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Volumn 25, Issue 3, 2009, Pages 869-882

Acoustic limit of the Boltzmann equation: Classical solutions

Author keywords

Boltzmann equations; Fluid dynamic limit

Indexed keywords


EID: 72249118818     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2009.25.869     Document Type: Article
Times cited : (27)

References (12)
  • 1
    • 84990619144 scopus 로고
    • Fluid dynamic limits of kinetic equations II: Convergence proof for the Boltzmann equation
    • C. Bardos, F. Golse, and C. D. Levermore, Fluid dynamic limits of kinetic equations II: Convergence proof for the Boltzmann equation, Comm. Pure and Appl. Math., 46 (1993), 667-753.
    • (1993) Comm. Pure and Appl. Math. , vol.46 , pp. 667-753
    • Bardos, C.1    Golse, F.2    Levermore, C.D.3
  • 3
    • 0036108339 scopus 로고    scopus 로고
    • The Stokes-Fourier and acoustic limits for the Boltzmann equation
    • F. Golse and C. D. Levermore, The Stokes-Fourier and acoustic limits for the Boltzmann equation, Comm. on Pure and Appl. Math., 55 (2002), 336-393.
    • (2002) Comm. on Pure and Appl. Math. , vol.55 , pp. 336-393
    • Golse, F.1    Levermore, C.D.2
  • 4
    • 0742323595 scopus 로고    scopus 로고
    • The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
    • F. Golse and L. Saint-Raymond, The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels, Invent. Math., 155 (2004), 81-161.
    • (2004) Invent. Math. , vol.155 , pp. 81-161
    • Golse, F.1    Saint-Raymond, L.2
  • 5
    • 0036328887 scopus 로고    scopus 로고
    • The Vlasov-Poisson-Boltzmann system near Marwellians
    • Y. Guo, The Vlasov-Poisson-Boltzmann system near Marwellians, Comm. Pure Appl. Math., 55 (2002), 1104-1135.
    • (2002) Comm. Pure Appl. Math. , vol.55 , pp. 1104-1135
    • Guo, Y.1
  • 6
    • 0041413233 scopus 로고    scopus 로고
    • The Vlasov-Maxwell-Boltzmann system near Maxwellians
    • Y. Guo, The Vlasov-Maxwell-Boltzmann system near Maxwellians, Invent. Math., 153 (2003), 593-630
    • (2003) Invent. Math. , vol.153 , pp. 593-630
    • Guo, Y.1
  • 7
    • 33645967200 scopus 로고    scopus 로고
    • Boltzmann diffusive limit beyond the Navier-Stokes approximation
    • Y. Guo, Boltzmann diffusive limit beyond the Navier-Stokes approximation, Comm. Pure Appl. Math., 59 (2006), 626-687.
    • (2006) Comm. Pure Appl. Math. , vol.59 , pp. 626-687
    • Guo, Y.1
  • 11
    • 0035616508 scopus 로고    scopus 로고
    • From Boltzmann equation to Navier-Stokes and Euler equations I
    • P. L. Lions and N. Masmoudi, From Boltzmann equation to Navier-Stokes and Euler equations I, Arch. Ration. Mech. Anal., 158 (2001), 173-193.
    • (2001) Arch. Ration. Mech. Anal. , vol.158 , pp. 173-193
    • Lions, P.L.1    Masmoudi, N.2
  • 12
    • 0035614842 scopus 로고    scopus 로고
    • From Boltzmann equation to Navier-Stokes and Euler equations II
    • P. L. Lions and N. Masmoudi, From Boltzmann equation to Navier-Stokes and Euler equations II, Arch. Ration. Mech. Anal., 158 (2001), 195-211.
    • (2001) Arch. Ration. Mech. Anal. , vol.158 , pp. 195-211
    • Lions, P.L.1    Masmoudi, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.