메뉴 건너뛰기




Volumn 37, Issue 2, 2003, Pages 345-355

Characterization of collision kernels

Author keywords

Boltzmann; Collision kernels; Landau

Indexed keywords


EID: 30244530023     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2003030     Document Type: Article
Times cited : (1)

References (15)
  • 3
    • 0039717503 scopus 로고
    • The Boltzmann equation and the group transformations
    • A.V. Bobylev, The Boltzmann equation and the group transformations. Math. Models Methods Appl. Sci. 3 (1993) 443-476.
    • (1993) Math. Models Methods Appl. Sci. , vol.3 , pp. 443-476
    • Bobylev, A.V.1
  • 5
    • 24944576751 scopus 로고    scopus 로고
    • Boltzmann's kernel and the spatially homogeneous Boltzmann equation
    • L. Desvillettes, Boltzmann's kernel and the spatially homogeneous Boltzmann equation. Riv. Mat. Univ. Parma 6 (2001) 1-22.
    • (2001) Riv. Mat. Univ. Parma , vol.6 , pp. 1-22
    • Desvillettes, L.1
  • 6
    • 0035457542 scopus 로고    scopus 로고
    • A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions
    • L. Desvillettes and V. Ricci, A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions. J. Statist. Phys. 104 (2001) 1173-1189.
    • (2001) J. Statist. Phys. , vol.104 , pp. 1173-1189
    • Desvillettes, L.1    Ricci, V.2
  • 7
    • 0000278898 scopus 로고    scopus 로고
    • On the spatially homogeneous Landau equation for hard potentials. Part I: Existence, uniqueness and smoothness
    • L. Desvillettes and C. Villani, On the spatially homogeneous Landau equation for hard potentials. Part I: Existence, uniqueness and smoothness. Comm. Partial Differential Equations 25 (2000) 179-259.
    • (2000) Comm. Partial Differential Equations , vol.25 , pp. 179-259
    • Desvillettes, L.1    Villani, C.2
  • 8
    • 0000242636 scopus 로고
    • Asymptotic motion of a classical particle in a random potential in two dimensions: Landau model
    • D. Dürr, S. Goldstein and J. Lebowitz, Asymptotic motion of a classical particle in a random potential in two dimensions: Landau model. Comm. Math. Phys. 113 (1987) 209-230.
    • (1987) Comm. Math. Phys. , vol.113 , pp. 209-230
    • Dürr, D.1    Goldstein, S.2    Lebowitz, J.3
  • 9
    • 0007090280 scopus 로고
    • Rigorous theory of the Boltzmann equation in the Lorentz gas
    • Istituto di Fisica, Università di Roma
    • G. Gallavotti, Rigorous theory of the Boltzmann equation in the Lorentz gas. Nota interna No. 358, Istituto di Fisica, Università di Roma (1973).
    • (1973) Nota Interna No. 358 , vol.358
    • Gallavotti, G.1
  • 12
    • 0001467016 scopus 로고
    • Global validity of the Boltzmann equation for a two-dimensional rare gas in the vacuum
    • R. Illner and M. Pulvirenti, Global validity of the Boltzmann equation for a two-dimensional rare gas in the vacuum. Comm. Math. Phys. 105 (1986) 189-203.
    • (1986) Comm. Math. Phys. , vol.105 , pp. 189-203
    • Illner, R.1    Pulvirenti, M.2
  • 13
    • 0000210546 scopus 로고
    • Global validity of the Boltzmann equation for two- and three-dimensional rare gas in the vacuum: Erratum and improved result
    • R. Illner and M. Pulvirenti, Global validity of the Boltzmann equation for two- and three-dimensional rare gas in the vacuum: erratum and improved result. Comm. Math. Phys. 121 (1989) 143-146.
    • (1989) Comm. Math. Phys. , vol.121 , pp. 143-146
    • Illner, R.1    Pulvirenti, M.2
  • 14
    • 0001518823 scopus 로고
    • Time evolution of large classical systems
    • Springer Verlag
    • O. Lanford, Time evolution of large classical systems. Springer Verlag, Lecture Notes in Phys. 38 (1975) 1-111.
    • (1975) Lecture Notes in Phys. , vol.38 , pp. 1-111
    • Lanford, O.1
  • 15
    • 30244560449 scopus 로고
    • A mathematical foundation for radiative transfer
    • R.W. Preisendorfer, A mathematical foundation for radiative transfer. J. Math. Mech. 6 (1957) 685-730.
    • (1957) J. Math. Mech. , vol.6 , pp. 685-730
    • Preisendorfer, R.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.