메뉴 건너뛰기




Volumn 98, Issue 6, 2004, Pages 473-506

Steady multipolar planar vortices with nonlinear critical layers

Author keywords

Asymptotic expansions; Multipolar planar vortices; Non linear critical layers

Indexed keywords

COMPRESSIBLE FLOW; FLUID DYNAMICS; PERTURBATION TECHNIQUES; VELOCITY; VISCOSITY OF LIQUIDS;

EID: 10244239319     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/03091920412331294845     Document Type: Article
Times cited : (15)

References (39)
  • 3
    • 84974023501 scopus 로고
    • On steady laminar flow with closed streamlines at large Reynolds number
    • Batchelor, G. "On steady laminar flow with closed streamlines at large Reynolds number", J. Fluid Mech. 1, 177-190 (1956).
    • (1956) J. Fluid Mech. , vol.1 , pp. 177-190
    • Batchelor, G.1
  • 4
    • 0014566419 scopus 로고
    • A new class of nonlinear waves in parallel flows
    • Benney, D.J. and Bergeron, R.F., "A new class of nonlinear waves in parallel flows", Stud. in Appl. Maths. 48, 181-204 (1969).
    • (1969) Stud. in Appl. Maths. , vol.48 , pp. 181-204
    • Benney, D.J.1    Bergeron, R.F.2
  • 5
    • 0028155736 scopus 로고
    • Rapid relaxation of an axisymmetric vortex
    • Bernoff, A.J. and Lingevitch, J.F., "Rapid relaxation of an axisymmetric vortex", Phys. Fluids 6, 3717 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 3717
    • Bernoff, A.J.1    Lingevitch, J.F.2
  • 6
    • 0014734772 scopus 로고
    • Role of Landau damping in crossed-field electron beams and inviscid shear flow
    • Briggs, R.J., Daugherty, J.D. and Levy, R.H., "Role of Landau damping in crossed-field electron beams and inviscid shear flow", Phys. Fluids 13, 421-432 (1970).
    • (1970) Phys. Fluids , vol.13 , pp. 421-432
    • Briggs, R.J.1    Daugherty, J.D.2    Levy, R.H.3
  • 7
    • 84963253970 scopus 로고
    • The evolution of the critical layer of a rossby wave
    • Brown, S.N. and Stewartson, K., "The evolution of the critical layer of a rossby wave. part ii", Geophys. Astrophys. Fluid Dynam. 10 1-24 (1978).
    • (1978) Geophys. Astrophys. Fluid Dynam. , vol.10 , Issue.PART 2 , pp. 1-24
    • Brown, S.N.1    Stewartson, K.2
  • 8
    • 10244256997 scopus 로고    scopus 로고
    • Quelques effets des nonlinéarités sur l'existence des structures cohérentes rencontrées en Géophysique
    • Ph.D. thesis. Université Pierre et Marie Curie, Paris
    • Caillol, P., "Quelques effets des nonlinéarités sur l'existence des structures cohérentes rencontrées en Géophysique", Ph.D. thesis. Université Pierre et Marie Curie, Paris (2000).
    • (2000)
    • Caillol, P.1
  • 9
    • 10244231505 scopus 로고    scopus 로고
    • Steady multi-polar planar vortices with nonlinear critical layers
    • Preprint 03-24, Department of Mathematics, Loughborough University
    • Caillol, P. and Grimshaw, R. "Steady multi-polar planar vortices with nonlinear critical layers", Preprint 03-24, Department of Mathematics, Loughborough University (2003).
    • (2003)
    • Caillol, P.1    Grimshaw, R.2
  • 10
    • 0028431166 scopus 로고
    • The life-cycle of tripoles in two-dimensional incompressible flows
    • Carton, X. and Legras, B., "The life-cycle of tripoles in two-dimensional incompressible flows", J. Fluid Mech. 267, 53-82 (1994).
    • (1994) J. Fluid Mech. , vol.267 , pp. 53-82
    • Carton, X.1    Legras, B.2
  • 11
    • 84956136239 scopus 로고
    • The generation of tripoles from unstable axisymmetric isolated vortex structures
    • Carton, X., Flierl, G. and Polvani, L., "The generation of tripoles from unstable axisymmetric isolated vortex structures", Europhys. Lett., 9, 339-407 (1989).
    • (1989) Europhys. Lett. , vol.9 , pp. 339-407
    • Carton, X.1    Flierl, G.2    Polvani, L.3
  • 13
    • 0030131218 scopus 로고    scopus 로고
    • Classification of self-organized vortices in two-dimensional turbulence: The case of a bounded domain
    • Chavanis, P. and Sommeria, J., "Classification of self-organized vortices in two-dimensional turbulence: the case of a bounded domain", J. Fluid Mech., 314, 267-297 (1996).
    • (1996) J. Fluid Mech. , vol.314 , pp. 267-297
    • Chavanis, P.1    Sommeria, J.2
  • 14
    • 0000348104 scopus 로고    scopus 로고
    • A class of exact multipolar vortices
    • Crowdy, D., "A class of exact multipolar vortices", Phys. Fluids. 11, 2556-2564 (1999).
    • (1999) Phys. Fluids. , vol.11 , pp. 2556-2564
    • Crowdy, D.1
  • 16
    • 0014491819 scopus 로고
    • On the high Reynolds number flow over a wavy boundary
    • Davis, R.E., "On the high Reynolds number flow over a wavy boundary", J. Fluid Mech. 36, 337-346 (1969).
    • (1969) J. Fluid Mech. , vol.36 , pp. 337-346
    • Davis, R.E.1
  • 17
    • 0035443529 scopus 로고    scopus 로고
    • Intermittency and coherent structures in the two-dimensional inverse energy cascade: Comparing numerical and laboratory experiments
    • Dubos, T., Babiano, A., Paret, J. and Tabeling, P. "Intermittency and coherent structures in the two-dimensional inverse energy cascade: comparing numerical and laboratory experiments", Phys. Rev. E 64, 036302 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 036302
    • Dubos, T.1    Babiano, A.2    Paret, J.3    Tabeling, P.4
  • 20
    • 0015354987 scopus 로고
    • Critical layers in parallel flows
    • Haberman R., "Critical layers in parallel flows", Stud. Appl. Maths. 51, 139-161 (1972).
    • (1972) Stud. Appl. Maths. , vol.51 , pp. 139-161
    • Haberman, R.1
  • 21
    • 0024752469 scopus 로고
    • The effect of barotropic instability on the nonlinear evolution of a Rossby-wave critical level
    • Haynes, P., "The effect of barotropic instability on the nonlinear evolution of a Rossby-wave critical level", J. Fluid Mech. 207 231-266 (1989).
    • (1989) J. Fluid Mech. , vol.207 , pp. 231-266
    • Haynes, P.1
  • 22
    • 84976161881 scopus 로고
    • Do Rossby-wave critical layers absorb, reflect, or over-reflect?
    • Killworth, P and McIntyre, M, "Do Rossby-wave critical layers absorb, reflect, or over-reflect?", J. Fluid Mech. 161, 449-492 (1985).
    • (1985) J. Fluid Mech. , vol.161 , pp. 449-492
    • Killworth, P.1    McIntyre, M.2
  • 23
    • 0026107155 scopus 로고
    • An experimental study of unstable barotropic vortices in a rotating fluid
    • Kloosterziel, R. and van Heijest, G., "An experimental study of unstable barotropic vortices in a rotating fluid", J. Fluid Mech. 239, 1-24 (1991).
    • (1991) J. Fluid Mech. , vol.239 , pp. 1-24
    • Kloosterziel, R.1    van Heijest, G.2
  • 24
    • 0032665355 scopus 로고    scopus 로고
    • On the evolution and saturation of instabilities of two-dimensional isolated circular vortices
    • Kloosterziel, R. and Carnevale, G., "On the evolution and saturation of instabilities of two-dimensional isolated circular vortices", J. Fluid Mech. 388, 217-257 (1999).
    • (1999) J. Fluid Mech. , vol.388 , pp. 217-257
    • Kloosterziel, R.1    Carnevale, G.2
  • 25
    • 0004168443 scopus 로고
    • Dover Publications, New York
    • Lamp, H., Hydrodynamics. Dover Publications, New York (1945).
    • (1945) Hydrodynamics
    • Lamp, H.1
  • 26
    • 0000909474 scopus 로고
    • On collisions between two-demensional solitary Rossby waves
    • Larichev, V and Reznik, G., "On collisions between two-demensional solitary Rossby waves", Oceanology 23, 545-552 (1983).
    • (1983) Oceanology , vol.23 , pp. 545-552
    • Larichev, V.1    Reznik, G.2
  • 27
    • 0033941404 scopus 로고    scopus 로고
    • Non-axisymmetric vortices in two-dimensional flows
    • Le Dizès, S., "Non-axisymmetric vortices in two-dimensional flows", J. Fluid Mech. 406, 175-198 (2000).
    • (2000) J. Fluid Mech. , vol.406 , pp. 175-198
    • Le Dizès, S.1
  • 28
    • 84956083095 scopus 로고
    • High-resolutional numerical experiments for forced two-dimentional turbulence
    • Legras, B., Santangelo, P. and Benzi, R., "High-resolutional numerical experiments for forced two-dimentional turbulence", Europhys. Lett. 5, 37-42 (1988).
    • (1988) Europhys. Lett. , vol.5 , pp. 37-42
    • Legras, B.1    Santangelo, P.2    Benzi, R.3
  • 29
    • 0021445542 scopus 로고
    • Minimum enstrophy vortices
    • Leith, C., "Minimum enstrophy vortices", Phys. Fluids 27, 1388-1395 (1984).
    • (1984) Phys. Fluids , vol.27 , pp. 1388-1395
    • Leith, C.1
  • 30
    • 0022490606 scopus 로고
    • Critical layers in shear flows
    • Maslowe, S., "Critical layers in shear flows", Annual Rev. Fluid Mech. 18, 405-432 (1986).
    • (1986) Annual Rev. Fluid Mech. , vol.18 , pp. 405-432
    • Maslowe, S.1
  • 31
    • 0028431164 scopus 로고
    • Multipolar vortices in two-dimentional incompressible flows
    • Morel, Y. G. and Carton, X., "Multipolar vortices in two-dimentional incompressible flows", J. Fluid Mech. 267, 23-51 (1994).
    • (1994) J. Fluid Mech. , vol.267 , pp. 23-51
    • Morel, Y.G.1    Carton, X.2
  • 32
    • 0026819461 scopus 로고
    • Numerical simulation of tripolar vortices in 2D flow
    • Orlandi, P. and van Heijest, G., "Numerical simulation of tripolar vortices in 2D flow", J. Fluid Dyn. Res. 9, 179-206 (1992).
    • (1992) J. Fluid Dyn. Res. , vol.9 , pp. 179-206
    • Orlandi, P.1    van Heijest, G.2
  • 33
    • 0027040271 scopus 로고
    • Three anticyclonic slope water oceanic eddies (swoddies) in the Southern Bay of Biscay in 1990
    • Pingree, R. and Le Cann, B., "Three anticyclonic slope water oceanic eddies (swoddies) in the Southern Bay of Biscay in 1990", Deep Dyn. Res. 39, 1147-1175 (1992).
    • (1992) Deep Dyn. Res. , vol.39 , pp. 1147-1175
    • Pingree, R.1    Le Cann, B.2
  • 34
    • 84963254986 scopus 로고
    • The tripole: A new cohenerent vortex structure of incompreesible two-dimensional flows
    • Polvani, L. and Carton, X., "The tripole: a new cohenerent vortex structure of incompreesible two-dimensional flows", Geophys. Astrophys. Fluid Dynam. 51, 87-102 (1990).
    • (1990) Geophys. Astrophys. Fluid Dynam. , vol.51 , pp. 87-102
    • Polvani, L.1    Carton, X.2
  • 35
    • 0031202330 scopus 로고    scopus 로고
    • Quasi-steady monople and tripole attractors for relaxing vortices
    • Rossi, L., Lingeveitch, J. and Bernoff, A., "Quasi-steady monople and tripole attractors for relaxing vortices", Phys. Fluids 9, 2329-2338 (1997).
    • (1997) Phys. Fluids , vol.9 , pp. 2329-2338
    • Rossi, L.1    Lingeveitch, J.2    Bernoff, A.3
  • 36
    • 84951398657 scopus 로고
    • On steady vortex flows in two-dimensions
    • i and ii
    • Turkington, B., "On steady vortex flows in two-dimensions", i & ii, Comm. Part. Diff. Eq. 8, 999-1071 (1983).
    • (1983) Comm. Part. Diff. Eq. , vol.8 , pp. 999-1071
    • Turkington, B.1
  • 37
    • 10244255750 scopus 로고
    • Variational formulations for coherent vortex structures
    • Ph.D. thesis
    • van de Fliert, B.W., "Variational formulations for coherent vortex structures", Ph.D. thesis (1993).
    • (1993)
    • van de Fliert, B.W.1
  • 38
    • 0034206221 scopus 로고    scopus 로고
    • Nonlinear magnetic electron tripolar vortices in streaming plasmas
    • Varješ, J., Marić, G. and Shukla, P.K., "Nonlinear magnetic electron tripolar vortices in streaming plasmas", Phys. Rev. E. 61, 7009-7013 (2000).
    • (2000) Phys. Rev. E. , vol.61 , pp. 7009-7013
    • Varješ, J.1    Marić, G.2    Shukla, P.K.3
  • 39
    • 0017998545 scopus 로고
    • The evolution of a nonlinear critical level
    • Warn, T. and Warn, H., "The evolution of a nonlinear critical level", Stud. in Appl. Maths. 59, 37-71 (1978).
    • (1978) Stud. in Appl. Maths. , vol.59 , pp. 37-71
    • Warn, T.1    Warn, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.