메뉴 건너뛰기




Volumn 41, Issue 12, 2000, Pages 8148-8162

Geometric phases for corotating elliptical vortex patches

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034356757     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1320855     Document Type: Article
Times cited : (4)

References (32)
  • 2
    • 0001055905 scopus 로고
    • Vortex waves: Stationary 'V states,' interactions, recurrence, and breaking
    • G. S. Deem and N. J. Zabusky, "Vortex waves: stationary 'V states,' interactions, recurrence, and breaking," Phys. Rev. Lett 40, 859-862 (1978).
    • (1978) Phys. Rev. Lett , vol.40 , pp. 859-862
    • Deem, G.S.1    Zabusky, N.J.2
  • 3
    • 84972168207 scopus 로고
    • Coaxial scattering of Euler-equation translating V states via contour dynamics
    • E. A. Overman and N. J. Zabusky, "Coaxial scattering of Euler-equation translating V states via contour dynamics." J. Fluid Mech. 125, 187-202 (1982).
    • (1982) J. Fluid Mech. , vol.125 , pp. 187-202
    • Overman, E.A.1    Zabusky, N.J.2
  • 4
    • 0001079417 scopus 로고
    • Evolution and merger of isolated vortex structures
    • E. A. Overman II and N. J. Zabusky, "Evolution and merger of isolated vortex structures," Phys. Fluids 25. 1297-1305 (1982).
    • (1982) Phys. Fluids , vol.25 , pp. 1297-1305
    • Overman E.A. II1    Zabusky, N.J.2
  • 5
    • 0019623641 scopus 로고
    • Motion of an elliptical vortex in a uniform shear flow
    • S Kida, "Motion of an elliptical vortex in a uniform shear flow," J. Phys. Soc. Jpn. 50, 3517-3520 (1981).
    • (1981) J. Phys. Soc. Jpn. , vol.50 , pp. 3517-3520
    • Kida, S.1
  • 6
    • 33846820022 scopus 로고
    • Nonlinear stability of circular vortex patches
    • Y. H. Wan and M. Pulvirente, "Nonlinear stability of circular vortex patches," Commun. Math. Phys. 99, 435-450 (1984).
    • (1984) Commun. Math. Phys. , vol.99 , pp. 435-450
    • Wan, Y.H.1    Pulvirente, M.2
  • 7
    • 0003136194 scopus 로고
    • The stability of rotating vortex patches
    • Y H. Wan, "The stability of rotating vortex patches," Commun. Math. Phys. 107, 1-20 (1986).
    • (1986) Commun. Math. Phys. , vol.107 , pp. 1-20
    • Wan, Y.H.1
  • 8
    • 33846846177 scopus 로고
    • On the evolution of nearly circular vortex patches
    • P. Constantin and E. Titi, "On the evolution of nearly circular vortex patches," Commun. Math. Phys. 119, 177-198 (1988).
    • (1988) Commun. Math. Phys. , vol.119 , pp. 177-198
    • Constantin, P.1    Titi, E.2
  • 9
    • 85041150744 scopus 로고
    • Cambridge Monographs on Mechanics and Applied Mathematics Cambridge University Press, Cambridge
    • P. G. Saffman, Vortex Dynamics, Cambridge Monographs on Mechanics and Applied Mathematics (Cambridge University Press, Cambridge 1992).
    • (1992) Vortex Dynamics
    • Saffman, P.G.1
  • 10
    • 0000067611 scopus 로고
    • Noncanonical Hamiltonian density formulation of hydrodynamics and ideal magnetohydrodynamics
    • P. J. Morrison and J. M. Greene, "Noncanonical Hamiltonian density formulation of hydrodynamics and ideal magnetohydrodynamics," Phys. Rev. Lett. 45, 790-794 (1980); 48, 569 (1982).
    • (1980) Phys. Rev. Lett. , vol.45 , pp. 790-794
    • Morrison, P.J.1    Greene, J.M.2
  • 11
    • 4243218024 scopus 로고
    • P. J. Morrison and J. M. Greene, "Noncanonical Hamiltonian density formulation of hydrodynamics and ideal magnetohydrodynamics," Phys. Rev. Lett. 45, 790-794 (1980); 48, 569 (1982).
    • (1982) Phys. Rev. Lett. , vol.48 , pp. 569
  • 12
    • 0020176061 scopus 로고
    • A nonlinear Hamiltonian structure for the Euler equations
    • P. J. Olver, "A nonlinear Hamiltonian structure for the Euler equations," J. Math. Anal. Appl. 89, 233-250 (1982).
    • (1982) J. Math. Anal. Appl. , vol.89 , pp. 233-250
    • Olver, P.J.1
  • 13
    • 48749149748 scopus 로고
    • Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids
    • J. Marsden and A. Weinstein, "Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids," Pnysica D 7, 305-323 (1983).
    • (1983) Pnysica D , vol.7 , pp. 305-323
    • Marsden, J.1    Weinstein, A.2
  • 14
    • 0000024344 scopus 로고
    • Symmetries, conservation laws and Hamiltonian structure in geophysical fluid dynamics
    • T. G. Shepherd, "Symmetries, conservation laws and Hamiltonian structure in geophysical fluid dynamics." Adv. Geophys. 32, 287-388 (1990).
    • (1990) Adv. Geophys. , vol.32 , pp. 287-388
    • Shepherd, T.G.1
  • 15
    • 0002370038 scopus 로고
    • Elliptically desingularized model for the two-dimensional Euler equations
    • M. V. Melander, A. S. Styczek, and N. J. Zabusky, "Elliptically desingularized model for the two-dimensional Euler equations," Phys. Rev. Lett. 53, 1222-1225 (1984).
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 1222-1225
    • Melander, M.V.1    Styczek, A.S.2    Zabusky, N.J.3
  • 16
    • 0022739234 scopus 로고
    • Moment model for vortex interactions. Part I
    • M. V. Melander, N. J. Zabusky, and A. S. Styczek, "Moment model for vortex interactions. Part I," J. Fluid Mech. 167, 95-115 (1986).
    • (1986) J. Fluid Mech. , vol.167 , pp. 95-115
    • Melander, M.V.1    Zabusky, N.J.2    Styczek, A.S.3
  • 17
    • 0002207807 scopus 로고
    • Quantal phase factors accompanying adiabatic changes
    • M. V. Berry, "Quantal phase factors accompanying adiabatic changes," Proc. R. Soc. London, Ser. A 392, 45-57 (1984).
    • (1984) Proc. R. Soc. London, Ser. A , vol.392 , pp. 45-57
    • Berry, M.V.1
  • 18
    • 0000977878 scopus 로고
    • Angle variable holonomy in adiabatic excursion of an integrable Hamiltonian
    • J. Hannay, "Angle variable holonomy in adiabatic excursion of an integrable Hamiltonian," J. Phys. A 18, 221-230 (1985).
    • (1985) J. Phys. A , vol.18 , pp. 221-230
    • Hannay, J.1
  • 19
    • 0001345770 scopus 로고
    • Holonomy, the quantum adiabatic theorem, and Berry's phase
    • B. Simon, "Holonomy, the quantum adiabatic theorem, and Berry's phase," Phys. Rev. Lett. 51, 2167-2170 (1983).
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 2167-2170
    • Simon, B.1
  • 21
    • 0002368839 scopus 로고
    • The connection whose holonomy is the classical adiabatic angles of Hannay and Berry and its generalization to the nonintegrable case
    • R. Montgomery, "The connection whose holonomy is the classical adiabatic angles of Hannay and Berry and its generalization to the nonintegrable case," Commun. Math. Phys. 120, 269-294 (1988).
    • (1988) Commun. Math. Phys. , vol.120 , pp. 269-294
    • Montgomery, R.1
  • 23
    • 0002297767 scopus 로고    scopus 로고
    • Vortex motion and the geometric phase. Part I: Basic configurations and asymptotics
    • B. N. Shashikanth and P. K. Newton, "Vortex motion and the geometric phase. Part I: Basic configurations and asymptotics," J. Nonlinear Sci. 8, 183-214 (1998).
    • (1998) J. Nonlinear Sci. , vol.8 , pp. 183-214
    • Shashikanth, B.N.1    Newton, P.K.2
  • 24
    • 0002127367 scopus 로고    scopus 로고
    • Vortex motion and the geometric phase. Part II: Slowly varying spiral structures
    • B. N. Shashikanth and P. K. Newton, "Vortex motion and the geometric phase. Part II: Slowly varying spiral structures," J. Nonlinear Sci. 9, 233-254 (1999).
    • (1999) J. Nonlinear Sci. , vol.9 , pp. 233-254
    • Shashikanth, B.N.1    Newton, P.K.2
  • 25
    • 0003923142 scopus 로고    scopus 로고
    • Applied Mathematical Sciences Springer-Verlag, Berlin, to be published
    • P. K. Newton, The N-Vortex Problem: Analytical Techniques, Applied Mathematical Sciences (Springer-Verlag, Berlin, 2001) (to be published).
    • (2001) The N-Vortex Problem: Analytical Techniques
    • Newton, P.K.1
  • 26
    • 0002368841 scopus 로고
    • Hannay-Berry phase and the restricted three-vortex problem
    • P. K. Newton, "Hannay-Berry phase and the restricted three-vortex problem," Physica D 79, 416-423 (1994).
    • (1994) Physica D , vol.79 , pp. 416-423
    • Newton, P.K.1
  • 29
    • 0001276342 scopus 로고
    • The three point vortex problem: Commutative and noncommutative mtegrability
    • M Adams and T. S. Ratiu, "The three point vortex problem: Commutative and noncommutative mtegrability," Contemp. Math. 81, 245-257 (1988).
    • (1988) Contemp. Math. , vol.81 , pp. 245-257
    • Adams, M.1    Ratiu, T.S.2
  • 30
    • 0032138297 scopus 로고    scopus 로고
    • Symplectic reduction for semidirect products and central extensions
    • J. E. Marsden, G. Misiolek, M. Perlmutter, and T. S. Ratiu, "Symplectic reduction for semidirect products and central extensions," Diff. Geom. Applc. 9, 173-212 (1998).
    • (1998) Diff. Geom. Applc. , vol.9 , pp. 173-212
    • Marsden, J.E.1    Misiolek, G.2    Perlmutter, M.3    Ratiu, T.S.4
  • 31
    • 0034179249 scopus 로고    scopus 로고
    • Reconstruction phases via Poisson reduction
    • A. Blaom, "Reconstruction phases via Poisson reduction," Diff. Geom. Applic. 12, 231-252 (2000)
    • (2000) Diff. Geom. Applic. , vol.12 , pp. 231-252
    • Blaom, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.