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Volumn 50, Issue 1, 2001, Pages 509-552

Singular integral system approach to regularity of 3D vortex patches

Author keywords

Axisymmetric flows; Incompressible Euler system; Newtonian potentials; Singular integral systems; Vortex patches; Vorticity equations

Indexed keywords


EID: 0041075612     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.2001.50.1802     Document Type: Article
Times cited : (17)

References (19)
  • 1
    • 0009139912 scopus 로고
    • Remarques sur l'apparition de singularités dans les ecoulements euleriens incompressibles a donnée initiale holderienne
    • H. BAHOURI & B. DEHMAN, Remarques sur l'apparition de singularités dans les ecoulements euleriens incompressibles a donnée initiale holderienne, J. Math. Pures Appl. 73 (1994), 335-346.
    • (1994) J. Math. Pures Appl. , vol.73 , pp. 335-346
    • Bahouri, H.1    Dehman, B.2
  • 3
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for 3D Euler equations
    • J.T. BEALS, T. KATO & A. MAJDA, Remarks on the breakdown of smooth solutions for 3D Euler equations, Comm. Math. Phys. 94 (1984), 61-66.
    • (1984) Comm. Math. Phys. , vol.94 , pp. 61-66
    • Beals, J.T.1    Kato, T.2    Majda, A.3
  • 4
    • 21144469486 scopus 로고
    • Global regularity for vortex patches
    • A. L. BERTOZZI & P. CONSTANTIN, Global regularity for vortex patches, Comm. Math. Phys. 152 (1993), 19-28.
    • (1993) Comm. Math. Phys. , vol.152 , pp. 19-28
    • Bertozzi, A.L.1    Constantin, P.2
  • 5
    • 0040528825 scopus 로고
    • Régularité de la trajectoire des particules d'un fluide parfait incompressible remplissant l'espace
    • J. Y. CHEMIN, Régularité de la trajectoire des particules d'un fluide parfait incompressible remplissant l'espace, J. Math. Pures Appl. 71 (1992), 407-417.
    • (1992) J. Math. Pures Appl. , vol.71 , pp. 407-417
    • Chemin, J.Y.1
  • 6
    • 0037909765 scopus 로고
    • Persistence de structures géométriques dans les fluides incompressibles bidimensionnels
    • _, Persistence de structures géométriques dans les fluides incompressibles bidimensionnels, Ann. Sci. École. Norm. Sup. 26 (1993), 517-542.
    • (1993) Ann. Sci. École. Norm. Sup. , vol.26 , pp. 517-542
  • 7
    • 58149362915 scopus 로고
    • Flot de champs de vecteurs non lipschitziens et équations de Navier-Stokes
    • J. Y. CHEMIN & N. LERNER, Flot de champs de vecteurs non lipschitziens et équations de Navier-Stokes, J. Diff. Equations 121 (1995), 314-328.
    • (1995) J. Diff. Equations , vol.121 , pp. 314-328
    • Chemin, J.Y.1    Lerner, N.2
  • 8
    • 0028388187 scopus 로고
    • Geometric statistics in turbulence
    • P. CONSTANTIN, Geometric statistics in turbulence, SIAM Rev. 36 (1994), 73-98.
    • (1994) SIAM Rev. , vol.36 , pp. 73-98
    • Constantin, P.1
  • 9
    • 0002385095 scopus 로고
    • Averaged motion of charged particles under their self-induced electric field
    • A. FRIEDMAN & C. HUANG, Averaged motion of charged particles under their self-induced electric field, Indiana Univ. Math. J. 43 (1994), 1167-1225.
    • (1994) Indiana Univ. Math. J. , vol.43 , pp. 1167-1225
    • Friedman, A.1    Huang, C.2
  • 10
    • 21144476446 scopus 로고
    • A time-dependent free boundary problem modeling the visual image in electrophotography
    • A. FRIEDMAN & J. L. VELAZQUEZ, A time-dependent free boundary problem modeling the visual image in electrophotography, Archive Rat. Mech. Anal. 123 (1993), 259-303.
    • (1993) Archive Rat. Mech. Anal. , vol.123 , pp. 259-303
    • Friedman, A.1    Velazquez, J.L.2
  • 11
    • 0002390525 scopus 로고
    • On three-dimensional vortex patches
    • P. GAMBLIN & X.S. RAYMOND, On three-dimensional vortex patches, Bull. Soc. Math. Fr. 123 (1995), 375-424.
    • (1995) Bull. Soc. Math. Fr. , vol.123 , pp. 375-424
    • Gamblin, P.1    Raymond, X.S.2
  • 13
    • 0041188019 scopus 로고    scopus 로고
    • On boundary regularity of non-constant vortex patches
    • C. HUANG, On boundary regularity of non-constant vortex patches, Comm. Appl. Math. 3 (1999), 449-459.
    • (1999) Comm. Appl. Math. , vol.3 , pp. 449-459
    • Huang, C.1
  • 14
    • 0032367121 scopus 로고    scopus 로고
    • Evolution of mixed-state regions in type-II superconductors
    • C. HUANG & T. SVOBODNY, Evolution of mixed-state regions in type-II superconductors, SIAM J. Math. Anal. 29 (1998), 1002-1021.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1002-1021
    • Huang, C.1    Svobodny, T.2
  • 15
    • 84990619174 scopus 로고
    • Vorticity and the mathematical theory of incompressible fluid flow
    • A. MAJDA, Vorticity and the mathematical theory of incompressible fluid flow, Comm. Pure Appl. Math. 39 (1986), S187-220.
    • (1986) Comm. Pure Appl. Math. , vol.39
    • Majda, A.1
  • 16
    • 0001722244 scopus 로고
    • Remarks on axisymmetric solutions of the incompressible Euler system
    • X.S. RAYMOND, Remarks on axisymmetric solutions of the incompressible Euler system, Comm. P.D.E. 19 (1994), 321-334.
    • (1994) Comm. P.D.E. , vol.19 , pp. 321-334
    • Raymond, X.S.1
  • 18
    • 0040593860 scopus 로고
    • Régularité stratifiée et équation d'Euler 3D à temps grand
    • P. SERFATI, Régularité stratifiée et équation d'Euler 3D à temps grand, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), 925-928.
    • (1994) C. R. Acad. Sci. Paris Sér. I Math. , vol.318 , pp. 925-928
    • Serfati, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.