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Volumn 12, Issue 7, 1999, Pages 19-25

Remarks on entropy and equilibrium states

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EID: 0008429514     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(99)00096-8     Document Type: Article
Times cited : (18)

References (14)
  • 1
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    • Entropy is the only increasing functional of Kac's one-dimensional caricature of a Maxwellian gas
    • H.P. McKean, Jr., Entropy is the only increasing functional of Kac's one-dimensional caricature of a Maxwellian gas, Z. Wahrsheinlichkeitteorie 2, 167-172, (1963).
    • (1963) Z. Wahrsheinlichkeitteorie , vol.2 , pp. 167-172
    • McKean H.P., Jr.1
  • 5
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    • On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
    • C. Villani, On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations, Arch. Rat. Mech. Anal. 143, 241-271, (1998).
    • (1998) Arch. Rat. Mech. Anal. , vol.143 , pp. 241-271
    • Villani, C.1
  • 8
    • 0000489740 scopus 로고
    • Information-type measures of difference of probability distributions and indrect observations
    • I. Csiszar, Information-type measures of difference of probability distributions and indrect observations, Stud. Sci. Math. Hung. 2, 299-318, (1967).
    • (1967) Stud. Sci. Math. Hung. , vol.2 , pp. 299-318
    • Csiszar, I.1
  • 9
    • 84968502599 scopus 로고
    • The asymptotic behavior of gas in an N-dimensional porous medium
    • A. Friedman and S. Kamin, The asymptotic behavior of gas in an N-dimensional porous medium, Trans. Amer. Math. Soc. 262, 551-563, (1980).
    • (1980) Trans. Amer. Math. Soc. , vol.262 , pp. 551-563
    • Friedman, A.1    Kamin, S.2
  • 10
    • 0005120141 scopus 로고
    • A Liapunov functional for the evolution of solutions to the porous medium equation to self-similarity I
    • W.J. Newman, A Liapunov functional for the evolution of solutions to the porous medium equation to self-similarity I, J. Math. Phys. 25, 3120-3123, (1984).
    • (1984) J. Math. Phys. , vol.25 , pp. 3120-3123
    • Newman, W.J.1
  • 11
    • 21544471965 scopus 로고    scopus 로고
    • 1-decay of the solutions of the porous medium equation to self-similarity
    • 1-decay of the solutions of the porous medium equation to self-similarity, Indiana Math. J., (1998).
    • (1998) Indiana Math. J.
    • Carrillo, J.A.1    Toscani, G.2
  • 12
    • 21844510511 scopus 로고
    • Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation
    • E. Gabetta, G. Toscani and B. Wennberg, Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation, J. Stat. Phys. 81, 901-934, (1995).
    • (1995) J. Stat. Phys. , vol.81 , pp. 901-934
    • Gabetta, E.1    Toscani, G.2    Wennberg, B.3
  • 13
    • 85034134731 scopus 로고    scopus 로고
    • Sharp entropy dissipation bounds and explicit rate of trend to equilibrium for the spatially homogeneous Bolzmann equation
    • to appear
    • G. Toscani and C. Villani, Sharp entropy dissipation bounds and explicit rate of trend to equilibrium for the spatially homogeneous Bolzmann equation, Commun. Math. Phys. (to appear).
    • Commun. Math. Phys.
    • Toscani, G.1    Villani, C.2
  • 14
    • 84941465845 scopus 로고
    • A lower bound for discrimenation information in terms of variation
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    • (1967) IEEE Trans. Inf. The. , vol.4 , pp. 126-127
    • Kullback, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.