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Communications in Partial Differential Equations
Volumn 21, Issue 3-4, 1996, Pages 559-571
Geometric constraints on potentially singular solutions for the 3-D Euler equations
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EID: 0000385525     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309608821197     Document Type: Article
Times cited : (241)
References (9)
  • 1
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3-D Euler equations
    • T. Kato, J.T. Beale, A. Majda, Remarks on the breakdown of smooth solutions for the 3-D Euler equations, Commun. Math. Phys. 94, 61-66 (1984).
    • (1984) Commun. Math. Phys. , vol.94 , pp. 61-66
    • Kato, T.1    Beale, J.T.2    Majda, A.3
  • 2
    • 0028388187 scopus 로고
    • Geometric statistics in turbulence
    • P. Constantin, Geometric statistics in turbulence, Siam Review, 36, (1994), 73.
    • (1994) Siam Review , vol.36 , pp. 73
    • Constantin, P.1
  • 3
    • 0038205254 scopus 로고
    • Geometric and analytic studies in turbulences
    • Trends and Perspectives in Appl. Math., L. Sirovich ed., Springer-Verlag
    • P. Constantin, Geometric and analytic studies in turbulences, in Trends and Perspectives in Appl. Math., L. Sirovich ed., Appl. Math. Sciences 100, Springer-Verlag, (1994).
    • (1994) Appl. Math. Sciences , vol.100
    • Constantin, P.1
  • 4
    • 0038543972 scopus 로고
    • Active scalars and the Euler equation
    • P. Constantin, Active Scalars and the Euler Equation, Tatra Mountain-Math. Publ., 4 (1994), 25-38.
    • (1994) Tatra Mountain-Math. Publ. , vol.4 , pp. 25-38
    • Constantin, P.1
  • 5
    • 0000646280 scopus 로고
    • Direction of vorticity and the problem of global regularity for the Navier-Stokes equations
    • P. Constantin and Ch. Fefferman, Direction of vorticity and the problem of global regularity for the Navier-Stokes equations, Indiana Univ. Math. Journal. 42 (1993), 775.
    • (1993) Indiana Univ. Math. Journal , vol.42 , pp. 775
    • Constantin, P.1    Fefferman, Ch.2
  • 6
    • 0006748306 scopus 로고
    • Singular front formation in a model for quasi-geostrophic flow
    • P. Constantin, A. Majda and E. Tabak, Singular front formation in a model for quasi-geostrophic flow, Phys. of Fluids 6, (1994), 9.
    • (1994) Phys. of Fluids , vol.6 , pp. 9
    • Constantin, P.1    Majda, A.2    Tabak, E.3
  • 7
    • 0043172071 scopus 로고
    • Formation of strong fronts in the 2D quasi-geostrophic thermal active scalar
    • P. Constantin, A. Majda, and E. Tabak, Formation of strong fronts in the 2D quasi-geostrophic thermal active scalar, Nonlinearity, 7 (1994), 1495-1533.
    • (1994) Nonlinearity , vol.7 , pp. 1495-1533
    • Constantin, P.1    Majda, A.2    Tabak, E.3
  • 8
    • 0027454950 scopus 로고
    • Evidence for a singularity of the three-dimensional incompressible Euler equations
    • R. Kerr, Evidence for a singularity of the three-dimensional incompressible Euler equations, Phys. Fluids A, 5 (1993), 1725-1746.
    • (1993) Phys. Fluids A , vol.5 , pp. 1725-1746
    • Kerr, R.1
  • 9
    • 0026222865 scopus 로고
    • Vorticity, turbulence, and acoustics in fluid flow
    • A. Majda, Vorticity, turbulence, and acoustics in fluid flow, SIAM Rev. (1991), 349-384.
    • (1991) SIAM Rev. , pp. 349-384
    • Majda, A.1

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