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Volumn 91, Issue 1-2, 1998, Pages 307-326

Existence, stability, and convergence of solutions of discrete velocity models to the Boltzmann equation

Author keywords

Boltzmann equation; Convergence of discrete approximation; Discrete velocity models; Kinetic theory; Numerical methods

Indexed keywords


EID: 0032049489     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1023000406921     Document Type: Article
Times cited : (28)

References (16)
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  • 6
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    • Differentiability of spatially homogeneous solutions of the Boltzmann equation in the non-Maxwellian case
    • G. DiBlasio, Differentiability of spatially homogeneous solutions of the Boltzmann equation in the non-Maxwellian case. Comm. Math. Phys. 38:331 340 (1974).
    • (1974) Comm. Math. Phys. , vol.38 , pp. 331-340
    • DiBlasio, G.1
  • 7
    • 0001089576 scopus 로고
    • On the Cauchy problem for Boltzmann equations: Global existence and weak stability
    • R. DiPerna and P.-L. Lions. On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Ann. Math. 130:321-366 (1989).
    • (1989) Ann. Math. , vol.130 , pp. 321-366
    • DiPerna, R.1    Lions, P.-L.2
  • 8
    • 0003251961 scopus 로고
    • Théorie cinétique des gaz a répartition discrète des vitesses
    • Springer, Berlin Heidelberg/New York
    • R. Gatignol, Théorie Cinétique des Gaz a Répartition Discrète des Vitesses, Lecture Notes in Physics, Vol. 36, Springer, Berlin Heidelberg/New York, 1975.
    • (1975) Lecture Notes in Physics , vol.36
    • Gatignol, R.1
  • 9
    • 0001776391 scopus 로고
    • Investigation of the motion of discrete-velocity gases
    • Rarefied Gas Dynamics: Theoretical and Computational Techniques, E. P. Muntz, D. P. Weaver and D. H. Campbell, eds.
    • D. Goldstein, B. Sturtevant, and J. H. Broadwell, Investigation of the motion of discrete-velocity gases, in Rarefied Gas Dynamics: Theoretical and Computational Techniques, E. P. Muntz, D. P. Weaver and D. H. Campbell, eds., Progress in Astronautics and Aeronautics 118:100-117 (1989).
    • (1989) Progress in Astronautics and Aeronautics , vol.118 , pp. 100-117
    • Goldstein, D.1    Sturtevant, B.2    Broadwell, J.H.3
  • 11
    • 0000109201 scopus 로고
    • Numerical study of discrete-velocity gases
    • T. Inamuro and B. Sturtevant. Numerical study of discrete-velocity gases. Phys. Fluids A 2: 2196-2203 (1990).
    • (1990) Phys. Fluids A , vol.2 , pp. 2196-2203
    • Inamuro, T.1    Sturtevant, B.2
  • 12
    • 0038855973 scopus 로고    scopus 로고
    • A quadrature formula for the Boltzmann equation
    • to appear
    • P. Michel and J. Schneider, A quadrature formula for the Boltzmann equation, SIAM J. Num. Anal. to appear.
    • SIAM J. Num. Anal.
    • Michel, P.1    Schneider, J.2
  • 13
    • 0031261350 scopus 로고    scopus 로고
    • Convergence of discrete velocities schemes for the Boltzmann equation
    • to appear
    • S. Mischler, Convergence of discrete velocities schemes for the Boltzmann equation, Arch. Rat. Mech. Anal., to appear.
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    • Mischler, S.1
  • 15
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    • A consistency result for a discrete-velocity model of the Boltzmann equation
    • A. Palczewski, J. Schneider, and A. V. Bobylev, A consistency result for a discrete-velocity model of the Boltzmann equation. SIAM J. Num. Anal. 34:1865-1883 (1997).
    • (1997) SIAM J. Num. Anal. , vol.34 , pp. 1865-1883
    • Palczewski, A.1    Schneider, J.2    Bobylev, A.V.3
  • 16
    • 0040347813 scopus 로고
    • A direct method for solving the Boltzmann equation
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    • Rogier, F.1    Schneider, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.