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Volumn 47, Issue 5, 2006, Pages

A new energy method for the Boltzmann equation

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EID: 33744762803     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2195528     Document Type: Article
Times cited : (32)

References (24)
  • 2
    • 0040330066 scopus 로고
    • Sur la th́orie de l'equation int́grodiff́rentielle de Boltzmann
    • Carleman, T., " Sur la th́orie de l'equation int́grodiff́rentielle de Boltzmann., " Acta Math. 60, 91-142 (1932).
    • (1932) Acta Math. , vol.60 , pp. 91-142
    • Carleman, T.1
  • 4
    • 0001089576 scopus 로고
    • On the Cauchy problem for Boltzmann equation: Global existence and weak stability
    • DiPerna, R. J., and Lions, P. L., " On the Cauchy problem for Boltzmann equation: global existence and weak stability., " Ann. Math. 130, 321-366 (1989).
    • (1989) Ann. Math. , vol.130 , pp. 321-366
    • Diperna, R.J.1    Lions, P.L.2
  • 5
    • 0001692710 scopus 로고
    • On a boundary layer problem for the nonlinear Boltzmann equation
    • Golse, F., Perthame, B., and Sulem, C., " On a boundary layer problem for the nonlinear Boltzmann equation., " Arch. Ration. Mech. Anal. 103, 81-96 (1986).
    • (1986) Arch. Ration. Mech. Anal. , vol.103 , pp. 81-96
    • Golse, F.1    Perthame, B.2    Sulem, C.3
  • 6
    • 0003138434 scopus 로고
    • Asymptotic theory of the Boltzmann equation
    • edited by J. A.Laurmann (Academic, New York
    • Grad, H., " Asymptotic theory of the Boltzmann equation., " in Rarefied Gas Dynamics, edited by, J. A. Laurmann, (Academic, New York, 1963), Vol. 1, pp. 26-59.
    • (1963) Rarefied Gas Dynamics , vol.1 , pp. 26-59
    • Grad, H.1
  • 7
    • 0036328887 scopus 로고    scopus 로고
    • The Vlasov-Poisson-Boltzmann system near Maxwellian
    • Guo, Y., " The Vlasov-Poisson-Boltzmann system near Maxwellian., " Commun. Pure Appl. Math. 55, 1104-1135 (2002).
    • (2002) Commun. Pure Appl. Math. , vol.55 , pp. 1104-1135
    • Guo, Y.1
  • 8
    • 0041413233 scopus 로고    scopus 로고
    • The Vlasov-Maxwell-Boltzmann system near Maxwellians
    • Guo, Y., " The Vlasov-Maxwell-Boltzmann system near Maxwellians., " Invent. Math. 153, 593-630 (2003).
    • (2003) Invent. Math. , vol.153 , pp. 593-630
    • Guo, Y.1
  • 9
    • 8844227476 scopus 로고    scopus 로고
    • The Boltzmann equation in the whole space
    • Guo, Y., " The Boltzmann equation in the whole space., " Indiana Univ. Math. J. 53, 1081-1094 (2004).
    • (2004) Indiana Univ. Math. J. , vol.53 , pp. 1081-1094
    • Guo, Y.1
  • 12
    • 33744725615 scopus 로고    scopus 로고
    • Stability of contact discontinuity for the Boltzmann equation
    • Huang, F. M., and Yang, T., " Stability of contact discontinuity for the Boltzmann equation. " Diff. Eq. (in press).
    • Diff. Eq.
    • Huang, F.M.1    Yang, T.2
  • 13
    • 34250115323 scopus 로고
    • Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
    • Kawashima, S., and Matsumura, A., " Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion., " Commun. Math. Phys. 101, 97-127 (1985).
    • (1985) Commun. Math. Phys. , vol.101 , pp. 97-127
    • Kawashima, S.1    Matsumura, A.2
  • 14
    • 0040193736 scopus 로고
    • On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation
    • Kawashima, S., Matsumura, A., and Nishida, T., " On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation., " Commun. Math. Phys. 70, 97-124 (1979).
    • (1979) Commun. Math. Phys. , vol.70 , pp. 97-124
    • Kawashima, S.1    Matsumura, A.2    Nishida, T.3
  • 15
    • 0346498040 scopus 로고    scopus 로고
    • Energy method for the Boltzmann equation
    • Liu, T.-P., Yang, T., and Yu, S.-H., " Energy method for the Boltzmann equation., " Physica D 188, 178-192 (2004).
    • (2004) Physica D , vol.188 , pp. 178-192
    • Liu, T.-P.1    Yang, T.2    Yu, S.-H.3
  • 17
    • 1842591085 scopus 로고    scopus 로고
    • Boltzmann equation: Micro-macro decompositions and positivity of shock profiles
    • Liu, T.-P., and Yu, S.-H., " Boltzmann equation: Micro-macro decompositions and positivity of shock profiles., " Commun. Math. Phys. 246, 133-179 (2004).
    • (2004) Commun. Math. Phys. , vol.246 , pp. 133-179
    • Liu, T.-P.1    Yu, S.-H.2
  • 18
    • 0002321065 scopus 로고
    • The intial value problem for the equations of motion of viscous and heat-conductive gases
    • Matsumura, A., and Nishida, T., " The intial value problem for the equations of motion of viscous and heat-conductive gases., " J. Math. Kyoto Univ. 26, 67-104 (1980).
    • (1980) J. Math. Kyoto Univ. , vol.26 , pp. 67-104
    • Matsumura, A.1    Nishida, T.2
  • 19
    • 84931471144 scopus 로고
    • Cambridge University Press, Cambridge
    • Maxwell, J. C., The Scientific Papers of James Clerk Maxwell (Cambridge University Press, Cambridge, 1890). (a) On the dynamical theory of gases. Vol. II, p. 26. (b) On stresses in rarefied gases arising from inequalities of temperature. Vol. II, p. 681.
    • (1890) The Scientific Papers of James Clerk Maxwell
    • Maxwell, J.C.1
  • 20
    • 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, 119-148 (1978).
    • (1978) Commun. Math. Phys. , vol.61 , pp. 119-148
    • Nishida, T.1
  • 21
    • 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, 179-184 (1974).
    • (1974) Proc. Jpn. Acad. , vol.50 , pp. 179-184
    • Ukai, S.1
  • 22
    • 33646594598 scopus 로고    scopus 로고
    • Global solutions to the Boltzmann equation with external forces
    • Ukai, S., Yang, T., and Zhao, H.-J., " Global solutions to the Boltzmann equation with external forces., " Anal. Appl. 3, 157-193 (2005).
    • (2005) Anal. Appl. , vol.3 , pp. 157-193
    • Ukai, S.1    Yang, T.2    Zhao, H.-J.3
  • 24
    • 17144397556 scopus 로고    scopus 로고
    • A half-space problem for the Boltzmann equation with specular reflection boundary condition
    • Yang, T., and Zhao, H.-J., " A half-space problem for the Boltzmann equation with specular reflection boundary condition., " Commun. Math. Phys. 255, 683-726 (2005).
    • (2005) Commun. Math. Phys. , vol.255 , pp. 683-726
    • Yang, T.1    Zhao, H.-J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.