메뉴 건너뛰기




Volumn 188, Issue 3-4, 2004, Pages 178-192

Energy method for Boltzmann equation

Author keywords

Boltzmann equation; H theorem; Macro micro decomposition; Maxwellian states

Indexed keywords

DENSITY (SPECIFIC GRAVITY); INTEGRATION; MAXWELL EQUATIONS; SPECTRUM ANALYSIS; TEMPERATURE MEASUREMENT; THEOREM PROVING; VELOCITY MEASUREMENT; VISCOSITY;

EID: 0346498040     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2003.07.011     Document Type: Article
Times cited : (228)

References (12)
  • 1
    • 0004205706 scopus 로고
    • Dover, New York, translated by Stephen G. Brush
    • L. Boltzmann, Lectures on Gas Theory, Dover, New York, 1964 (translated by Stephen G. Brush).
    • (1964) Lectures on Gas Theory
    • Boltzmann, L.1
  • 2
    • 0040330066 scopus 로고
    • Sur la théorie de l'équation intégrodifférentielle de Boltzmann
    • Carleman T., Sur la théorie de l'équation intégrodifférentielle de Boltzmann. Acta Math. 60:1933;91-142.
    • (1933) Acta Math. , vol.60 , pp. 91-142
    • Carleman, T.1
  • 4
    • 0001692710 scopus 로고
    • On a boundary layer problem for the nonlinear Boltzmann equation
    • Golse F., Perthame B., Sulem C., On a boundary layer problem for the nonlinear Boltzmann equation. Arch. Ration. Mech. Anal. 103:1988;81-96.
    • (1988) Arch. Ration. Mech. Anal. , vol.103 , pp. 81-96
    • Golse, F.1    Perthame, B.2    Sulem, C.3
  • 5
    • 0003138434 scopus 로고
    • Asymptotic theory of the Boltzmann equation
    • J.A. Laurmann (Ed.), Academic Press, New York
    • H. Grad, Asymptotic theory of the Boltzmann equation, in: J.A. Laurmann (Ed.), Rarefied Gas Dynamics, vol. 1, no. 26, Academic Press, New York, 1963, pp. 26-59.
    • (1963) Rarefied Gas Dynamics , vol.1 , Issue.26 , pp. 26-59
    • Grad, H.1
  • 7
    • 0040193736 scopus 로고
    • On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation
    • Kawashima S., Matsumura A., Nishida T., On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation. Commun. Math. Phys. 70(2):1979;97-124.
    • (1979) Commun. Math. Phys. , vol.70 , Issue.2 , pp. 97-124
    • Kawashima, S.1    Matsumura, A.2    Nishida, T.3
  • 8
    • 85047172724 scopus 로고    scopus 로고
    • Boltzmann equation: Micro-macro decompositions and positivity of shock profiles
    • to appear
    • T.-P. Liu, S.-H. Yu, Boltzmann equation: micro-macro decompositions and positivity of shock profiles, Commun. Math. Phys., to appear.
    • Commun. Math. Phys.
    • Liu, T.-P.1    Yu, S.-H.2
  • 9
    • 0041359597 scopus 로고
    • Dynamical theory of gases
    • Cambridge University Press, Cambridge
    • J.C. Maxwell, Dynamical theory of gases, The Scientific Papers of James Clerk Maxwell, Cambridge University Press, Cambridge, vol. II, 1980, p. 26 J.C. Maxwell, Stresses in rarefied gases arising from inequalities of temperature, The Scientific Papers of James Clerk Maxwell, Cambridge University Press, Cambridge, p. 681.
    • (1980) The Scientific Papers of James Clerk Maxwell , vol.2 , pp. 26
    • Maxwell, J.C.1
  • 10
    • 0345598446 scopus 로고    scopus 로고
    • Stresses in rarefied gases arising from inequalities of temperature
    • Cambridge University Press, Cambridge
    • J.C. Maxwell, Dynamical theory of gases, The Scientific Papers of James Clerk Maxwell, Cambridge University Press, Cambridge, vol. II, 1980, p. 26 J.C. Maxwell, Stresses in rarefied gases arising from inequalities of temperature, The Scientific Papers of James Clerk Maxwell, Cambridge University Press, Cambridge, p. 681.
    • The Scientific Papers of James Clerk Maxwell , pp. 681
    • Maxwell, J.C.1
  • 11
    • 0000464203 scopus 로고
    • Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
    • Nishida T., Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation. Commun. Math. Phys. 61(2):1978;119-148.
    • (1978) Commun. Math. Phys. , vol.61 , Issue.2 , pp. 119-148
    • Nishida, T.1
  • 12
    • 0000824099 scopus 로고
    • On the existence of global solutions of mixed problem for non-linear Boltzmann equation
    • Ukai S., On the existence of global solutions of mixed problem for non-linear Boltzmann equation. Proc. Jpn. Acad. 50:1974;179-184.
    • (1974) Proc. Jpn. Acad. , vol.50 , pp. 179-184
    • Ukai, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.