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Volumn 166, Issue 1, 2003, Pages 47-80

Convergence of solutions to the Boltzmann equation in the incompressible Euler limit

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EID: 0037237744     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-002-0228-3     Document Type: Article
Times cited : (83)

References (20)
  • 1
    • 0001101971 scopus 로고
    • Sur les limites asymptotiques de la théorie cinétique conduisant à la dynamique des fluides incompressibles
    • BARDOS, C., GOLSE, F., LEVERMORE, D.: Sur les limites asymptotiques de la théorie cinétique conduisant à la dynamique des fluides incompressibles. C.R. Acad. Sci. Paris 309,727-732(1989)
    • (1989) C.R. Acad. Sci. Paris , vol.309 , pp. 727-732
    • Bardos, C.1    Golse, F.2    Levermore, D.3
  • 2
    • 0001076950 scopus 로고
    • Fluid Dynamic Limits of Kinetic Equations I: Formal Derivations
    • BARDOS, C., GOLSE, F., LEVERMORE, D.: Fluid Dynamic Limits of Kinetic Equations I: Formal Derivations. J. Stat. Phys. 63, 323-344 (1991)
    • (1991) J. Stat. Phys. , vol.63 , pp. 323-344
    • Bardos, C.1    Golse, F.2    Levermore, D.3
  • 3
    • 84990619144 scopus 로고
    • Fluid dynamic limits of kinetic equations II: Convergence Proofs for the Boltzmann Equation
    • BARDOS, C., GOLSE, F., LEVERMORE, C.D.: Fluid Dynamic Limits of Kinetic Equations II: Convergence Proofs for the Boltzmann Equation. Commun. Pure Appl. Math 46, 667-753 (1993)
    • (1993) Commun. Pure Appl. Math , vol.46 , pp. 667-753
    • Bardos, C.1    Golse, F.2    Levermore, C.D.3
  • 5
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smoothness for the 3D Euler equations
    • BEALE, J., KATO, T., MAJDA, A.: Remarks on the breakdown of smoothness for the 3D Euler equations. Comm. Math. Phys 94, 61-66 (1984)
    • (1984) Comm. Math. Phys , vol.94 , pp. 61-66
    • Beale, J.1    Kato, T.2    Majda, A.3
  • 6
    • 0009886850 scopus 로고    scopus 로고
    • Kinetic Equations and Asymptotic Theory
    • B. PERTHAME L. DESVILLETTES eds., Gauthier-Villars, Paris
    • BOUCHUT, F., GOLSE, F., PULVIRENTI, M.: Kinetic Equations and Asymptotic Theory. B. PERTHAME L. DESVILLETTES eds., Series in Applied Mathematics 4, Gauthier-Villars, Paris, (2000)
    • (2000) Series in Applied Mathematics , vol.4
    • Bouchut, F.1    Golse, F.2    Pulvirenti, M.3
  • 7
    • 34250258536 scopus 로고
    • The Boltzmann equation with a soft potential. I. Linear, spatially-homogeneous
    • CAFLISCH, R.: The Boltzmann equation with a soft potential. I. Linear, spatially-homogeneous. Comm. Math. Phys 74, 71-95 (1980)
    • (1980) Comm. Math. Phys , vol.74 , pp. 71-95
    • Caflisch, R.1
  • 10
    • 0001089576 scopus 로고
    • On the Cauchy problem for the Boltzmann equation: Global existence and weak stability results
    • DlPERNA, R.J., LIONS, P.-L.: On the Cauchy Problem for the Boltzmann Equation: Global Existence and Weak Stability Results. Annals of Math. 130, 321-366 (1990)
    • (1990) Annals of Math. , vol.130 , pp. 321-366
    • Dlperna, R.J.1    Lions, P.-L.2
  • 11
    • 0002627660 scopus 로고
    • Global solutions of Boltzmann's equation and the entropy inequality
    • DlPERNA, R.J., LIONS, P.-L.: Global solutions of Boltzmann's equation and the entropy inequality. Arch. Rational Mech. Anal. 114 no. 1, 47-55 (1991)
    • (1991) Arch. Rational Mech. Anal. , vol.114 , Issue.1 , pp. 47-55
    • Dlperna, R.J.1    Lions, P.-L.2
  • 12
    • 0036108339 scopus 로고    scopus 로고
    • Stokes-Fourier and acoustic limits for the Boltzmann equation: Convergence proofs
    • GOLSE, F., LEVERMORE, C.D.: Stokes-Fourier and acoustic limits for the Boltzmann equation: convergence proofs. Comm. Pure Appl. Math. 55, 336-393 (2002)
    • (2002) Comm. Pure Appl. Math. , vol.55 , pp. 336-393
    • Golse, F.1    Levermore, C.D.2
  • 14
    • 2442508090 scopus 로고    scopus 로고
    • The Navier-Stokes limit of the Boltzmann equation: Convergence proof
    • GOLSE, F., SAINT-RAYMOND, L.: The Navier-Stokes Limit of the Boltzmann Equation: Convergence Proof. (Submitted to Invent. Math)
    • Invent. Math
    • Golse, F.1    Saint-Raymond, L.2
  • 15
    • 0003138434 scopus 로고
    • Asymptotic theory of the Boltzmann equation. Rarefied gas dynamics
    • Palais de l'UNESCO, Paris
    • GRAD, H.: Asymptotic theory of the Boltzmann equation. Rarefied Gas Dynamics (Proc. 3rd Internat. Sympos., Palais de l'UNESCO, Paris, 1962), Vol. I pp. 26-59
    • (1962) Proc. 3rd Internat. Sympos. , vol.1 , pp. 26-59
    • Grad, H.1
  • 16
    • 0003280262 scopus 로고    scopus 로고
    • Mathematical topics in fluid mechanics, Vol. 1: Incompressible models
    • Oxford Science Publications. The Clarendon Press, Oxford University Press, New York
    • LIONS, P.-L.: Mathematical Topics in Fluid Mechanics, Vol. 1: Incompressible Models. Oxford Lecture Series in Mathematics and its Applications, 3. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York (1996)
    • (1996) Oxford Lecture Series in Mathematics and Its Applications , vol.3
    • Lions, P.-L.1
  • 17
    • 0035614842 scopus 로고    scopus 로고
    • From Boltzmann equations to the stokes and Euler equations II
    • LIONS, P.-L., MASMOUDI, N.: From Boltzmann Equations to the Stokes and Euler Equations II. Arch. Rational Mech. Anal. 158, 195-211 (2001)
    • (2001) Arch. Rational Mech. Anal. , vol.158 , pp. 195-211
    • Lions, P.-L.1    Masmoudi, N.2
  • 18
    • 0038619739 scopus 로고    scopus 로고
    • Du modèle BGK de l'équation de Boltzmann aux équations d'Euler des fluides incompressibles
    • SAINT-RAYMOND, L.: Du modèle BGK de l'équation de Boltzmann aux équations d'Euler des fluides incompressibles. (To appear in Bull. Sci. Math.)
    • Bull. Sci. Math.
    • Saint-Raymond, L.1
  • 19
    • 0003135582 scopus 로고
    • Relative entropy and hydrodynamics of Ginzburg-Landau models
    • YAU, H.T.: Relative entropy and hydrodynamics of Ginzburg-Landau models. Lett. Math. Phys. 22 no. 1, 63-80 (1991)
    • (1991) Lett. Math. Phys. , vol.22 , Issue.1 , pp. 63-80
    • Yau, H.T.1
  • 20
    • 0001751564 scopus 로고
    • Non stationary flows of an ideal incompressible fluid
    • YUDOVICH, V.: Non stationary flows of an ideal incompressible fluid. Zh. Vych. Math. 3, 1032-1066 (1963)
    • (1963) Zh. Vych. Math. , vol.3 , pp. 1032-1066
    • Yudovich, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.