메뉴 건너뛰기




Volumn 212, Issue 1, 2000, Pages 93-104

Derivation of the Euler equations from a caricature of Coulomb interaction

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034349274     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200000204     Document Type: Article
Times cited : (20)

References (17)
  • 2
    • 0002602109 scopus 로고    scopus 로고
    • Two discrete models for semi-geostrophic dynamics
    • [BN] Baigent, S., Norbury, J.: Two discrete models for semi-geostrophic dynamics. Phys. D 109, 333-342 (1997)
    • (1997) Phys. D , vol.109 , pp. 333-342
    • Baigent, S.1    Norbury, J.2
  • 3
    • 0000141020 scopus 로고
    • Global classical solutions of the periodic Vlasov-Poisson system
    • [BR] Batt, J., Rein, G.: Global classical solutions of the periodic Vlasov-Poisson system. C.R. Acad. Sci. Paris 313, 411-416 (1991)
    • (1991) C.R. Acad. Sci. Paris , vol.313 , pp. 411-416
    • Batt, J.1    Rein, G.2
  • 4
    • 0032187452 scopus 로고    scopus 로고
    • Weak existence for the semigeostrophic equations formulated as a coupled Monge-Ampère/transport problem
    • [BB] Benamou, J.-D., Brenier, Y.: Weak existence for the semigeostrophic equations formulated as a coupled Monge-Ampère/transport problem. SIAM J. Appl. Math. 58, 1450-1461 (1998)
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 1450-1461
    • Benamou, J.-D.1    Brenier, Y.2
  • 5
    • 84990623199 scopus 로고
    • Polar factorization and monotone rearrangement of vector-valued functions
    • [Br] Brenier, Y.: Polar factorization and monotone rearrangement of vector-valued functions. Comm. Pure Appl. Math. 44, 375-417 (1991)
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 375-417
    • Brenier, Y.1
  • 6
    • 0033483717 scopus 로고    scopus 로고
    • Minimal geodesics on groups of volume-preserving maps
    • [Br2] Brenier, Y: Minimal geodesics on groups of volume-preserving maps. Comm. Pure Appl. Math. 52, 411-452 (1999)
    • (1999) Comm. Pure Appl. Math. , vol.52 , pp. 411-452
    • Brenier, Y.1
  • 7
    • 0001744061 scopus 로고
    • The motion of slightly compressible fluids viewed as a motion with strong constraining force
    • [Eb] Ebin, D.: The motion of slightly compressible fluids viewed as a motion with strong constraining force. Ann. of Math. 2105, 141-200 (1977)
    • (1977) Ann. Of Math , vol.2105 , pp. 141-200
    • Ebin, D.1
  • 8
    • 84990563964 scopus 로고
    • Boundary regularity of maps with convex potentials
    • [Ca] Caffarelli, L.: Boundary regularity of maps with convex potentials. Comm. Pure Appl. Math. 45, 1141-1151 (1992)
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 1141-1151
    • Caffarelli, L.1
  • 9
    • 0026112879 scopus 로고
    • Generalised Lagrangian solutions for atmospheric and oceanic flows
    • [CNP] Cullen, M., Norbury, J., Purser, J.: Generalised Lagrangian solutions for atmospheric and oceanic flows. SIAM J. Appl. Math. 51, 20-31 (1991)
    • (1991) SIAM J. Appl. Math. , vol.51 , pp. 20-31
    • Cullen, M.1    Norbury, J.2    Purser, J.3
  • 10
    • 0031503817 scopus 로고    scopus 로고
    • Pseudo-differential energy estimates of singular perturbations
    • [Gr] Grenier, E.: Pseudo-differential energy estimates of singular perturbations. Comm. Pure Appl. Math. 50 821-865 (1997)
    • (1997) Comm. Pure Appl. Math. , vol.50 , pp. 821-865
    • Grenier, E.1
  • 11
    • 0019896504 scopus 로고
    • The mathematical theory of frontogenesis
    • Palo Alto
    • [Ho] Hoskins, B.: The mathematical theory of frontogenesis. Annual review of fluid mechanics. Vol. 14, Palo Alto, 1982 pp. 131-151
    • (1982) Annual Review of Fluid Mechanics , vol.14 , pp. 131-151
    • Hoskins, B.1
  • 12
    • 84980139695 scopus 로고
    • Approximation of measure preserving transformations
    • [La] Lax, P.: Approximation of measure preserving transformations. Comm. Pure Appl. Math. 24 133-135 (1971)
    • (1971) Comm. Pure Appl. Math. , vol.24 , pp. 133-135
    • Lax, P.1
  • 13
    • 0001599323 scopus 로고
    • Concentrations in the one-dimensional Vlasov-Poisson equations. I. Temporal development and non-unique weak solutions in the single component case
    • [MMZ] Majda, A., Majda, G., Zheng, Y.X.: Concentrations in the one-dimensional Vlasov-Poisson equations. I. Temporal development and non-unique weak solutions in the single component case. Phys. D 74, 268-300 (1994)
    • (1994) Phys. D , vol.74 , pp. 268-300
    • Majda, A.1    Majda, G.2    Zheng, Y.X.3
  • 15
    • 0002339446 scopus 로고
    • Motion under a strong constraining force
    • [RU] Rubin, H., Ungar, P.: Motion under a strong constraining force. Comm. Pure Appl. Math. 10, 65-87 (1957)
    • (1957) Comm. Pure Appl. Math. , vol.10 , pp. 65-87
    • Rubin, H.1    Ungar, P.2
  • 16
    • 0001586642 scopus 로고
    • Generalized fluid flows, their approximation and applications
    • [Sh] Shnirelman, A.I.: Generalized fluid flows, their approximation and applications. Geom. Funct. Anal. 4 586-620 (1994)
    • (1994) Geom. Funct. Anal. , vol.4 , pp. 586-620
    • Shnirelman, A.I.1
  • 17
    • 84990610649 scopus 로고
    • Existence of global weak solutions to one-component Vlasov-Poisson and Fokker-Planck-Poisson systems in one space dimension with measures as initial data
    • [ZM] Zheng, Y.X., Majda, A.: Existence of global weak solutions to one-component Vlasov-Poisson and Fokker-Planck-Poisson systems in one space dimension with measures as initial data. Comm. Pure Appl. Math. 47, 1365-1401 (1994)
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 1365-1401
    • Zheng, Y.X.1    Majda, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.