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Volumn 237, Issue 14-17, 2008, Pages 1951-1955

Complex-space singularities of 2D Euler flow in Lagrangian coordinates

Author keywords

Analyticity strip method; Complex singularities; Euler equation; Lagrangian frame

Indexed keywords

EULER EQUATIONS; INCOMPRESSIBLE FLOW;

EID: 47049127800     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2007.11.007     Document Type: Article
Times cited : (17)

References (15)
  • 1
    • 0010814938 scopus 로고
    • Analyticité des solutions de l'équation d'Euler en trois dimensions
    • Benachour S. Analyticité des solutions de l'équation d'Euler en trois dimensions. C. R. Acad. Sci. Paris 283 A (1976) 107-110
    • (1976) C. R. Acad. Sci. Paris 283 A , pp. 107-110
    • Benachour, S.1
  • 2
    • 3543088612 scopus 로고
    • Analyticité des solutions des équations d'Euler
    • Benachour S. Analyticité des solutions des équations d'Euler. Arch. Ration. Mech. Anal. 71 (1976) 271-299
    • (1976) Arch. Ration. Mech. Anal. , vol.71 , pp. 271-299
    • Benachour, S.1
  • 3
    • 0000333210 scopus 로고
    • Uber die unbeschränkte Fortsetzbarkeit einer stetigen ebenen Bewegung in einer unbegrenzten inkompressiblen Flüssigkeit
    • Hölder E. Uber die unbeschränkte Fortsetzbarkeit einer stetigen ebenen Bewegung in einer unbegrenzten inkompressiblen Flüssigkeit. Math. Z. 37 (1933) 727-738
    • (1933) Math. Z. , vol.37 , pp. 727-738
    • Hölder, E.1
  • 4
    • 34250940791 scopus 로고
    • Un theorème sur l'existence du mouvement plan d'un fluide parfait, homogène, incompressible, pendant un temps infiniment long
    • Wolibner W. Un theorème sur l'existence du mouvement plan d'un fluide parfait, homogène, incompressible, pendant un temps infiniment long. Math. Z. 37 (1933) 698-726
    • (1933) Math. Z. , vol.37 , pp. 698-726
    • Wolibner, W.1
  • 5
    • 0001140293 scopus 로고
    • Tracing complex singularities with spectral methods
    • Sulem C., Sulem P.-L., and Frisch H. Tracing complex singularities with spectral methods. J. Comput. Phys. 50 (1983) 138-161
    • (1983) J. Comput. Phys. , vol.50 , pp. 138-161
    • Sulem, C.1    Sulem, P.-L.2    Frisch, H.3
  • 6
    • 21844481531 scopus 로고
    • Equations de transport relatives à des champs de vecteurs non-lipschitziens et mécanique des fluides
    • Bahouri H., and Chemin J.-Y. Equations de transport relatives à des champs de vecteurs non-lipschitziens et mécanique des fluides. Arch. Ration. Mech. Anal. 127 (1994) 159-181
    • (1994) Arch. Ration. Mech. Anal. , vol.127 , pp. 159-181
    • Bahouri, H.1    Chemin, J.-Y.2
  • 7
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3-D Euler equations
    • Beale J.T., Kato T., and Majda A.J. Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Commun. Math. Phys. 94 (1985) 61-66
    • (1985) Commun. Math. Phys. , vol.94 , pp. 61-66
    • Beale, J.T.1    Kato, T.2    Majda, A.J.3
  • 9
    • 3543151404 scopus 로고    scopus 로고
    • Singularities of Euler flow? Not out of the blue!
    • Frisch U., Matsumoto T., and Bec J. Singularities of Euler flow? Not out of the blue!. J. Stat. Phys. 113 (2003) 761-781
    • (2003) J. Stat. Phys. , vol.113 , pp. 761-781
    • Frisch, U.1    Matsumoto, T.2    Bec, J.3
  • 10
    • 18844400628 scopus 로고    scopus 로고
    • The analytic structure of 2D Euler flow at short times
    • Matsumoto T., Bec J., and Frisch U. The analytic structure of 2D Euler flow at short times. Fluid Dyn. Res. 36 (2005) 221-237
    • (2005) Fluid Dyn. Res. , vol.36 , pp. 221-237
    • Matsumoto, T.1    Bec, J.2    Frisch, U.3
  • 11
    • 33745753714 scopus 로고    scopus 로고
    • Nature of complex singularities for the 2D Euler equation
    • Pauls W., Matsumoto T., Frisch U., and Bec J. Nature of complex singularities for the 2D Euler equation. Physica D 219 (2006) 40-59
    • (2006) Physica D , vol.219 , pp. 40-59
    • Pauls, W.1    Matsumoto, T.2    Frisch, U.3    Bec, J.4
  • 12
    • 0001410755 scopus 로고
    • Mechanism of the production of small eddies from large ones
    • Taylor G.I., and Green A.E. Mechanism of the production of small eddies from large ones. Proc. Roy. Soc. A 158 (1937) 499-521
    • (1937) Proc. Roy. Soc. A , vol.158 , pp. 499-521
    • Taylor, G.I.1    Green, A.E.2
  • 14
    • 14844359185 scopus 로고    scopus 로고
    • Lagrangian singularities of steady two-dimensional flows
    • Pauls W., and Matsumoto T. Lagrangian singularities of steady two-dimensional flows. Geophys. Astrophys. Fluid Dyn. 99 (2005) 61-75
    • (2005) Geophys. Astrophys. Fluid Dyn. , vol.99 , pp. 61-75
    • Pauls, W.1    Matsumoto, T.2
  • 15
    • 34250782224 scopus 로고    scopus 로고
    • Burgers turbulence
    • Bec J., and Khanin K. Burgers turbulence. Phys. Rep. 447 (2007) 1-66
    • (2007) Phys. Rep. , vol.447 , pp. 1-66
    • Bec, J.1    Khanin, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.