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Volumn 9, Issue 2, 2011, Pages 113-134

The Boltzmann equation without angular cutoff in the whole space: II, global existence for hard potential

Author keywords

Boltzmann equation; global existence; non cutoff hard potentials

Indexed keywords


EID: 79959709918     PISSN: 02195305     EISSN: 17936861     Source Type: Journal    
DOI: 10.1142/S0219530511001777     Document Type: Article
Times cited : (95)

References (19)
  • 1
    • 79953749528 scopus 로고    scopus 로고
    • A review of Boltzmann equation with singular kernels
    • R. Alexandre, A review of Boltzmann equation with singular kernels, Kinetic and Rel ated M odels 2-4 (2009) 551-646.
    • (2009) Kinetic and Rel Ated Models , vol.2-4 , pp. 551-646
    • Alexandre, R.1
  • 5
    • 79955770643 scopus 로고    scopus 로고
    • Global existence and full regularity of the Boltzmann equation without angular cutoff
    • R. Alexandre, Y. Morimoto, S. Ukai, C.-J. Xu and T. Yang, Global existence and full regularity of the Boltzmann equation without angular cutoff, to appear in Comm. Math. Phys.
    • Comm. Math. Phys
    • Alexandre, R.1    Morimoto, Y.2    Ukai, S.3    Xu, C.-J.4    Yang, T.5
  • 6
    • 77955768684 scopus 로고    scopus 로고
    • Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff
    • R. Alexandre, Y. Morimoto, S. Ukai, C.-J. Xu and T. Yang, Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff, C. R. Math. Acad. Sci. Paris Ser. I 348 (2010) 867-871.
    • (2010) C. R. Math. Acad. Sci. Paris Ser. i , vol.348 , pp. 867-871
    • Alexandre, R.1    Morimoto, Y.2    Ukai, S.3    Xu, C.-J.4    Yang, T.5
  • 7
    • 84155195145 scopus 로고    scopus 로고
    • Boltzmann equation without angular cutoff in the whole space: I, global existence for soft potential
    • R. Alexandre, Y. Morimoto, S. Ukai, C.-J. Xu and T. Yang, Boltzmann equation without angular cutoff in the whole space: I, global existence for soft potential, to appear in J. Funct. Anal.
    • J. Funct. Anal
    • Alexandre, R.1    Morimoto, Y.2    Ukai, S.3    Xu, C.-J.4    Yang, T.5
  • 9
    • 0003287218 scopus 로고
    • The boltzmann equation and its applications
    • Springer-Verlag
    • C. Cercignani, The Boltzmann Equation and Its Applications, Applied Mathematical Sciences, Vol. 67 (Springer-Verlag, 1988).
    • (1988) Applied Mathematical Sciences , vol.67
    • Cercignani, C.1
  • 10
    • 0001089576 scopus 로고
    • On the cauchy problem for boltzmann equations: Global existence and weak stability
    • R. J. DiPerna and P. L. Lions, On the Cauchy problem for Boltzmann equations: Global existence and weak stability, Ann. Math. 130 (1989) 321-366.
    • (1989) Ann. Math. , vol.130 , pp. 321-366
    • Diperna, R.J.1    Lions, P.L.2
  • 11
    • 0003138434 scopus 로고
    • Asymptotic theory of the boltzmann equation II
    • ed. J. A. Laurmann Academic Press, New York
    • H. Grad, Asymptotic Theory of the Boltzmann Equation II, Rarefied gas dynamics, ed. J. A. Laurmann, Vol. 1 (Academic Press, New York, 1963), pp. 26-59.
    • (1963) Rarefied Gas Dynamics , vol.1 , pp. 26-59
    • Grad, H.1
  • 12
    • 77950530316 scopus 로고    scopus 로고
    • Global classical solutions of the Boltzmann equation with long-range interactions
    • P.-T. Gressman and R.-M. Strain, Global classical solutions of the Boltzmann equation with long-range interactions, Proc. Nat. Acad. Sci. 107 (2010) 5744-5749.
    • (2010) Proc. Nat. Acad. Sci. , vol.107 , pp. 5744-5749
    • Gressman, P.-T.1    Strain, R.-M.2
  • 14
    • 0036882740 scopus 로고    scopus 로고
    • The Landau equation in a periodic box
    • Y. Guo, The Landau equation in a periodic box, Comm. Math. Phys. 231 (2002) 391-434.
    • (2002) Comm. Math. Phys. , vol.231 , pp. 391-434
    • Guo, Y.1
  • 15
    • 8844227476 scopus 로고    scopus 로고
    • The Boltzmann equation in the whole space
    • DOI 10.1512/iumj.2004.53.2574
    • Y. Guo, The Boltzmann equation in the whole space, Indiana Univ. Math. J. 53(4) (2004) 1081-1094. (Pubitemid 39532751)
    • (2004) Indiana University Mathematics Journal , vol.53 , Issue.4 , pp. 1081-1094
    • Guo, Y.1
  • 16
    • 34248226318 scopus 로고    scopus 로고
    • Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff
    • C. Mouhot and R. M. Strain, Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff, J. Math. Pures Appl. (9) 87(5) (2007) 515-535.
    • (2007) J. Math. Pures Appl. (9) , vol.87 , Issue.5 , pp. 515-535
    • Mouhot, C.1    Strain, R.M.2
  • 17
    • 84980156986 scopus 로고
    • Boltzmann collision operator with inverse power intermolecular potential, I, II
    • 559-581
    • Y. P. Pao, Boltzmann collision operator with inverse power intermolecular potential, I, II, Commun. Pure Appl. Math. 27 (1974) 407-428, 559-581.
    • (1974) Commun. Pure Appl. Math. , vol.27 , pp. 407-428
    • Pao, Y.P.1
  • 18
    • 77957066266 scopus 로고
    • Solutions of the Boltzmann equation, pattern and waves - Qualitative analysis of nonlinear differential equations
    • eds. M. Mimura and T. Nishida Kinokuniya- North-Holland, Tokyo
    • S. Ukai, Solutions of the Boltzmann equation, Pattern and Waves - Qualitative Analysis of Nonlinear Differential Equations, eds. M. Mimura and T. Nishida, Studies of Mathematics and Its Applications, Vol. 18 (Kinokuniya-North-Holland, Tokyo, 1986), pp. 37-96.
    • (1986) Studies of Mathematics and Its Applications , vol.18 , pp. 37-96
    • Ukai, S.1


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