. Phys., 198, 329–344, (1967).[DOI]. 1
    • (1967) Z. Phys. , vol.198 , pp. 329-344
    • Müller, I.1
  • 38
    • 0041144954 scopus 로고
    • Toward relativistic thermodynamics
    • Müller, I., “Toward relativistic thermodynamics”, Arch. Ration. Mech. Anal., 34, 259–282, (1969).[DOI]. 2.2
    • (1969) Arch. Ration. Mech. Anal , vol.34 , pp. 259-282
    • Müller, I.1
  • 41
    • 0002173822 scopus 로고
    • Galilean invariance and entropy principle for systems of balance laws. The structure of extended thermodynamics
    • Ruggeri, T., “Galilean invariance and entropy principle for systems of balance laws. The structure of extended thermodynamics”, Continuum Mech. Thermodyn., 1, 3–20, (1989).[DOI]. 1
    • (1989) Continuum Mech. Thermodyn , vol.1 , pp. 3-20
    • Ruggeri, T.1
  • 42
    • 0009908394 scopus 로고
    • Convexity and symmetrization in relativistic theories
    • Ruggeri, T., “Convexity and symmetrization in relativistic theories”, Continuum Mech. Thermodyn., 2, 163–177, (1990).4
    • (1990) Continuum Mech. Thermodyn , vol.2 , pp. 163-177
    • Ruggeri, T.1
  • 43
    • 0001821191 scopus 로고
    • Main field and convex covariant density for quasi-linear hyperbolic systems: Relativistic fluid dynamics
    • Related online version (cited on 25 May 2009
    • Ruggeri, T., and Strumia, A., “Main field and convex covariant density for quasi-linear hyperbolic systems: Relativistic fluid dynamics”, Ann. Inst. Henri Poincare A, 34, 65–84, (1981).Related online version (cited on 25 May 2009): http://www.numdam.org/item?id=AIHPA_1981__34_1_65_0. 1, 3.2
    • (1981) Ann. Inst. Henri Poincare A , vol.34 , pp. 65-84
    • Ruggeri, T.1    Strumia, A.2
  • 44
    • 0007107764 scopus 로고
    • Wave propagation in relativistic extended thermodynamics
    • Seccia, L., and Strumia, A., “Wave propagation in relativistic extended thermodynamics”, Continuum Mech. Thermodyn., 2, 151–161, (1990).[DOI]. 1, 5.6
    • (1990) Continuum Mech. Thermodyn , vol.2 , pp. 151-161
    • Seccia, L.1    Strumia, A.2
  • 45
    • 0043236163 scopus 로고
    • Sound Propagation According to the Kinetic Theory of Gases
    • in Laurman, J.A., ed., Academic Press, New York
    • Sirovich, L., and Thurber, J.K., “Sound Propagation According to the Kinetic Theory of Gases”, in Laurman, J.A., ed., Rarefied Gas Dynamics, Vol. 1, Proceedings of the 3rd International Symposium, Paris 1962, p. 159, (Academic Press, New York, 1963).1
    • (1963) Rarefied Gas Dynamics , vol.1
    • Sirovich, L.1    Thurber, J.K.2
  • 46
    • 0017543143 scopus 로고
    • On transient relativistic thermodynamics and kinetic theory
    • Stewart, J.M., “On transient relativistic thermodynamics and kinetic theory”, Proc. R. Soc. London, Ser. A, 357, 59–75, (1977).[DOI]. 1
    • (1977) Proc. R. Soc. London, Ser. A , vol.357 , pp. 59-75
    • Stewart, J.M.1
  • 47
    • 0031185078 scopus 로고    scopus 로고
    • An Extended Moment Method in Radiative Transfer: The Matrices of Mean Absorption and Scattering Coefficients
    • Struchtrup, H., “An Extended Moment Method in Radiative Transfer: The Matrices of Mean Absorption and Scattering Coefficients”, Ann. Phys. (N.Y.), 257, 111–135, (1997).[DOI]. 1
    • (1997) Ann. Phys. (N.Y.) , vol.257 , pp. 111-135
    • Struchtrup, H.1
  • 50
    • 0000213514 scopus 로고
    • Continuous shock structure in extended thermodynamics
    • Weiss, W., “Continuous shock structure in extended thermodynamics”, Phys. Rev. E, 52, R5760–R5763, (1995).[DOI]. 1
    • (1995) Phys. Rev. E , vol.52
    • Weiss, W.1
  • 51
    • 0002430565 scopus 로고
    • Light scattering and extended thermodynamics
    • Weiss, W., and Müller, I., “Light scattering and extended thermodynamics”, Continuum Mech. Thermodyn., 7, 123–177, (1995).[DOI]. 1
    • (1995) Continuum Mech. Thermodyn , vol.7 , pp. 123-177
    • Weiss, W.1    Müller, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.