메뉴 건너뛰기




Volumn 29, Issue 1, 2001, Pages 288-304

Spectral gap for Kac's model of Boltzmann equation

Author keywords

Boltzmann equation; Kac's model; Spectral gap

Indexed keywords


EID: 0035533089     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1008956330     Document Type: Article
Times cited : (65)

References (9)
  • 1
    • 0033249563 scopus 로고    scopus 로고
    • Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas
    • CARLEN, E., GABETTA, E. and TOSCANI, G. (1999). Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas. Comm. Math. Phys. 199 521-546.
    • (1999) Comm. Math. Phys. , vol.199 , pp. 521-546
    • Carlen, E.1    Gabetta, E.2    Toscani, G.3
  • 2
  • 3
    • 84966199817 scopus 로고
    • Linearization for the Boltzman equation
    • GRÜNBAUM, A. (1972). Linearization for the Boltzman equation. Trans. Amer. Math. Soc. 165 425-499.
    • (1972) Trans. Amer. Math. Soc. , vol.165 , pp. 425-499
    • Grünbaum, A.1
  • 4
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their applications
    • HASTINGS, W. (1970). Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57 97-109.
    • (1970) Biometrika , vol.57 , pp. 97-109
    • Hastings, W.1
  • 5
    • 0001581984 scopus 로고
    • Foundations of kinetic theory
    • Univ. California Press, Berkeley
    • KAC, M. (1956). Foundations of kinetic theory. Proc. Third Berkeley Symp. Math. Statist. Probab. 3 171-197. Univ. California Press, Berkeley.
    • (1956) Proc. Third Berkeley Symp. Math. Statist. Probab. , vol.3 , pp. 171-197
    • Kac, M.1
  • 7
    • 21144481999 scopus 로고
    • Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
    • LU, S. L. and YAU, H. T. (1993). Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics. Comm. Math. Phys. 156 399-433.
    • (1993) Comm. Math. Phys. , vol.156 , pp. 399-433
    • Lu, S.L.1    Yau, H.T.2
  • 8
    • 0001055303 scopus 로고
    • Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
    • MCKEAN, H. (1966). Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas. Arch. Rational Mech. Anal. 2 343-367.
    • (1966) Arch. Rational Mech. Anal. , vol.2 , pp. 343-367
    • Mckean, H.1
  • 9
    • 0003311631 scopus 로고    scopus 로고
    • Asymptotic behavior of some interacting particle systems, Mc Kean-Vlasov and Boltzmann models
    • Springer, New York
    • MELEARD, S. (1996). Asymptotic behavior of some interacting particle systems, Mc Kean-Vlasov and Boltzmann models. Lecture Notes in Math. 1627. Springer, New York.
    • (1996) Lecture Notes in Math. , vol.1627
    • Meleard, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.