메뉴 건너뛰기




Volumn 199, Issue 3, 1999, Pages 521-546

Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033249563     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050511     Document Type: Article
Times cited : (82)

References (25)
  • 1
    • 0000224209 scopus 로고
    • 1 for the spatially homogeneous boltzmann equation
    • 1 for the spatially homogeneous Boltzmann equation. Arch. Rat. Mech. Anal. 103, 151-167 (1988)
    • (1988) Arch. Rat. Mech. Anal. , vol.103 , pp. 151-167
    • Arkeryd, L.1
  • 2
    • 0000411415 scopus 로고
    • The theory of the nonlinear spatially uniform boltzmann equation for maxwellian molecules
    • Bobylev, A.V.: The theory of the nonlinear spatially uniform Boltzmann equation for Maxwellian molecules. Sov. Sci. Rev. c 7, 111-233 (1988)
    • (1988) Sov. Sci. Rev. C , vol.7 , pp. 111-233
    • Bobylev, A.V.1
  • 3
    • 0001288577 scopus 로고
    • On the generalization of the boltzmann h-theorem for a spatially homogeneous maxwell gas
    • Bobylev, A.V., Toscani, G.: On the generalization of the Boltzmann H-theorem for a spatially homogeneous Maxwell gas. J. Math. Phys. 33, 2578-2586 (1992)
    • (1992) J. Math. Phys. , vol.33 , pp. 2578-2586
    • Bobylev, A.V.1    Toscani, G.2
  • 7
    • 0002356751 scopus 로고
    • Strict entropy production bounds and stability of the rate of convergence to equilibrium for the boltzmann equation
    • Carlen, E.A., Carvalho, M.C.: Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation. J. Stat. Phys. 67, 575-608 (1992)
    • (1992) J. Stat. Phys. , vol.67 , pp. 575-608
    • Carlen, E.A.1    Carvalho, M.C.2
  • 9
  • 10
    • 0020633583 scopus 로고
    • Global boundedness of moments of solutions of the boltzmann equation for forces of infinite range
    • Elmroth, T.: Global boundedness of moments of solutions of the Boltzmann equation for forces of infinite range. Arch. Rat. Mech. Anal. 82, 1-12 (1983)
    • (1983) Arch. Rat. Mech. Anal. , vol.82 , pp. 1-12
    • Elmroth, T.1
  • 11
    • 21844483733 scopus 로고
    • On the regularizing properties of the non cut-off kac equation
    • Desvillettes, L.: On the regularizing properties of the non cut-off Kac equation. Commun. Math. Phys. 168, 417-440 (1995)
    • (1995) Commun. Math. Phys. , vol.168 , pp. 417-440
    • Desvillettes, L.1
  • 12
    • 21844481532 scopus 로고
    • On a conjecture of mckean with application to kac's model
    • Gabetta, E.: On a conjecture of McKean with application to Kac's model. Trans. Theo. Stat. Phys. 24, 305-317 (1995)
    • (1995) Trans. Theo. Stat. Phys. , vol.24 , pp. 305-317
    • Gabetta, E.1
  • 13
    • 0038863138 scopus 로고
    • About the non cut-off kac equation: Uniqueness and asymptotic behaviour
    • Pubbl. Istituto Analisi Numerica CNR Pavia, in press
    • Gabetta, E., Pareschi, L.: About the non cut-off Kac equation: Uniqueness and asymptotic behaviour. Pubbl. Istituto Analisi Numerica CNR n. 911, Pavia, 1994, Comm. Nonlinear Appl. Math, in press
    • (1994) Comm. Nonlinear Appl. Math , vol.911
    • Gabetta, E.1    Pareschi, L.2
  • 14
    • 0009389208 scopus 로고
    • Boundedness of moments and trend to equilibrium for the non "cut-off" kac equation
    • Preprint n. 227, Dip. Matematica Università di Ferrara, in press
    • Gabetta, E., Pareschi, L.: Boundedness of moments and trend to equilibrium for the non "cut-off" Kac equation. Preprint n. 227, Dip. Matematica Università di Ferrara, 1995, Rend. Sem. Math. Palermo, in press
    • (1995) Rend. Sem. Math. Palermo
    • Gabetta, E.1    Pareschi, L.2
  • 15
    • 21844510511 scopus 로고
    • Metrics for probability distributions and the trend to equilibrium for solutions of the boltzmann equation
    • Gabetta, E., Toscani, G., Wennberg, B.: 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
  • 16
    • 0002311390 scopus 로고
    • On the pressure and the flux of energy according to maxwell's kinetic energy I
    • Ikenberry, E., Truesdell, C.: On the pressure and the flux of energy according to Maxwell's kinetic energy I. J. Rat. Mech. Anal. 5, 1-54 (1956)
    • (1956) J. Rat. Mech. Anal. , vol.5 , pp. 1-54
    • Ikenberry, E.1    Truesdell, C.2
  • 18
    • 0001055303 scopus 로고
    • Speed of approach to equilibrium for kac's caricature of a maxwellian gas
    • McKean Jr., H.P.: Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas. Arch. Rational Mech. Anal. 21, 343-367 (1966)
    • (1966) Arch. Rational Mech. Anal. , vol.21 , pp. 343-367
    • McKean H.P., Jr.1
  • 19
    • 0001255798 scopus 로고
    • Compactness in boltzmann's equation via fourier integral operators and applications III
    • Lions, PL.: Compactness in Boltzmann's equation via Fourier integral operators and applications III. J. Math. Kyoto Univ. 34, 539-584 (1994)
    • (1994) J. Math. Kyoto Univ. , vol.34 , pp. 539-584
    • Lions, P.L.1
  • 20
    • 0001588111 scopus 로고
    • A sthrenghtened central limit theorem for smooth densities
    • Lions, P.L., Toscani, G.: A sthrenghtened central limit theorem for smooth densities. J. Funct. Anal. 128, 148-167 (1995)
    • (1995) J. Funct. Anal. , vol.128 , pp. 148-167
    • Lions, P.L.1    Toscani, G.2
  • 21
    • 0002364870 scopus 로고
    • New a priori estimates for the spatially homogeneous boltzmann equation
    • Toscani, G.: New a priori estimates for the spatially homogeneous Boltzmann equation. Cont. Mech. Termodyn. 4, 81-93 (1992)
    • (1992) Cont. Mech. Termodyn. , vol.4 , pp. 81-93
    • Toscani, G.1
  • 22
    • 0009378340 scopus 로고
    • On regularity and asymptotic behaviour of a spatially homogeneous maxwell gas
    • Preprint in press
    • Toscani, G.: On regularity and asymptotic behaviour of a spatially homogeneous Maxwell gas. Preprint (1995); Rend. Seminario Matem. Palermo, in press
    • (1995) Rend. Seminario Matem. Palermo
    • Toscani, G.1
  • 23
    • 0009951051 scopus 로고
    • The kinetic theory of gases
    • eds. J. de Boer and G.E. Uhlenbeck, Amsterdam: North Holland Publishing Co., (This is a collection of Michigan Research Institute Reports written by the authors during the period 1948 to 1956)
    • Wang Chang, C.S., Uhlenbeck, G.E.: The kinetic Theory of Gases. In: Studies in Statistical mechanics V, eds. J. de Boer and G.E. Uhlenbeck, Amsterdam: North Holland Publishing Co., 1970 (This is a collection of Michigan Research Institute Reports written by the authors during the period 1948 to 1956)
    • (1970) Studies in Statistical Mechanics V
    • Wang Chang, C.S.1    Uhlenbeck, G.E.2
  • 25
    • 0001210972 scopus 로고
    • Regularity in the boltzmann equation and the radon transform
    • Wennberg, B.: Regularity in the Boltzmann equation and the Radon transform. Commun. Part. Diff. Eq. 19, 2057-2074 (1994)
    • (1994) Commun. Part. Diff. Eq. , vol.19 , pp. 2057-2074
    • Wennberg, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.