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Volumn 225, Issue 1, 1996, Pages 89-128

Nonlocal Lagrange formalism in the thermodynamics of irreversible processes: Variational procedures for kinetic equations

Author keywords

Boltzmann equation; Fokker Planck equation; Fr chet derivative; Hamilton's principle; Irreversible processes; Kinetic theory; Lagrange formalism; Nonlocal field theory; Thermodynamics; Variational procedure

Indexed keywords


EID: 0043040983     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-4371(95)00386-X     Document Type: Article
Times cited : (8)

References (28)
  • 1
    • 0013305874 scopus 로고
    • A new approach to thermodynamics of irreversible processes by means of Lagrange-formalism
    • W. Kilmister, ed. Reidel, Dordrecht
    • K.-H. Anthony, A new approach to thermodynamics of irreversible processes by means of Lagrange-formalism, in: Disequilibrium and Self-Organisation, W. Kilmister, ed. (Reidel, Dordrecht, 1986) p. 75.
    • (1986) Disequilibrium and Self-organisation , pp. 75
    • Anthony, K.-H.1
  • 2
    • 0042668966 scopus 로고
    • Phenomenological thermodynamics of irreversible processes and Lagrange-formalism, hyperbolic equations for heat transport
    • I. Müller and T. Ruggeri, eds. Pitagora Editrice, Bologna
    • K.-H. Anthony and H. Knoppe, Phenomenological thermodynamics of irreversible processes and Lagrange-formalism, hyperbolic equations for heat transport, in: Kinetic Theory and Extended Thermodynamics, I. Müller and T. Ruggeri, eds. (Pitagora Editrice, Bologna, 1987) p. 15.
    • (1987) Kinetic Theory and Extended Thermodynamics , pp. 15
    • Anthony, K.-H.1    Knoppe, H.2
  • 3
    • 0043170045 scopus 로고
    • Entropy and dynamical stability - A method due to Lagrange-formalism as applied to thermodynamics of irreversible processes
    • J.F. Besseling and W. Eckhaus, eds. Springer, Heidelberg
    • K.-H. Anthony, Entropy and dynamical stability - a method due to Lagrange-formalism as applied to thermodynamics of irreversible processes, in: Trends in Applications of Mathematics to Mechanics, J.F. Besseling and W. Eckhaus, eds. (Springer, Heidelberg, 1988) p. 297.
    • (1988) Trends in Applications of Mathematics to Mechanics , pp. 297
    • Anthony, K.-H.1
  • 4
    • 0042283685 scopus 로고
    • Phenomenological thermodynamics of irreversible processes within Lagrange formalism
    • K.-H. Anthony, Phenomenological thermodynamics of irreversible processes within Lagrange formalism, Acta Physica Hungarica 67 (1990) 321.
    • (1990) Acta Physica Hungarica , vol.67 , pp. 321
    • Anthony, K.-H.1
  • 5
    • 0001154626 scopus 로고
    • On dissipative systems and related variational principles
    • H. Bateman, On dissipative systems and related variational principles, Phys. Rev. 38 (1931) 815.
    • (1931) Phys. Rev. , vol.38 , pp. 815
    • Bateman, H.1
  • 9
    • 0043170040 scopus 로고
    • Invariance theory for nonlocal variational principles I, extended variations
    • D.G.B. Edelen, Invariance theory for nonlocal variational principles I, extended variations, Int. J. Eng. Sci. 9 (1971) 741.
    • (1971) Int. J. Eng. Sci. , vol.9 , pp. 741
    • Edelen, D.G.B.1
  • 10
    • 0015128864 scopus 로고
    • Invariance theory for nonlocal variational principles II, weak invariance and global conservation laws
    • D.G.B. Edelen, Invariance theory for nonlocal variational principles II, weak invariance and global conservation laws. Int. J. Eng. Sci. 9 (1971) 801.
    • (1971) Int. J. Eng. Sci. , vol.9 , pp. 801
    • Edelen, D.G.B.1
  • 11
    • 0015127353 scopus 로고
    • Invariance theory for nonlocal variational principles III, strong and absolute invariance
    • D.G.B. Edelen, Invariance theory for nonlocal variational principles III, strong and absolute invariance, Int. J. Eng, Sci. 9 (1971) 815.
    • (1971) Int. J. Eng, Sci. , vol.9 , pp. 815
    • Edelen, D.G.B.1
  • 12
    • 0041667041 scopus 로고
    • Invariance theory for nonlocal variational principles IV, Lagrangian classes
    • D.G.B. Edelen, Invariance theory for nonlocal variational principles IV, Lagrangian classes, Int. J. Eng. Sci. 9 (1971) 921.
    • (1971) Int. J. Eng. Sci. , vol.9 , pp. 921
    • Edelen, D.G.B.1
  • 14
    • 84980081651 scopus 로고
    • On the kinetic theory of rarefied gases
    • H. Grad, On the kinetic theory of rarefied gases, Comm. Pure Appl. Math, 2 (1949) 331.
    • (1949) Comm. Pure Appl. Math , vol.2 , pp. 331
    • Grad, H.1
  • 15
    • 0019691315 scopus 로고
    • Proper and normal solutions of the Fokker-Planck equation
    • J. Meyer and J. Schröter, Proper and normal solutions of the Fokker-Planck equation, Arch. Rat. Mech. Anal 76 (1981) 193.
    • (1981) Arch. Rat. Mech. Anal , vol.76 , pp. 193
    • Meyer, J.1    Schröter, J.2
  • 16
    • 0043170035 scopus 로고
    • Comments on the Grad procedure for the Fokker-Planck equation
    • J. Meyer and J. Schröter, Comments on the Grad procedure for the Fokker-Planck equation, J. Stat. Phys. 32 (1983) 53.
    • (1983) J. Stat. Phys. , vol.32 , pp. 53
    • Meyer, J.1    Schröter, J.2
  • 20
    • 0346672365 scopus 로고
    • Necessary and sufficient conditions for the existence of a Lagrangian in field theory I
    • R.M. Santilli, Necessary and sufficient conditions for the existence of a Lagrangian in field theory I, Annals of Physics 103 (1977) 354.
    • (1977) Annals of Physics , vol.103 , pp. 354
    • Santilli, R.M.1
  • 21
    • 0010218120 scopus 로고
    • Necessary and sufficient conditions for the existence of a Lagrangian in field theory II
    • R.M, Santilli, Necessary and sufficient conditions for the existence of a Lagrangian in field theory II, Annals of Physics 103 (1977) 409.
    • (1977) Annals of Physics , vol.103 , pp. 409
    • Santilli, R.M.1
  • 22
    • 0042668958 scopus 로고
    • Necessary and sufficient conditions for the existence of a Lagrangian in field theory III
    • R.M. Santilli, Necessary and sufficient Conditions for the Existence of a Lagrangian in Field Theory III, Annals of Physics 105 (1977) 227.
    • (1977) Annals of Physics , vol.105 , pp. 227
    • Santilli, R.M.1
  • 25
    • 85029977304 scopus 로고    scopus 로고
    • Construction scheme for variational principles: The Bateman procedure for kinetic equations
    • in press
    • B. Sievers, Construction scheme for variational principles: the Bateman procedure for kinetic equations, Journal of non-equilibrium thermodynamics, in press.
    • Journal of Non-equilibrium Thermodynamics
    • Sievers, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.