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Volumn 140, Issue 1, 1997, Pages 53-77

Convergence of discrete-velocity schemes for the boltzmann equation

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; FINITE VOLUME METHOD; MATHEMATICAL MODELS;

EID: 0031261350     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050050060     Document Type: Article
Times cited : (17)

References (15)
  • 1
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    • Existence globale à données de Cauchy petites pour les modèles discrets de l'équation de Boltzmann
    • J.-M BONY, Existence globale à données de Cauchy petites pour les modèles discrets de l'équation de Boltzmann, Comm. Partial Diff. Eq., 16 (1991), 533-545.
    • (1991) Comm. Partial Diff. Eq. , vol.16 , pp. 533-545
    • Bony, J.-M.1
  • 3
    • 0003704503 scopus 로고
    • The discrete Boltzmann equation (theory and applications)
    • University of California, Berkeley
    • H. CABANNES, The discrete Boltzmann equation (Theory and applications), Lectures notes, University of California, Berkeley (1980).
    • (1980) Lectures Notes
    • Cabannes, H.1
  • 6
    • 0001089576 scopus 로고
    • On the Cauchy problem for Boltzmann equations: Global existence and weak stability
    • R. J. DIPERNA & P.-L. LIONS, On the Cauchy problem for Boltzmann equations: Global existence and weak stability, Ann. Math., 130 (1989), 321-366.
    • (1989) Ann. Math. , vol.130 , pp. 321-366
    • Diperna, R.J.1    Lions, P.-L.2
  • 7
    • 0002627660 scopus 로고
    • Global solutions of Boltzmann equation and the entropy inequality
    • R. J. DIPERNA & P.-L. LIONS, Global solutions of Boltzmann equation and the entropy inequality, Arch. Rational Mech. Anal., 114 (1991), 47-55.
    • (1991) Arch. Rational Mech. Anal. , vol.114 , pp. 47-55
    • Diperna, R.J.1    Lions, P.-L.2
  • 8
    • 0003251961 scopus 로고
    • Théorie cinétique des gaz à répartition discrete de vitesses
    • Springer
    • R. GATIGNOL, Théorie cinétique des gaz à répartition discrete de vitesses, Lectures Notes in Physics, 36, Springer (1975).
    • (1975) Lectures Notes in Physics , vol.36
    • Gatignol, R.1
  • 9
    • 0001342333 scopus 로고
    • Microlocal defect measures
    • P. GÉRARD, Microlocal Defect Measures, Comm. Partial Diff. Eqs., 16 (1991) 1761-1794.
    • (1991) Comm. Partial Diff. Eqs. , vol.16 , pp. 1761-1794
    • Gérard, P.1
  • 10
    • 0001776391 scopus 로고
    • Investigation of the motion of discrete-velocity gases
    • Rarefied Gas Dynamics: Theoretical and Computational Techniques. E. P. MUNTZ, D. P. WEAVER & D. H. CAMPBELL (eds). AIAA, Washington DC
    • D. GOLDSTEIN, B. STURTEVANT & J. E. BROADWELL, Investigation of the Motion of Discrete-Velocity Gases, in "Rarefied Gas Dynamics: Theoretical and Computational Techniques". E. P. MUNTZ, D. P. WEAVER & D. H. CAMPBELL (eds). Progress in Astronautics and Aeronautics, Vol 118, AIAA, Washington DC (1989).
    • (1989) Progress in Astronautics and Aeronautics , vol.118
    • Goldstein, D.1    Sturtevant, B.2    Broadwell, J.E.3
  • 11
    • 0001294845 scopus 로고
    • Principles of the kinetic theory of gases
    • H. GRAD, Principles of the kinetic theory of gases, FLÜGGE'S Handbuch der Physik, 12 (1958), 205-294.
    • (1958) FLÜGGE'S Handbuch der Physik , vol.12 , pp. 205-294
    • Grad, H.1
  • 13
    • 45549114712 scopus 로고
    • Regularity of the moments of the solution of a transport equation
    • F. GOLSE, P.-L. LIONS, B. PERTHAME & R. SENTIS, Regularity of the moments of the solution of a transport equation, J. Funct. Anal., 76 (1988), 110-125.
    • (1988) J. Funct. Anal. , vol.76 , pp. 110-125
    • Golse, F.1    Lions, P.-L.2    Perthame, B.3    Sentis, R.4
  • 14
    • 0008489918 scopus 로고
    • Une méthode déterministe pour la résolution de l'équation de Boltzmann inhomogène
    • Y. L. MARTIN, F. ROGIER & J. SCHNEIDER, Une méthode déterministe pour la résolution de l'équation de Boltzmann inhomogène, C. R. Acad. Sci. Paris, 314 (1992) 483-487.
    • (1992) C. R. Acad. Sci. Paris , vol.314 , pp. 483-487
    • Martin, Y.L.1    Rogier, F.2    Schneider, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.