메뉴 건너뛰기




Volumn 132, Issue 1, 2008, Pages 153-170

Construction of discrete kinetic models with given invariants

Author keywords

Boltzmann equation; Collision invariants; Conservation laws; Discrete kinetic models

Indexed keywords


EID: 44349186700     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-008-9536-9     Document Type: Article
Times cited : (28)

References (18)
  • 1
    • 34250474469 scopus 로고
    • On the Boltzmann equation, part II: The full initial value problem
    • Arkeryd, L.: On the Boltzmann equation, part II: the full initial value problem. Arch. Ration. Mech. Anal. 45, 17-34 (1972)
    • (1972) Arch. Ration. Mech. Anal. , vol.45 , pp. 17-34
    • Arkeryd, L.1
  • 2
    • 0009297589 scopus 로고
    • On a functional equation arising in the kinetic theory of gases
    • Arkeryd, L., Cercignani, C.: On a functional equation arising in the kinetic theory of gases. Rend. Mat. Acc. Lincei 1, 139-149 (1990)
    • (1990) Rend. Mat. Acc. Lincei , vol.1 , pp. 139-149
    • Arkeryd, L.1    Cercignani, C.2
  • 4
    • 0032049710 scopus 로고    scopus 로고
    • Discrete velocity models for mixtures
    • Bobylev, A.V., Cercignani, C.: Discrete velocity models for mixtures. J. Stat. Phys. 91, 327-342 (1998)
    • (1998) J. Stat. Phys. , vol.91 , pp. 327-342
    • Bobylev, A.V.1    Cercignani, C.2
  • 5
    • 0033235596 scopus 로고    scopus 로고
    • Discrete velocity models without non-physical invariants
    • Bobylev, A.V., Cercignani, C.: Discrete velocity models without non-physical invariants. J. Stat. Phys. 97, 677-686 (1999)
    • (1999) J. Stat. Phys. , vol.97 , pp. 677-686
    • Bobylev, A.V.1    Cercignani, C.2
  • 8
    • 0002966205 scopus 로고
    • Sur des critère d'existence globale en théorie cinétique discrète
    • Cercignani, C.: Sur des critère d'existence globale en théorie cinétique discrète. C. R. Acad. Sci. Paris 301, 89-92 (1985)
    • (1985) C. R. Acad. Sci. Paris , vol.301 , pp. 89-92
    • Cercignani, C.1
  • 9
    • 0034339805 scopus 로고    scopus 로고
    • Shock waves for discrete velocity gas mixture
    • Cercignani, C., Cornille, H.: Shock waves for discrete velocity gas mixture. J. Stat. Phys. 99, 115-140 (2000)
    • (2000) J. Stat. Phys. , vol.99 , pp. 115-140
    • Cercignani, C.1    Cornille, H.2
  • 10
    • 0035853657 scopus 로고    scopus 로고
    • Large size planar discrete velocity models for gas mixtures
    • Cercignani, C., Cornille, H.: Large size planar discrete velocity models for gas mixtures. J. Phys. A: Math. Gen. 34, 2985-2998 (2001)
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 2985-2998
    • Cercignani, C.1    Cornille, H.2
  • 11
    • 0034335605 scopus 로고    scopus 로고
    • A class of planar discrete velocity models for gas mixtures
    • Cornille, H., Cercignani, C.: A class of planar discrete velocity models for gas mixtures. J. Stat. Phys. 99, 967-991 (2000)
    • (2000) J. Stat. Phys. , vol.99 , pp. 967-991
    • Cornille, H.1    Cercignani, C.2
  • 14
    • 0008492827 scopus 로고    scopus 로고
    • A consistency result for a discrete-velocity model of the Boltzmann equation
    • Palczewski, A., Schneider, J., Bobylev, A.: A consistency result for a discrete-velocity model of the Boltzmann equation. SIAM J. Numer. Anal. 34, 1865-1883 (1997)
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1865-1883
    • Palczewski, A.1    Schneider, J.2    Bobylev, A.3
  • 15
    • 0024018036 scopus 로고
    • Discrete velocity models of the Boltzmann equation: A survey on the mathematical aspects of the theory
    • Platkowski, T., Illner, R.: Discrete velocity models of the Boltzmann equation: a survey on the mathematical aspects of the theory. SIAM Rev. 30, 213-255 (1988)
    • (1988) SIAM Rev. , vol.30 , pp. 213-255
    • Platkowski, T.1    Illner, R.2
  • 16
    • 0033475521 scopus 로고    scopus 로고
    • Velocity inductive construction for mixtures
    • Vedenyapin, V.V.: Velocity inductive construction for mixtures. Transport. Theory Stat. Phys. 28, 727-742 (1999)
    • (1999) Transport. Theory Stat. Phys. , vol.28 , pp. 727-742
    • Vedenyapin, V.V.1
  • 17
    • 0033237088 scopus 로고    scopus 로고
    • Conservation laws for polynomial Hamiltonians and for discrete models for Boltzmann equation
    • Vedenyapin, V.V., Orlov, Yu.N.: Conservation laws for polynomial Hamiltonians and for discrete models for Boltzmann equation. Teor. Math. Phys. 121, 1516-1523 (1999)
    • (1999) Teor. Math. Phys. , vol.121 , pp. 1516-1523
    • Vedenyapin, V.V.1    Orlov, Yu.N.2
  • 18
    • 44349191041 scopus 로고    scopus 로고
    • Construction and classification of discrete kinetic models without spurious invariants
    • Bobylev, A.V., Vinerean, M.C.: Construction and classification of discrete kinetic models without spurious invariants. Riv. Mat. Univ. Parma 7, 1-80 (2007)
    • (2007) Riv. Mat. Univ. Parma , vol.7 , pp. 1-80
    • Bobylev, A.V.1    Vinerean, M.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.