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Volumn 22, Issue 5, 2012, Pages 1444-1459

Dynamics of symplectic fluids and point vortices

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EID: 84868200417     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-012-0182-7     Document Type: Article
Times cited : (7)

References (15)
  • 1
    • 0001356905 scopus 로고
    • Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits
    • Arnold V. I.: Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits. Annales de L'Institut Fourier. 16, 316-361 (1966).
    • (1966) Annales De L'institut Fourier , vol.16 , pp. 316-361
    • Arnold, V.I.1
  • 4
    • 84858859764 scopus 로고    scopus 로고
    • Geodesics on the symplectomorphism group
    • Ebin D. G.: Geodesics on the symplectomorphism group. Geometric and Functional Analysis. 1(22), 202-212 (2012).
    • (2012) Geometric and Functional Analysis , vol.1 , Issue.22 , pp. 202-212
    • Ebin, D.G.1
  • 5
    • 0001052255 scopus 로고
    • Groups of diffeomorphisms and the motion of an incompressible fluid
    • Ebin D. G., Marsden J.: Groups of diffeomorphisms and the motion of an incompressible fluid. Annals of Mathematics. 2(92), 102-163 (1970).
    • (1970) Annals of Mathematics. , vol.2 , Issue.92 , pp. 102-163
    • Ebin, D.G.1    Marsden, J.2
  • 8
    • 84864082978 scopus 로고    scopus 로고
    • Symplectic structures and dynamics on vortex membranes
    • Khesin B.: Symplectic structures and dynamics on vortex membranes. Moscow Mathematical Journal. 2(12), 413-434 (2012).
    • (2012) Moscow Mathematical Journal. , vol.2 , Issue.12 , pp. 413-434
    • Khesin, B.1
  • 12
    • 84868208663 scopus 로고
    • Invariants et dégénérescence symplectique de l'équation d'Euler des fluides parfaits incompressibles. Comptes Rendus de l'Académie des Sciences, Paris
    • Serre D.: Invariants et dégénérescence symplectique de l'équation d'Euler des fluides parfaits incompressibles. Comptes Rendus de l'Académie des Sciences, Paris. Série I. Mathématique. 14(298), 349-352 (1984).
    • (1984) Série I. Mathématique. , vol.14 , Issue.298 , pp. 349-352
    • Serre, D.1
  • 13
    • 34250098872 scopus 로고
    • A bi-invariant metric on a group of symplectic diffeomorphisms and the equation (∂/∂t)ΔF = {ΔF, F}
    • N. K. Smolentsev. A bi-invariant metric on a group of symplectic diffeomorphisms and the equation (∂/∂t)ΔF = {ΔF, F} Siberian Mathematical Journal, (1)27 (1986), 120-126.
    • (1986) Siberian Mathematical Journal , vol.27 , Issue.1 , pp. 120-126
    • Smolentsev, N.K.1
  • 14
    • 0007388399 scopus 로고
    • Connections of Berry and Hannay type for moving lagrangian submanifolds
    • Weinstein A.: Connections of Berry and Hannay type for moving lagrangian submanifolds. Advances in Mathematics. 82, 133-159 (1990).
    • (1990) Advances in Mathematics. , vol.82 , pp. 133-159
    • Weinstein, A.1
  • 15
    • 0010960806 scopus 로고
    • Nonintegrability of the problem of the motion of four point vortices
    • Ziglin S. L.: Nonintegrability of the problem of the motion of four point vortices. Doklady Akademii Nauk SSSR. 6(250), 1296-1300 (1980).
    • (1980) Doklady Akademii Nauk SSSR. , vol.6 , Issue.250 , pp. 1296-1300
    • Ziglin, S.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.