메뉴 건너뛰기




Volumn 717, Issue , 2013, Pages 417-448

Convectons in a rotating fluid layer

Author keywords

nonlinear dynamical systems; pattern formation; rotating flows

Indexed keywords

DYNAMICAL SYSTEMS; NONLINEAR DYNAMICAL SYSTEMS; ROTATIONAL FLOW;

EID: 84873355278     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2012.585     Document Type: Article
Times cited : (28)

References (46)
  • 1
    • 43049149575 scopus 로고    scopus 로고
    • Spatially localized states in Marangoni convection in binary mixtures
    • ASSEMAT, P., BERGEON, A. & KNOBLOCH, E. 2008 Spatially localized states in Marangoni convection in binary mixtures. Fluid Dyn. Res. 40, 852-876.
    • (2008) Fluid Dyn. Res , vol.40 , pp. 852-876
    • Assemat, P.1    Bergeon, A.2    Knobloch, E.3
  • 2
    • 41349087094 scopus 로고    scopus 로고
    • Rayleigh-B́enard convection with rotation at small Prandtl numbers
    • BAJAJ, K. M. S., AHLERS, G. & PESCH, W. 2002 Rayleigh-B́enard convection with rotation at small Prandtl numbers. Phys. Rev. E 65, 056309.
    • (2002) Phys. Rev e , vol.65 , pp. 056309
    • Bajaj, K.M.S.1    Ahlers, G.2    Pesch, W.3
  • 4
    • 80053410389 scopus 로고    scopus 로고
    • Homoclinic snaking of localized states in doubly diffusive convection
    • BEAUME, C., BERGEON, A. & KNOBLOCH, E. 2011 Homoclinic snaking of localized states in doubly diffusive convection. Phys. Fluids 23, 094102.
    • (2011) Phys. Fluids , vol.23 , pp. 094102
    • Beaume, C.1    Bergeon, A.2    Knobloch, E.3
  • 6
    • 41849088432 scopus 로고    scopus 로고
    • Spatially localized states in natural doubly diffusive convection
    • BERGEON, A. & KNOBLOCH, E. 2008 Spatially localized states in natural doubly diffusive convection. Phys. Fluids 20, 034102.
    • (2008) Phys. Fluids , vol.20 , pp. 034102
    • Bergeon, A.1    Knobloch, E.2
  • 7
    • 0347875992 scopus 로고    scopus 로고
    • Magnetohydrodynamic convectons
    • BLANCHFLOWER, S. 1999 Magnetohydrodynamic convectons. Phys. Lett. A 261, 74-81.
    • (1999) Phys. Lett A , vol.261 , pp. 74-81
    • Blanchflower, S.1
  • 8
    • 33751252789 scopus 로고    scopus 로고
    • Snakes and ladders: Localized states in the Swift-Hohenberg equation
    • BURKE, J. & KNOBLOCH, E. 2007 Snakes and ladders: localized states in the Swift-Hohenberg equation. Phys. Lett. A 360, 681-688.
    • (2007) Phys. Lett A , vol.360 , pp. 681-688
    • Burke, J.1    Knobloch, E.2
  • 10
    • 35949005714 scopus 로고
    • Pattern selection in rotating convection with experimental boundary conditions
    • CLUNE, T. & KNOBLOCH, E. 1993 Pattern selection in rotating convection with experimental boundary conditions. Phys. Rev. E 47, 2536-2550.
    • (1993) Phys. Rev e , vol.47 , pp. 2536-2550
    • Clune, T.1    Knobloch, E.2
  • 11
    • 8444231620 scopus 로고    scopus 로고
    • The envelope of a one-dimensional pattern in the presence of a conserved quantity
    • COX, S. M. 2004 The envelope of a one-dimensional pattern in the presence of a conserved quantity. Phys. Lett. A 333, 91-101.
    • (2004) Phys. Lett A , vol.333 , pp. 91-101
    • Cox, S.M.1
  • 12
    • 0033918430 scopus 로고    scopus 로고
    • Instability of rotating convection
    • COX, S. M. & MATTHEWS, P. C. 2000 Instability of rotating convection. J. Fluid Mech. 403, 153-172.
    • (2000) J. Fluid Mech , vol.403 , pp. 153-172
    • Cox, S.M.1    Matthews, P.C.2
  • 13
    • 0035252977 scopus 로고    scopus 로고
    • New instabilities in two-dimensional rotating convection and magnetoconvection
    • COX, S. M. & MATTHEWS, P. C. 2001 New instabilities in two-dimensional rotating convection and magnetoconvection. Physica D 149, 210-229.
    • (2001) Physica D , vol.149 , pp. 210-229
    • Cox, S.M.1    Matthews, P.C.2
  • 14
    • 33846027126 scopus 로고    scopus 로고
    • Localized convection cells in the presence of a vertical magnetic field
    • DAWES, J. H. P. 2007 Localized convection cells in the presence of a vertical magnetic field. J. Fluid Mech. 570, 385-406.
    • (2007) J. Fluid Mech , vol.570 , pp. 385-406
    • Dawes, J.H.P.1
  • 15
    • 43049104801 scopus 로고    scopus 로고
    • Localized pattern formation with a large-scale mode: Slanted snaking
    • DAWES, J. H. P. 2008 Localized pattern formation with a large-scale mode: slanted snaking. SIAM J. Appl. Dyn. Syst. 7, 186-206.
    • (2008) SIAM J. Appl. Dyn. Syst , vol.7 , pp. 186-206
    • Dawes, J.H.P.1
  • 16
    • 77956481640 scopus 로고    scopus 로고
    • Localized states in a model of pattern formation in a vertically vibrated layer
    • DAWES, J. H. P. & LILLEY, S. 2010 Localized states in a model of pattern formation in a vertically vibrated layer. SIAM J. Appl. Dyn. Syst. 9, 238-260.
    • (2010) SIAM J. Appl. Dyn. Syst , vol.9 , pp. 238-260
    • Dawes, J.H.P.1    Lilley, S.2
  • 18
    • 0000810343 scopus 로고
    • Strong selection or rejection of spatially periodic patterns in degenerate bifurcations
    • ECKHAUS, W. & IOOSS, G. 1989 Strong selection or rejection of spatially periodic patterns in degenerate bifurcations. Physica D 39, 124-146.
    • (1989) Physica D , vol.39 , pp. 124-146
    • Eckhaus, W.1    Iooss, G.2
  • 19
    • 0003107778 scopus 로고
    • Nonlinear and non-local dynamics of spatially extended systems: Stationary states, bifurcations and stability
    • ELMER, F. J. 1988 Nonlinear and non-local dynamics of spatially extended systems: stationary states, bifurcations and stability. Physica D 30, 321-342.
    • (1988) Physica D , vol.30 , pp. 321-342
    • Elmer, F.J.1
  • 20
    • 84873328159 scopus 로고
    • Parallels between pattern formation in high-power ferromagnetic resonance and fluid convection
    • ed. S. Kai World Scientific
    • ELMER, F. J. 1992 Parallels between pattern formation in high-power ferromagnetic resonance and fluid convection. In Pattern Formation in Complex Dissipative Systems (ed. S. Kai). pp. 309-313. World Scientific.
    • (1992) Pattern Formation in Complex Dissipative Systems , pp. 309-313
    • Elmer, F.J.1
  • 21
    • 33846931319 scopus 로고    scopus 로고
    • The effects of rotation rate on deep convection in giant planets with small solid cores
    • EVONUK, M. & GLATZMAIER, G. A. 2007 The effects of rotation rate on deep convection in giant planets with small solid cores. Planet. Space Sci. 55, 407-412.
    • (2007) Planet. Space Sci , vol.55 , pp. 407-412
    • Evonuk, M.1    Glatzmaier, G.A.2
  • 22
    • 34548556308 scopus 로고    scopus 로고
    • Proposed resolution of theory-experiment discrepancy in homoclinic snaking
    • FIRTH, W. J., COLUMBO, L. & SCROGGIE, A. J. 2007 Proposed resolution of theory-experiment discrepancy in homoclinic snaking. Phys. Rev. Lett. 99, 104503.
    • (2007) Phys. Rev. Lett , vol.99 , pp. 104503
    • Firth, W.J.1    Columbo, L.2    Scroggie, A.J.3
  • 24
    • 0005143318 scopus 로고
    • Planform selection in rotating convection: Hexagonal symmetry
    • GOLDSTEIN, H. F., KNOBLOCH, E. & SILBER, M. 1992 Planform selection in rotating convection: hexagonal symmetry. Phys. Rev. A 46, 4755-4761.
    • (1992) Phys. Rev A , vol.46 , pp. 4755-4761
    • Goldstein, H.F.1    Knobloch, E.2    Silber, M.3
  • 25
    • 84927257798 scopus 로고
    • Nonlinear convection in a rotating layer: Amplitude expansions and normal forms
    • GUCKENHEIMER, J. & KNOBLOCH, E. 1983 Nonlinear convection in a rotating layer: amplitude expansions and normal forms. Geophys. Astrophys. Fluid Dyn. 23, 247-272.
    • (1983) Geophys. Astrophys. Fluid Dyn , vol.23 , pp. 247-272
    • Guckenheimer, J.1    Knobloch, E.2
  • 26
    • 0009896620 scopus 로고
    • Evolution equations for Taylor vortices in the small-gap limit
    • HALL, P. 1984 Evolution equations for Taylor vortices in the small-gap limit. Phys. Rev. A 29, 2921-2923.
    • (1984) Phys. Rev A , vol.29 , pp. 2921-2923
    • Hall, P.1
  • 27
    • 84857742511 scopus 로고    scopus 로고
    • Weakly subcritical stationary patterns: Eckhaus instability and homoclinic snaking
    • KAO, H.-C. & KNOBLOCH, E. 2012 Weakly subcritical stationary patterns: Eckhaus instability and homoclinic snaking. Phys. Rev. E 85, 026211.
    • (2012) Phys. Rev e , vol.85 , pp. 026211
    • Kao, H.-C.1    Knobloch, E.2
  • 28
    • 0032155793 scopus 로고    scopus 로고
    • Rotating convection: Recent developments
    • KNOBLOCH, E. 1998 Rotating convection: recent developments. Intl J. Engng Sci. 36, 1421-1450.
    • (1998) Intl J. Engng Sci , vol.36 , pp. 1421-1450
    • Knobloch, E.1
  • 29
    • 77955616598 scopus 로고    scopus 로고
    • Spatially localized binary fluid convection in a porous medium
    • LO JACONO, D., BERGEON, A. & KNOBLOCH, E. 2010 Spatially localized binary fluid convection in a porous medium. Phys. Fluids 22, 073601.
    • (2010) Phys. Fluids , vol.22 , pp. 073601
    • Jacono, D.L.O.1    Bergeon, A.2    Knobloch, E.3
  • 32
    • 0029151986 scopus 로고
    • Asymmetry and Hopf bifurcation in spherical Couette flow
    • MAMUN, C. K. & TUCKERMAN, L. S. 1995 Asymmetry and Hopf bifurcation in spherical Couette flow. Phys. Fluids 7, 80-91.
    • (1995) Phys. Fluids , vol.7 , pp. 80-91
    • Mamun, C.K.1    Tuckerman, L.S.2
  • 33
    • 0001010366 scopus 로고    scopus 로고
    • Vortex dynamics and zonal flows
    • MARCUS, P. S., KUNDU, T. & LEE, C. 2000 Vortex dynamics and zonal flows. Phys. Plasmas 7, 1630-1640.
    • (2000) Phys. Plasmas , vol.7 , pp. 1630-1640
    • Marcus, P.S.1    Kundu, T.2    Lee, C.3
  • 34
    • 0033006763 scopus 로고    scopus 로고
    • Open-ocean convection: Observations, theory, and models
    • MARSHALL, J. & SCHOTT, F. 1999 Open-ocean convection: observations, theory, and models. Rev. Geophys. 37, 1-64.
    • (1999) Rev. Geophys , vol.37 , pp. 1-64
    • Marshall, J.1    Schott, F.2
  • 35
    • 0034215317 scopus 로고    scopus 로고
    • Pattern formation with a conservation law
    • MATTHEWS, P. C. & COX, S. M. 2000 Pattern formation with a conservation law. Nonlinearity 13, 1293-1320.
    • (2000) Nonlinearity , vol.13 , pp. 1293-1320
    • Matthews, P.C.1    Cox, S.M.2
  • 36
    • 0041471616 scopus 로고    scopus 로고
    • Existence and stability of singular patterns in a Ginzburg-Landau equation coupled with a mean field
    • NORBURY, J., WEI, J. & WINTER, M. 2002 Existence and stability of singular patterns in a Ginzburg-Landau equation coupled with a mean field. Nonlinearity 15, 2077-2096.
    • (2002) Nonlinearity , vol.15 , pp. 2077-2096
    • Norbury, J.1    Wei, J.2    Winter, M.3
  • 37
    • 34247872980 scopus 로고    scopus 로고
    • Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field
    • NORBURY, J., WEI, J. & WINTER, M. 2007 Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field. Eur. J. Appl. Maths 18, 129-151.
    • (2007) Eur. J. Appl. Maths , vol.18 , pp. 129-151
    • Norbury, J.1    Wei, J.2    Winter, M.3
  • 38
    • 34247252993 scopus 로고    scopus 로고
    • Baroclinic vorticity production in protoplanetary disks. I. Vortex formation
    • PETERSEN, M. R., JULIEN, K. & STEWART, G. R. 2007 Baroclinic vorticity production in protoplanetary disks. I. Vortex formation. Astrophys. J. 658, 1236-1251.
    • (2007) Astrophys. J , vol.658 , pp. 1236-1251
    • Petersen, M.R.1    Julien, K.2    Stewart, G.R.3
  • 39
    • 0035981110 scopus 로고    scopus 로고
    • Finite amplitude behaviour of the Matthews-Cox instability
    • PROCTOR, M. R. E. 2001 Finite amplitude behaviour of the Matthews-Cox instability. Phys. Lett. A 292, 181-187.
    • (2001) Phys. Lett A , vol.292 , pp. 181-187
    • Proctor, M.R.E.1
  • 40
    • 0000204546 scopus 로고    scopus 로고
    • Localized structures in pattern-forming systems
    • ed. M. Golubitsky, D. Luss & S. H. Strogatz Springer
    • RIECKE, H. 1999 Localized structures in pattern-forming systems. In Pattern Formation in Continuous and Coupled Systems (ed. M. Golubitsky, D. Luss & S. H. Strogatz). pp. 215-229. Springer.
    • (1999) Pattern Formation in Continuous and Coupled Systems , pp. 215-229
    • Riecke, H.1
  • 41
    • 77749298243 scopus 로고    scopus 로고
    • Snakes and ladders: Localized solutions of plane Couette flow
    • SCHNEIDER, T. M., GIBSON, J. F. & BURKE, J. 2010 Snakes and ladders: localized solutions of plane Couette flow. Phys. Rev. Lett. 104, 104501.
    • (2010) Phys. Rev. Lett , vol.104 , pp. 104501
    • Schneider, T.M.1    Gibson, J.F.2    Burke, J.3
  • 42
    • 84963486637 scopus 로고
    • Travelling wave convection in a rotating layer
    • SILBER, M. & KNOBLOCH, E. 1990 Travelling wave convection in a rotating layer. Geophys. Astrophys. Fluid Dyn. 51, 195-209.
    • (1990) Geophys. Astrophys. Fluid Dyn , vol.51 , pp. 195-209
    • Silber, M.1    Knobloch, E.2
  • 43
    • 0039876144 scopus 로고
    • Oscillatory convection in a rotating layer
    • SILBER, M. & KNOBLOCH, E. 1993 Oscillatory convection in a rotating layer. Physica D 63, 213-232.
    • (1993) Physica D , vol.63 , pp. 213-232
    • Silber, M.1    Knobloch, E.2
  • 44
    • 21244494017 scopus 로고    scopus 로고
    • Instability of the steady states of some Ginzburg-Landau-like equations with real coefficients
    • VEGA, J. M. 2005 Instability of the steady states of some Ginzburg-Landau-like equations with real coefficients. Nonlinearity 18, 1425-1441.
    • (2005) Nonlinearity , vol.18 , pp. 1425-1441
    • Vega, J.M.1
  • 45
    • 0347512592 scopus 로고
    • Cellular convection with finite amplitude in a rotating fluid
    • VERONIS, G. 1959 Cellular convection with finite amplitude in a rotating fluid. J. Fluid Mech. 5, 401-435.
    • (1959) J. Fluid Mech , vol.5 , pp. 401-435
    • Veronis, G.1
  • 46
    • 20144367111 scopus 로고    scopus 로고
    • On a cubic-quintic Ginzburg-Landau equation with global coupling
    • WEI, J. & WINTER, M. 2004 On a cubic-quintic Ginzburg-Landau equation with global coupling. Proc. Am. Math. Soc. 133, 1787-1796.
    • (2004) Proc. Am. Math. Soc , vol.133 , pp. 1787-1796
    • Wei, J.1    Winter, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.