메뉴 건너뛰기




Volumn 14, Issue 2, 2002, Pages 165-189

Entropy principle for the moment systems of degree α associated to the Boltzmann equation. Critical derivatives and non controllable boundary data

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036557456     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001610100060     Document Type: Article
Times cited : (35)

References (23)
  • 1
    • 0003362738 scopus 로고    scopus 로고
    • Rational extended thermodynamics
    • (II Edition), Springer-Verlag, New York
    • Müller I, Ruggeri T (1998) Rational Extended Thermodynamics, Springer Tracts in Natural Philosophy, 37 (II Edition), Springer-Verlag, New York
    • (1998) Springer Tracts in Natural Philosophy , vol.37
    • Müller, I.1    Ruggeri, T.2
  • 3
    • 0001675291 scopus 로고
    • Sur l'existence et la recherche d'équations de conservation supplémentaires pour les systèmes hyperboliques
    • Boillat G (1996) Sur l'existence et la recherche d'équations de conservation supplémentaires pour les systèmes hyperboliques. C.R. Acad. Sc. Paris, 278 A, 909 (1974). Non Linear Hyperbolic Fields and Waves in CIME Course Recent Mathematical Methods in Nonlinear Wave Propagation. T. Ruggeri Ed., Lecture Notes in Mathematics n. 1640 Springer-Verlag, Berlin, 1-47
    • (1974) C.R. Acad. Sc. Paris , vol.278 A , pp. 909
    • Boillat, G.1
  • 4
    • 0040677527 scopus 로고    scopus 로고
    • Non linear hyperbolic fields and waves in CIME course recent mathematical methods in nonlinear wave propagation
    • Springer-Verlag, Berlin
    • Boillat G (1996) Sur l'existence et la recherche d'équations de conservation supplémentaires pour les systèmes hyperboliques. C.R. Acad. Sc. Paris, 278 A, 909 (1974). Non Linear Hyperbolic Fields and Waves in CIME Course Recent Mathematical Methods in Nonlinear Wave Propagation. T. Ruggeri Ed., Lecture Notes in Mathematics n. 1640 Springer-Verlag, Berlin, 1-47
    • Lecture Notes in Mathematics , vol.1640 , pp. 1-47
    • Ruggeri, T.1
  • 5
    • 0001821191 scopus 로고
    • Main field and convex covariant density for quasi-linear hyperbolic systems. Relativistic fluid dynamics
    • Ruggeri T, Strumia A (1981) Main field and convex covariant density for quasi-linear hyperbolic systems. Relativistic fluid dynamics. Ann. Inst. H. Poincaré, 34 A, 65
    • (1981) Ann. Inst. H. Poincaré , vol.34 A , pp. 65
    • Ruggeri, T.1    Strumia, A.2
  • 6
    • 0031519460 scopus 로고    scopus 로고
    • Moment equations in the kinetic theory of gases and wave velocities
    • Boillat G, Ruggeri T (1997) Moment equations in the kinetic theory of gases and wave velocities. Continuum Mech. Thermodyn. 9, 205
    • (1997) Continuum Mech. Thermodyn. , vol.9 , pp. 205
    • Boillat, G.1    Ruggeri, T.2
  • 7
    • 0001528492 scopus 로고
    • Maximization of the entropy in non-equilibrium
    • Dreyer W, (1987) Maximization of the Entropy in Non-Equilibrium. J. Phys. A: Math. Gen. 20, 6505
    • (1987) J. Phys. A: Math. Gen. , vol.20 , pp. 6505
    • Dreyer, W.1
  • 8
    • 0032496580 scopus 로고    scopus 로고
    • Maximum of the local entropy production becomes minimal in stationary processes
    • Struchtrup H, Weiss W (1998) Maximum of the local entropy production becomes minimal in stationary processes. Phys. Rev. Lett. 80 n. 23, 5048
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.23 , pp. 5048
    • Struchtrup, H.1    Weiss, W.2
  • 9
    • 0013164967 scopus 로고    scopus 로고
    • Some remarks about the the minimax entropy principle in extended thermodynamics
    • Brini F, Ruggeri T (2001) Some remarks about the the minimax entropy principle in Extended Thermodynamics submitted to Accad. Naz. Lincei
    • (2001) Accad. Naz. Lincei
    • Brini, F.1    Ruggeri, T.2
  • 10
    • 0003455930 scopus 로고
    • The mathematical theory of nonuniform gases
    • Cambridge University Press C. Cercignani, Scottish Academic Press
    • Chapman SC, Cowling TG (1975) The Mathematical Theory of Nonuniform Gases, Cambridge University Press (1961). C. Cercignani, Theory and Application of the Boltzmann Equation, Scottish Academic Press
    • (1961) Theory and Application of the Boltzmann Equation
    • Chapman, S.C.1    Cowling, T.G.2
  • 11
    • 0030534703 scopus 로고    scopus 로고
    • Moment closure hierarchies for kinetic theories
    • Levermore CD, (1996) Moment Closure Hierarchies for Kinetic Theories, J. Stat. Phys. 83, 1021
    • (1996) J. Stat. Phys. , vol.83 , pp. 1021
    • Levermore, C.D.1
  • 12
    • 0013119190 scopus 로고    scopus 로고
    • Maximum entropy density in equilibrium and minimax entropy principle for an hyperbolic system of balance laws
    • "Anniversary Volume for Krzystof Wilmanski" B. Albers editor Berlin
    • Ruggeri T (2000) Maximum entropy density in equilibrium and minimax entropy principle for an hyperbolic system of balance laws, "Anniversary Volume for Krzystof Wilmanski" B. Albers editor WIAS-Report 18, Berlin
    • (2000) WIAS-Report , vol.18
    • Ruggeri, T.1
  • 13
    • 0032259525 scopus 로고    scopus 로고
    • Domain of definition of levermore's five moments system
    • Junk M (2000) Domain of definition of Levermore's Five Moments System, J. Stat. Phys., 93, 1143-1167 (1998); W. Dreyer, M. Junk and M. Kunik, On the approximation of kinetic equations by moment systems; WIAS-Preprint No 592, Berlin
    • (1998) J. Stat. Phys. , vol.93 , pp. 1143-1167
    • Junk, M.1
  • 15
    • 0013171854 scopus 로고    scopus 로고
    • On the non-linear closure problem of moment equation
    • Ciancio V, Donato A, Oliveri F, Rionero S (eds) World Scientific
    • Ruggeri T (2001) On the non-linear closure problem of moment equation. In: Ciancio V, Donato A, Oliveri F, Rionero S (eds) Proceedings "WASCOM 99" 10th Conference on Waves and Stability in Continuous Media, pp 434-443. World Scientific
    • (2001) Proceedings "WASCOM 99" 10th Conference on Waves and Stability in Continuous Media , pp. 434-443
    • Ruggeri, T.1
  • 16
    • 0035530410 scopus 로고    scopus 로고
    • Hyperbolicity region in extended thermodynamics with 14 moments
    • Brini F (2001) Hyperbolicity region in Extended Thermodynamics with 14 moments, Continuum Mech. Thermodyn., 13, 1-8
    • (2001) Continuum Mech. Thermodyn. , vol.13 , pp. 1-8
    • Brini, F.1
  • 17
    • 0344240920 scopus 로고    scopus 로고
    • On the temperature of a rarefied gas in non-equilibrium
    • Barbera E, Müller I, Sugiyama M (1999) On the temperature of a rarefied gas in non-equilibrium, Meccanica, 34, 103-113
    • (1999) Meccanica , vol.34 , pp. 103-113
    • Barbera, E.1    Müller, I.2    Sugiyama, M.3
  • 18
  • 19
    • 0013168203 scopus 로고    scopus 로고
    • Stationary heat conduction in radially symmetric situations - An application of extended thermodynamics
    • Müller I, Ruggeri T (2001) Stationary heat conduction in radially symmetric situations - an Application of Extended Thermodynamics, submitted to Transport Theory and Stat. Phys.
    • (2001) Transport Theory and Stat. Phys.
    • Müller, I.1    Ruggeri, T.2
  • 21
    • 0031331292 scopus 로고    scopus 로고
    • Hyperbolic principal subsystems: Entropy convexity and sub characteristic conditions
    • Boillat G, Ruggeri T (1997) Hyperbolic Principal Subsystems: Entropy Convexity and Sub characteristic Conditions. Arch. Rat. Mech. Anal. 137 (4), 305
    • (1997) Arch. Rat. Mech. Anal. , vol.137 , Issue.4 , pp. 305
    • Boillat, G.1    Ruggeri, T.2
  • 22
    • 0033437647 scopus 로고    scopus 로고
    • Application of high moment theory to the plane Couette flow
    • Reitebuch D, Weiss W (1999) Application of high moment theory to the plane Couette flow, Continuum Mech. Thermodyn., 11, 217-225
    • (1999) Continuum Mech. Thermodyn. , vol.11 , pp. 217-225
    • Reitebuch, D.1    Weiss, W.2
  • 23
    • 0002173822 scopus 로고
    • Galilean invariance and entropy principle for systems of balance laws
    • Ruggeri T (1989) Galilean invariance and entropy principle for systems of balance laws, Continuum Mech. Thermodyn. 1, 3-20
    • (1989) Continuum Mech. Thermodyn. , vol.1 , pp. 3-20
    • Ruggeri, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.