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Volumn 246, Issue 1, 2004, Pages 133-179

Boltzmann Equation: Micro-Macro Decompositions and Positivity of Shock Profiles

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EID: 1842591085     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-1030-2     Document Type: Article
Times cited : (244)

References (20)
  • 1
    • 84990576599 scopus 로고
    • The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas
    • Bardos, C., Caflisch, R. E., Nicolaenko, B.: The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas, Commun. Pure Appl. Math. 49, 323-352 (1986)
    • (1986) Commun. Pure Appl. Math. , vol.49 , pp. 323-352
    • Bardos, C.1    Caflisch, R.E.2    Nicolaenko, B.3
  • 2
    • 0004205706 scopus 로고
    • (Translated by Stephen G. Brush). New York: Dover Publications, Inc.
    • Ludwig Boltzmann: (Translated by Stephen G. Brush): Lectures on Gas Theory. New York: Dover Publications, Inc. 1964
    • (1964) Lectures on Gas Theory
    • Boltzmann, L.1
  • 3
    • 0007086538 scopus 로고
    • Shock Profile Solutions of the Boltzmann Equation
    • Caflish, R. E., Nicolaenko, B.: Shock Profile Solutions of the Boltzmann Equation, Commun. Math. Phys. 86, 161-194 (1982)
    • (1982) Commun. Math. Phys. , vol.86 , pp. 161-194
    • Caflish, R.E.1    Nicolaenko, B.2
  • 4
    • 0040330066 scopus 로고    scopus 로고
    • Sur La Théorie de l'Équation Intégrodifférentielle de Boltzmann
    • Carleman, T.: Sur La Théorie de l'Équation Intégrodifférentielle de Boltzmann. Acta Mathematica 60, 91-142
    • Acta Mathematica , vol.60 , pp. 91-142
    • Carleman, T.1
  • 6
    • 0022865466 scopus 로고
    • Nonlinear asymptotic stability of viscous shock profiles for conservation laws
    • Goodman, J.: Nonlinear asymptotic stability of viscous shock profiles for conservation laws. Arch. Rational Mech. Anal. 95 (4), 325-344 (1986)
    • (1986) Arch. Rational Mech. Anal. , vol.95 , Issue.4 , pp. 325-344
    • Goodman, J.1
  • 7
    • 0003138434 scopus 로고
    • Asymptotic Theory of the Boltzmann Equation
    • J. A. Laurmann, ed., New York: Academic Press
    • Grad, H.: Asymptotic Theory of the Boltzmann Equation. In: Rarefied Gas Dynamics, J. A. Laurmann, ed., Vol. 1, New York: Academic Press, pp. 26-59 1963
    • (1963) Rarefied Gas Dynamics , vol.1 , pp. 26-59
    • Grad, H.1
  • 9
    • 84976041027 scopus 로고
    • Large-time behaviour of solutions to hyperbolic-parabolic systems of conservation laws and applications
    • Kawashima, S.: Large-time behaviour of solutions to hyperbolic-parabolic systems of conservation laws and applications. Proc. Roy. Soc. Edinburgh Sect. A 106(1-2), 169-194 (1987)
    • (1987) Proc. Roy. Soc. Edinburgh Sect. A , vol.106 , Issue.1-2 , pp. 169-194
    • Kawashima, S.1
  • 10
    • 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), 97-124 (1979)
    • (1979) Commun. Math. Phys. , vol.70 , Issue.2 , pp. 97-124
    • Kawashima, S.1    Matsumura, A.2    Nishida, T.3
  • 11
    • 34250115323 scopus 로고
    • Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
    • Kawashima, S., Matsumura, A.: Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion. Commun. Math. Phys. 101(1), 97-127 (1985)
    • (1985) Commun. Math. Phys. , vol.101 , Issue.1 , pp. 97-127
    • Kawashima, S.1    Matsumura, A.2
  • 12
    • 0001192857 scopus 로고
    • Nonlinear Stability of Shock Waves for Viscous Conservation Laws
    • Liu, T.-P.: Nonlinear Stability of Shock Waves for Viscous Conservation Laws. Mem. Amer. Math. Soc. 56, 329 (1985)
    • (1985) Mem. Amer. Math. Soc. , vol.56 , pp. 329
    • Liu, T.-P.1
  • 13
    • 0031531481 scopus 로고    scopus 로고
    • Pointwise Convergence to Shock Waves for Viscous Conservation Laws
    • Liu, T.-P.: Pointwise Convergence to Shock Waves for Viscous Conservation Laws. Commun. Pure and Appl. Math. Vol. 11, 1113-1182 (1997)
    • (1997) Commun. Pure and Appl. Math. , vol.11 , pp. 1113-1182
    • Liu, T.-P.1
  • 14
    • 1842542059 scopus 로고
    • The Scientific Papers of James Clerk Maxwell
    • Cambridge: Cambridge University University Press
    • Maxwell, J. C.: The Scientific Papers of James Clerk Maxwell. Cambridge: Cambridge University University Press, 1990: (a) On the Dynamical Theory of Gases, Vol. II, p. 26. (b) On Stresses in Rarefied Gases Arising from Inequalities of Temperature, Vol. p.681
    • (1990) On the Dynamical Theory of Gases , vol.2 , pp. 26
    • Maxwell, J.C.1
  • 15
    • 1842437725 scopus 로고    scopus 로고
    • The Scientific Papers of James Clerk Maxwell
    • Vol.
    • Maxwell, J. C.: The Scientific Papers of James Clerk Maxwell. Cambridge: Cambridge University University Press, 1990: (a) On the Dynamical Theory of Gases, Vol. II, p. 26. (b) On Stresses in Rarefied Gases Arising from Inequalities of Temperature, Vol. p.681
    • On Stresses in Rarefied Gases Arising from Inequalities of Temperature , pp. 681
  • 16
    • 0000464203 scopus 로고
    • Takaaki Fluid Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
    • Nishida, T.: Takaaki Fluid Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation. Commun. Math. Phys. 61(2), 119-148 (1978)
    • (1978) Commun. Math. Phys. , vol.61 , Issue.2 , pp. 119-148
    • Nishida, T.1
  • 17
    • 0001923997 scopus 로고
    • On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
    • Matsumura, A., Nishihara, K.: On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas. Japan J. Appl. Math. 2(1), 17-25 (1985)
    • (1985) Japan J. Appl. Math. , vol.2 , Issue.1 , pp. 17-25
    • Matsumura, A.1    Nishihara, K.2
  • 18
    • 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. Japan Acad. 50, 179-184 (1974)
    • (1974) Proc. Japan Acad. , vol.50 , pp. 179-184
    • Ukai, S.1
  • 19
    • 0009328610 scopus 로고
    • Les solutions globales de l'équation de Boltzmann dans l'espace tout entier et dans le demi-espace
    • Ai
    • Ukai, S.: Les solutions globales de l'équation de Boltzmann dans l'espace tout entier et dans le demi-espace. C.R.Acad. Sci. Paris Ser. A-B 282(6), Ai, A317-A320 (1976)
    • (1976) C.R. Acad. Sci. Paris Ser. A-B , vol.282 , Issue.6
    • Ukai, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.