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Volumn 244, Issue 1, 2004, Pages 99-109

Nonlinear Stability of Boundary Layers of the Boltzmann Equation, I. The case script M sign∞ < - 1

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EID: 0742305914     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0976-4     Document Type: Article
Times cited : (39)

References (15)
  • 1
    • 0000725408 scopus 로고
    • Numerical analysis of steady flows of a gas condensing on or evaporating from its plane condensed phase on the basis of kinetic theory: Effect of gas motion along the condensed phase
    • Aoki, K., Nishino, K., Sone, Y., Sugimoto, H.: Numerical analysis of steady flows of a gas condensing on or evaporating from its plane condensed phase on the basis of kinetic theory: Effect of gas motion along the condensed phase. Phys. Fluids A 3, 2260-2275 (1991)
    • (1991) Phys. Fluids A , vol.3 , pp. 2260-2275
    • Aoki, K.1    Nishino, K.2    Sone, Y.3    Sugimoto, H.4
  • 2
    • 84990576599 scopus 로고
    • The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas
    • Bardos, C., Caflish, R.E., Nicolaenko, B.: The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas. Comm. Pure Appl. Math. 49, 323-352 (1986)
    • (1986) Comm. Pure Appl. Math. , vol.49 , pp. 323-352
    • Bardos, C.1    Caflish, R.E.2    Nicolaenko, B.3
  • 3
    • 0040330066 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 (1932)
    • (1932) Acta Mathematica , vol.60 , pp. 91-142
    • Carleman, T.1
  • 5
    • 0002682156 scopus 로고
    • Half-space problem in the kinetic theory of gases
    • E. Kröner, K. Kirchgässner, (eds.), Berlin: Springer-Verlag
    • Cercignani, C.: Half-space problem in the kinetic theory of gases. In: E. Kröner, K. Kirchgässner, (eds.), Trends in Applications of Pure Mathematics to Mechanics, Berlin: Springer-Verlag, 1986, pp. 35-50
    • (1986) Trends in Applications of Pure Mathematics to Mechanics , pp. 35-50
    • Cercignani, C.1
  • 6
    • 84990563920 scopus 로고
    • A classification of well-posed kinetic layer problems
    • Coron, F., Golse, F., Sulem, C.: A classification of well-posed kinetic layer problems. Commun. Pure Appl. Math. 41, 409-435 (1988)
    • (1988) Commun. Pure Appl. Math. , vol.41 , pp. 409-435
    • Coron, F.1    Golse, F.2    Sulem, C.3
  • 7
    • 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. Rat. Mech. Anal. 103(1), 81-96 (1988)
    • (1988) Arch. Rat. Mech. Anal. , vol.103 , Issue.1 , pp. 81-96
    • Golse, F.1    Perthame, B.2    Sulem, C.3
  • 8
    • 84988147924 scopus 로고
    • Stationary solutions of the linearized Boltzmann equation in a half-space
    • Golse. F., Poupaud, F.: Stationary solutions of the linearized Boltzmann equation in a half-space. Math. Methods Appl. Sci. 11, 483-502 (1989)
    • (1989) Math. Methods Appl. Sci. , vol.11 , pp. 483-502
    • Golse, F.1    Poupaud, F.2
  • 9
    • 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, 26, New York: Academic Press, 1963, pp. 26-59
    • (1963) Rarefied Gas Dynamics , vol.1 , Issue.26 , pp. 26-59
    • Grad, H.1
  • 11
    • 0042249038 scopus 로고
    • Conditions at infinity for Boltzmann's equation
    • Lions, P.-L.: Conditions at infinity for Boltzmann's equation. Commun. Partial Diff. Eqs. 19, 335-367 (1994)
    • (1994) Commun. Partial Diff. Eqs. , vol.19 , pp. 335-367
    • Lions, P.-L.1
  • 12
    • 0000647537 scopus 로고
    • Kinetic Theory of Evaporation and Condensation-Linear and Nonlinear Problems
    • Sone, Y.: Kinetic Theory of Evaporation and Condensation-Linear and Nonlinear Problems. J. Phys. Soc. Japan 45(1), (1978)
    • (1978) J. Phys. Soc. Japan , vol.45 , Issue.1
    • Sone, Y.1
  • 14
    • 0000908084 scopus 로고    scopus 로고
    • On the half-space problem for the discrete velocity model of the Boltzmann equation
    • Advances in Nonlinear Partial Differential Equations and Stochastic, Kawashima, T. Yangisawa, (eds.), Singapore-New York: World Scientific
    • Ukai, S.: On the half-space problem for the discrete velocity model of the Boltzmann equation. In: Advances in Nonlinear Partial Differential Equations and Stochastic, Kawashima, T. Yangisawa, (eds.), Series on Advances in Mathematics for Applied Sciences, Vol. 48, Singapore-New York: World Scientific, 1998, pp. 160-174
    • (1998) Series on Advances in Mathematics for Applied Sciences , vol.48 , pp. 160-174
    • Ukai, S.1
  • 15
    • 0037901944 scopus 로고    scopus 로고
    • Nonlinear Boundary Layers of the Boltzmann Equation: I
    • Ukai, S., Yang, T., Yu, S.-H.: Nonlinear Boundary Layers of the Boltzmann Equation: I, Existence. Commun. Math. Phys. 236, 373-393 (2003)
    • (2003) Existence. Commun. Math. Phys. , vol.236 , pp. 373-393
    • Ukai, S.1    Yang, T.2    Yu, S.-H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.