메뉴 건너뛰기




Volumn 183, Issue 1, 1997, Pages 145-160

A Maxwellian lower bound for solutions to the Boltzmann equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031538651     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02509799     Document Type: Article
Times cited : (68)

References (16)
  • 2
    • 0000332895 scopus 로고
    • ∞-estimates for the space homogeneous Boltzmann equation
    • ∞-estimates for the space homogeneous Boltzmann equation. J. Statist. Phys. 31, 347-361 (1982)
    • (1982) J. Statist. Phys. , vol.31 , pp. 347-361
    • Arkeryd, L.1
  • 3
    • 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. Scient. Rev. c7, 111-233 (1988)
    • (1988) Sov. Scient. Rev. , vol.C7 , pp. 111-233
    • Bobylev, A.V.1
  • 4
    • 0040330066 scopus 로고
    • Sur la solution de l'equation intégrodifferential de Boltzmann
    • Carleman, T.: Sur la solution de l'equation intégrodifferential de Boltzmann. Acta Math. 60, 91-146 (1933)
    • (1933) Acta Math. , vol.60 , pp. 91-146
    • Carleman, T.1
  • 6
    • 21344493381 scopus 로고
    • Entropy production estimates for Boltzmann equations with physically realistic collision kernels
    • Carlen, E.A., Carvalho, M.C.: Entropy production estimates for Boltzmann equations with physically realistic collision kernels. J. Statist. Phys. 74, Nos. 3/4, 743-782 (1994)
    • (1994) J. Statist. Phys. , vol.74 , Issue.3-4 , pp. 743-782
    • Carlen, E.A.1    Carvalho, M.C.2
  • 7
    • 0003481857 scopus 로고
    • The theory and application of the Boltzmann equation
    • New York: Springer
    • Cercignani, C.: The theory and application of the Boltzmann equation. Applied Mathematical Sciences 67, New York: Springer, 1988
    • (1988) Applied Mathematical Sciences , vol.67
    • Cercignani, C.1
  • 8
    • 0001035667 scopus 로고
    • Entropy dissipation rate and convergence in kinetic equations
    • Desvillettes, L.: Entropy dissipation rate and convergence in kinetic equations. Commun. Math. Phys. 123, 687-702 (1989)
    • (1989) Commun. Math. Phys. , vol.123 , pp. 687-702
    • Desvillettes, L.1
  • 9
    • 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
  • 10
    • 0001089576 scopus 로고
    • On the Cauchy problem for the Boltzmann equation; global existence and weak stability
    • DiPerna, R., Lions, P.-L.: On the Cauchy problem for the Boltzmann equation; global existence and weak stability. Ann. Math. 130, 321-366 (1989)
    • (1989) Ann. Math. , vol.130 , pp. 321-366
    • DiPerna, R.1    Lions, P.-L.2
  • 12
    • 21344480688 scopus 로고
    • On convergence to equilibrium for Kac's caricature of a Maxwell gas
    • Gabetta, E., Toscani, G.: On convergence to equilibrium for Kac's caricature of a Maxwell gas. J. Math. Phys. 35, 1 (1994)
    • (1994) J. Math. Phys. , vol.35 , pp. 1
    • Gabetta, E.1    Toscani, G.2
  • 14
    • 0001055303 scopus 로고
    • Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
    • McKean, H.P., Jr.: 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
  • 15
    • 85033094735 scopus 로고    scopus 로고
    • Lower bounds for the solution to the Kac and the Boltzmann equation
    • Pulvirenti, A., Wennberg, B.: Lower bounds for the solution to the Kac and the Boltzmann equation. To appear in Transp. Theory Stat. Phys.
    • Transp. Theory Stat. Phys.
    • Pulvirenti, A.1    Wennberg, B.2
  • 16
    • 0001614518 scopus 로고
    • On an entropy dissipation inequality for the Boltzmann equation
    • Wennberg, B.: On an entropy dissipation inequality for the Boltzmann equation. C.R. Acad. Sci. Paris t. 315, Série 1, 1441-1446 (1992)
    • (1992) C.R. Acad. Sci. Paris T. 315, Série , vol.1 , pp. 1441-1446
    • Wennberg, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.