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Volumn 34, Issue 3, 2003, Pages 555-572

Asymptotic stability of traveling waves to a certain discrete velocity model of the Boltzmann equation in the half space

Author keywords

Boundary effect; Broadwell model; Energy method; Initial boundary value problem

Indexed keywords


EID: 0038473926     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141001390683     Document Type: Article
Times cited : (3)

References (10)
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  • 2
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  • 3
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    • Asymptotic stability of traveling wave solution of systems for one-dimensional gas motion
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    • Kawashima, S.1    Matsumura, A.2
  • 4
    • 0033475357 scopus 로고    scopus 로고
    • Existence of a stationary wave for the discrete Boltzmann equation in the half space
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    • (1999) Comm. Math. Phys. , vol.207 , pp. 385-409
    • Kawashima, S.1    Nishibata, S.2
  • 5
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    • Kawashima, S.1    Nishibata, S.2
  • 6
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    • Liu, J.-G.1    Xin, Z.2
  • 7
    • 0009171042 scopus 로고    scopus 로고
    • Asymptotics toward viscous shock profile for solution of the viscous p-system with boundary effect
    • A. MATSUMURA AND M. MEI, Asymptotics toward viscous shock profile for solution of the viscous p-system with boundary effect, Arch. Ration. Mech. Anal., 146 (1999), pp. 1-22.
    • (1999) Arch. Ration. Mech. Anal. , vol.146 , pp. 1-22
    • Matsumura, A.1    Mei, M.2
  • 8
    • 85014762897 scopus 로고    scopus 로고
    • Stability of stationary solutions to the half-space problem for the discrete Boltzmann equation with multiple collisions
    • Y. NIKKUNI AND S. KAWASHIMA, Stability of stationary solutions to the half-space problem for the discrete Boltzmann equation with multiple collisions, Kyushu J. Math., 54 (2000), pp. 233-255.
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  • 9
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    • Asymptotic stability of rarefaction waves for some discrete velocity model of the Boltzmann equation in the half-space
    • Y. NIKKUNI AND S. KAWASHIMA, Asymptotic stability of rarefaction waves for some discrete velocity model of the Boltzmann equation in the half-space, Adv. Math. Sci. Appl., 12 (2002), pp. 327-353.
    • (2002) Adv. Math. Sci. Appl. , vol.12 , pp. 327-353
    • Nikkuni, Y.1    Kawashima, S.2
  • 10
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    • On the half-space problem for discrete velocity model of the Boltzmann equation
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    • S. UKAI, On the half-space problem for discrete velocity model of the Boltzmann equation, in Advances in Nonlinear Partial Differential Equations and Stochastics, Ser. Adv. Math. Appl. Sci. 48, S. Kawashima and T. Yanagisawa, eds., World Scientific, Singapore, 1998, pp. 160-174.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.