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Volumn 171, Issue 5, 2004, Pages 21-64

Solution of a Model Boltzmann Equation via Steepest Descent in the 2-Wasserstein Metric

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EID: 2142661459     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-003-0296-z     Document Type: Article
Times cited : (39)

References (21)
  • 1
    • 0000836987 scopus 로고
    • Quasilinear elliptic-parabolic differential equations
    • ALT, H.W., LUCKHAUS, S.: Quasilinear elliptic-parabolic differential equations. Math. Zeitschrift 183, 311-341 (1983)
    • (1983) Math. Zeitschrift , vol.183 , pp. 311-341
    • Alt, H.W.1    Luckhaus, S.2
  • 2
    • 0002665670 scopus 로고
    • Régularité précisse des moyennes dans les équations de transport
    • BÉZARD, M.: Régularité précisse des moyennes dans les équations de transport. Bull. Soc. Math. France 122, 29-76 (1994)
    • (1994) Bull. Soc. Math. France , vol.122 , pp. 29-76
    • Bézard, M.1
  • 3
    • 0003427848 scopus 로고    scopus 로고
    • Edited by B. PERTAHE & L. DESVILETTES, Series in Applied Mathematics, Gautheir-Valars, Paris
    • BOUCHUT, F., GOLSE, F., PULVIRENTI, M.: Kinetic equations and asymptotic theory. Edited by B. PERTAHE & L. DESVILETTES, Series in Applied Mathematics 4, Gautheir-Valars, Paris, 2000
    • (2000) Kinetic Equations and Asymptotic Theory , vol.4
    • Bouchut, F.1    Golse, F.2    Pulvirenti, M.3
  • 4
    • 0000229982 scopus 로고
    • Weitere Studien über das Wäregleichgewicht unter Gasmolekülen
    • BOLTZMANN, L.: Weitere Studien über das Wäregleichgewicht unter Gasmolekülen. Sitzungberichte Akad. Wiss. Vienna 66, 275-370 (1872)
    • (1872) Sitzungberichte Akad. Wiss. Vienna , vol.66 , pp. 275-370
    • Boltzmann, L.1
  • 9
    • 0001089576 scopus 로고
    • On the Cauchy problem for Boltzmann equations
    • DIPERNA, L.A., LIONS, P.L.: On the Cauchy problem for Boltzmann equations. Ann. Math. 130, 321-366 (1989)
    • (1989) Ann. Math. , vol.130 , pp. 321-366
    • DiPerna, L.A.1    Lions, P.L.2
  • 10
    • 0002627660 scopus 로고
    • Global solutions of Boltzmann's equation and the entropy inequality
    • DIPERNA, L.A., LIONS, P.L.: Global solutions of Boltzmann's equation and the entropy inequality. Arch. Rational Mech. Anal. 114, 47-55 (1991)
    • (1991) Arch. Rational Mech. Anal. , vol.114 , pp. 47-55
    • Diperna, L.A.1    Lions, P.L.2
  • 12
    • 0032343437 scopus 로고    scopus 로고
    • The variational formulation of the Fokker-Planck equation
    • JORDAN, R., KINDERLEHER, D., OTTO, F.: The variational formulation of the Fokker-Planck equation. SIAM J. Math. Anal. 29, 1-17 (1998)
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1-17
    • Jordan, R.1    Kinderleher, D.2    Otto, F.3
  • 13
    • 2142794272 scopus 로고    scopus 로고
    • Graduate Studies in Math, Amer. Math Soc., Providence
    • LIEB, E., LOSS, M.: Analysis. Graduate Studies in Math, Volume 14, Amer. Math Soc., Providence, 1997
    • (1997) Analysis , vol.14
    • Lieb, E.1    Loss, M.2
  • 15
    • 0031161793 scopus 로고    scopus 로고
    • A convexity principle for interacting gases
    • MCCANN, R.J.: A convexity principle for interacting gases. Adv. Math. 128, 153-179 (1997)
    • (1997) Adv. Math. , vol.128 , pp. 153-179
    • McCann, R.J.1
  • 17
    • 84948869233 scopus 로고
    • The characterization of functions arising as potentials I
    • STEIN, E.: The characterization of functions arising as potentials I. Bull. Am. Math. Soc. 67, 102-104 (1961)
    • (1961) Bull. Am. Math. Soc. , vol.67 , pp. 102-104
    • Stein, E.1
  • 18
    • 84966249388 scopus 로고
    • The characterization of functions arising as potentials II
    • STEIN, E.: The characterization of functions arising as potentials II. Bull. Am. Math. Soc. 68, 577-582 (1962)
    • (1962) Bull. Am. Math. Soc. , vol.68 , pp. 577-582
    • Stein, E.1
  • 19
    • 0030551055 scopus 로고    scopus 로고
    • Transportation cost for Gaussian and other product measures
    • TALAGRAND, M.: Transportation cost for Gaussian and other product measures. Geom. Func. Anal. 6, 587-600 (1996)
    • (1996) Geom. Func. Anal. , vol.6 , pp. 587-600
    • Talagrand, M.1
  • 21
    • 0001559554 scopus 로고    scopus 로고
    • Generalization of an inequality by Talagrand and its links with the logarithmic Sobolev inequality
    • VILLLANI, C.: Generalization of an inequality by Talagrand and its links with the logarithmic Sobolev inequality. J. Func. Anal. 173, 361-400 (2000)
    • (2000) J. Func. Anal. , vol.173 , pp. 361-400
    • Villlani, C.1


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