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Volumn 34, Issue 6, 2000, Pages 1277-1290

One-dimensional kinetic models of granular flows

Author keywords

Boltzmann equation; Granular gases; Long time behavior of solutions

Indexed keywords


EID: 0034549474     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2000127     Document Type: Article
Times cited : (124)

References (26)
  • 2
    • 0019717771 scopus 로고
    • Intermolecular forces of infinite range and the Boltzmann equation
    • L. Arkeryd, Intermolecular forces of infinite range and the Boltzmann equation. Arch. Rational Mech. Anal. 77 (1981) 11-21.
    • (1981) Arch. Rational Mech. Anal. , vol.77 , pp. 11-21
    • Arkeryd, L.1
  • 5
    • 0037764150 scopus 로고    scopus 로고
    • Erratum: A kinetic equation for granular media [RAIRO Modél. Math. Anal. Numér. 31 (1997) 615-641].
    • D. Benedetto, E. Caglioti and M. Pulvirenti, Erratum: A kinetic equation for granular media [RAIRO Modél. Math. Anal. Numér. 31 (1997) 615-641]. ESAIM: M2AN 33 (1999) 439-441.
    • (1999) ESAIM: M2AN , vol.33 , pp. 439-441
    • Benedetto, D.1    Caglioti, E.2    Pulvirenti, M.3
  • 7
    • 0034343060 scopus 로고    scopus 로고
    • On some properties of kinetic and hydrodynamics equations for inelastic interactions
    • A.V. Bobylev, J.A-Carrillo and I. Gamba, On some properties of kinetic and hydrodynamics equations for inelastic interactions. J. Statist. Phys. 98 (2000) 743-773.
    • (2000) J. Statist. Phys. , vol.98 , pp. 743-773
    • Bobylev, A.V.1    Carrillo, J.A.2    Gamba, I.3
  • 9
    • 21844483733 scopus 로고
    • About the regularizing properties of the non-cut-off Kac equation
    • L. Desvillettes, About the regularizing properties of the non-cut-off Kac equation. Comm. Math. Phys. 168 (1995) 417-440.
    • (1995) Comm. Math. Phys. , vol.168 , pp. 417-440
    • Desvillettes, L.1
  • 10
    • 7444219621 scopus 로고
    • Breakdown of hydrodynamics in a one-dimensional system of inelastic particles
    • Y. Du, H. Li and L.P. Kadanoff, Breakdown of hydrodynamics in a one-dimensional system of inelastic particles. Phys. Rev. Lett. 74 (1995) 1268-1271.
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 1268-1271
    • Du, Y.1    Li, H.2    Kadanoff, L.P.3
  • 12
    • 0033196588 scopus 로고    scopus 로고
    • Scales and kinetics of granular flows
    • I. Goldhirsch, Scales and kinetics of granular flows. Chaos 9 (1999) 659-672.
    • (1999) Chaos , vol.9 , pp. 659-672
    • Goldhirsch, I.1
  • 14
    • 0000647189 scopus 로고
    • On translation of mass
    • L. Kantorovich, On translation of mass (in Russian). Dokl. AN SSSR 37 (1942) 227-229.
    • (1942) Dokl. AN SSSR , vol.37 , pp. 227-229
    • Kantorovich, L.1
  • 15
    • 0001620499 scopus 로고
    • Die kinetische gleichung für den fall Coulombscher wechselwirkung
    • L. Landau, Die kinetische Gleichung für den Fall Coulombscher Wechselwirkung. Phys. Z. Sowjet. 10 (1936) 154. Trad.: The transport equation in the case of Coulomb interactions, in Collected papers of L.D. Landau, D. ter Haar Ed., Pergamon Press, Oxford (1981) 163-170.
    • (1936) Phys. Z. Sowjet. , vol.10 , pp. 154
    • Landau, L.1
  • 16
    • 0041174887 scopus 로고
    • Trad.: The transport equation in the case of Coulomb interactions
    • Pergamon Press, Oxford
    • L. Landau, Die kinetische Gleichung für den Fall Coulombscher Wechselwirkung. Phys. Z. Sowjet. 10 (1936) 154. Trad.: The transport equation in the case of Coulomb interactions, in Collected papers of L.D. Landau, D. ter Haar Ed., Pergamon Press, Oxford (1981) 163-170.
    • (1981) Collected Papers of L.D. Landau , pp. 163-170
    • Haar, D.T.1
  • 17
    • 0347922060 scopus 로고
    • Inelastic collapse and clumping in a one-dimensional granular medium
    • S. McNamara and W.R. Young, Inelastic collapse and clumping in a one-dimensional granular medium. Phys. Fluids A 4 (1992) 496-504.
    • (1992) Phys. Fluids A , vol.4 , pp. 496-504
    • McNamara, S.1    Young, W.R.2
  • 18
    • 0027389754 scopus 로고
    • Kinetics of a one-dimensional granular medium in the quasi-elastic limit
    • S. McNamara and W.R. Young, Kinetics of a one-dimensional granular medium in the quasi-elastic limit. Phys. Fluids A 5 (1993) 34-45.
    • (1993) Phys. Fluids A , vol.5 , pp. 34-45
    • McNamara, S.1    Young, W.R.2
  • 20
    • 0032328649 scopus 로고    scopus 로고
    • The grazing collision asymptotic of the non cut-off Kac equation
    • G. Toscani, The grazing collision asymptotic of the non cut-off Kac equation. RAIRO Modél. Math. Anal. Numer. 32 (1998) 763-772.
    • (1998) RAIRO Modél. Math. Anal. Numer. , vol.32 , pp. 763-772
    • Toscani, G.1
  • 22
    • 0002721507 scopus 로고
    • Markov processes on countable product space describing large systems of automata
    • L.N. Vasershtein, Markov processes on countable product space describing large systems of automata (in Russian). Problemy Peredachi Informatsii 5 (1969) 64-73.
    • (1969) Problemy Peredachi Informatsii , vol.5 , pp. 64-73
    • Vasershtein, L.N.1
  • 24
    • 0032338727 scopus 로고    scopus 로고
    • On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
    • C. Villani, On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Arch. Rational Mech. Anal. 143 (1998) 273-307.
    • (1998) Arch. Rational Mech. Anal. , vol.143 , pp. 273-307
    • Villani, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.