메뉴 건너뛰기




Volumn 21, Issue 8, 2009, Pages

The role of a delay time on the spatial structure of chaotically advected reactive scalars

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; PLANKTON;

EID: 70049112684     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3210778     Document Type: Article
Times cited : (2)

References (45)
  • 1
    • 0034641934 scopus 로고    scopus 로고
    • "Importance of stirring in the development of an iron-fertilized phytoplankton bloom"
    • NATUAS0028-0836 10.1038/35037555
    • E. R. Abraham, C. S. Law, P. W. Boyd, S. J. Lavender, M. T. Maldonado, and A. R. Bowie, "Importance of stirring in the development of an iron-fertilized phytoplankton bloom," Nature (London) NATUAS0028-0836 407, 727 (2000). 10.1038/35037555
    • (2000) Nature (London) , vol.407 , pp. 727
    • Abraham, E.R.1    Law, C.S.2    Boyd, P.W.3    Lavender, S.J.4    Maldonado, M.T.5    Bowie, A.R.6
  • 2
    • 0043012037 scopus 로고    scopus 로고
    • "Combustion initiation and extinction in a 2d chaotic flow"
    • PDNPDT0167-2789 10.1016/S0167-2789(03)00172-6
    • I. Z. Kiss, J. H. Merkin, and Z. Neufeld, "Combustion initiation and extinction in a 2d chaotic flow," Physica D PDNPDT0167-2789 183, 175 (2003). 10.1016/S0167-2789(03)00172-6
    • (2003) Physica D , vol.183 , pp. 175
    • Kiss, I.Z.1    Merkin, J.H.2    Neufeld, Z.3
  • 3
    • 0036624219 scopus 로고    scopus 로고
    • "Ocean fertilization experiments may initiate a large scale phytoplankton bloom"
    • GPRLAJ0094-8276 DOI:10.1029/2001GL013677 10.1029/2001GL013677
    • Z. Neufeld, P. H. Haynes, V. Garçon, and J. Sudre, "Ocean fertilization experiments may initiate a large scale phytoplankton bloom," Geophys. Res. Lett. GPRLAJ0094-8276 29, 1534, DOI:10.1029/ 2001GL013677 (2002). 10.1029/2001GL013677
    • (2002) Geophys. Res. Lett. , vol.29 , pp. 1534
    • Neufeld, Z.1    Haynes, P.H.2    Garçon, V.3    Sudre, J.4
  • 4
    • 39049094621 scopus 로고    scopus 로고
    • "Common turbulent signature in sea surface temperature and chlorophyll maps"
    • GPRLAJ0094-8276 DOI:10.1029/2007GL030823 10.1029/2007GL030823
    • V. Nieves, C. Llebot, A. Turiel, J. Solé, E. García-Ladona, and M. Estrada, "Common turbulent signature in sea surface temperature and chlorophyll maps," Geophys. Res. Lett. GPRLAJ0094-8276 34, L23602, DOI:10.1029/2007GL030823 (2007). 10.1029/2007GL030823
    • (2007) Geophys. Res. Lett. , vol.34
    • Nieves, V.1    Llebot, C.2    Turiel, A.3    Solé, J.4    García-Ladona, E.5    Estrada, M.6
  • 5
    • 70049110265 scopus 로고    scopus 로고
    • "Designing for chaos: Applications of chaotic advection at the microscale: One contribution of 11 to a theme 'transport and mixing at the microscale'"
    • PRLAAZ1364-5021
    • M. A. Stremler, F. R. Haselton, and H. Aref, "Designing for chaos: Applications of chaotic advection at the microscale: One contribution of 11 to a theme 'transport and mixing at the microscale'," Proc. R. Soc. London, Ser. A PRLAAZ1364-5021 363, 1019 (2004).
    • (2004) Proc. R. Soc. London, Ser. A , vol.363 , pp. 1019
    • Stremler, M.A.1    Haselton, F.R.2    Aref, H.3
  • 6
    • 0033134213 scopus 로고    scopus 로고
    • "Fractal behavior of ozone, wind and temperature in the lower stratosphere"
    • GPRLAJ0094-8276 DOI:10.1029/1999GL900233 10.1029/1999GL900233
    • A. F. Tuck and S. J. Hovde, "Fractal behavior of ozone, wind and temperature in the lower stratosphere," Geophys. Res. Lett. GPRLAJ0094-8276 26, 1271, DOI:10.1029/1999GL900233 (1999). 10.1029/ 1999GL900233
    • (1999) Geophys. Res. Lett. , vol.26 , pp. 1271
    • Tuck, A.F.1    Hovde, S.J.2
  • 7
    • 0029660789 scopus 로고    scopus 로고
    • "The effect of small-scale inhomogeneities on ozone depletion in the arctic"
    • NATUAS0028-0836 10.1038/384444a0
    • S. Edouard, B. Legras, F. Lefévre, and R. Eymard, "The effect of small-scale inhomogeneities on ozone depletion in the arctic," Nature (London) NATUAS0028-0836 384, 444 (1996). 10.1038/ 384444a0
    • (1996) Nature (London) , vol.384 , pp. 444
    • Edouard, S.1    Legras, B.2    Lefévre, F.3    Eymard, R.4
  • 8
    • 0033671111 scopus 로고    scopus 로고
    • "Modeling the impact of fronts and mesoscale circulation on the nutrient supply and biogeochemistry of the upper ocean"
    • [Oceans] JGREA20148-0227 DOI:10.1029/1999JC900216 10.1029/1999JC900216
    • A. Mahadevan and D. Archer, "Modeling the impact of fronts and mesoscale circulation on the nutrient supply and biogeochemistry of the upper ocean," J. Geophys. Res., [Oceans] JGREA20148-0227 105, 1209, DOI:10.1029/1999JC900216 (2000). 10.1029/1999JC900216
    • (2000) J. Geophys. Res. , vol.105 , pp. 1209
    • Mahadevan, A.1    Archer, D.2
  • 9
    • 0021443337 scopus 로고
    • "Stirring by chaotic advection"
    • JFLSA70022-1120 10.1017/S0022112084001233
    • H. Aref, "Stirring by chaotic advection," J. Fluid Mech. JFLSA70022-1120 143, 1 (1984). 10.1017/S0022112084001233
    • (1984) J. Fluid Mech. , vol.143 , pp. 1
    • Aref, H.1
  • 10
    • 0003324684 scopus 로고    scopus 로고
    • "An introduction to chaotic advection"
    • in edited by H. Chaté, E. Villermaux, and J. M. Chomaz (Kluwer Academic/Plenum, New York)
    • J. H. E. Cartwright, M. Feingold, and O. Piro, "An introduction to chaotic advection," in Mixing: Chaos and Turbulence, edited by H. Chaté, E. Villermaux, and J. M. Chomaz (Kluwer Academic/Plenum, New York, 1999).
    • (1999) Mixing: Chaos and Turbulence
    • Cartwright, J.H.E.1    Feingold, M.2    Piro, O.3
  • 11
    • 51249173233 scopus 로고
    • "Lagrangian chaos: Transport, mixing, and diffusion in fluids"
    • RNUCAC0035-5917
    • A. Crisanti, M. Falcioni, G. Paladin, and A. Vulpiani, "Lagrangian chaos: Transport, mixing, and diffusion in fluids," Riv. Nuovo Cimento RNUCAC0035-5917 14, 1 (1991).
    • (1991) Riv. Nuovo Cimento , vol.14 , pp. 1
    • Crisanti, A.1    Falcioni, M.2    Paladin, G.3    Vulpiani, A.4
  • 12
    • 0003269368 scopus 로고    scopus 로고
    • "Transport, stirring and mixing in the atmosphere"
    • in edited by H. Chaté, E. Villermaux, and J. M. Chomaz (Kluwer Academic/Plenum, New York)
    • P. H. Haynes, "Transport, stirring and mixing in the atmosphere," in Mixing: Chaos and Turbulence, edited by H. Chaté, E. Villermaux, and J. M. Chomaz (Kluwer Academic/Plenum, New York, 1999).
    • (1999) Mixing: Chaos and Turbulence
    • Haynes, P.H.1
  • 13
    • 0036538666 scopus 로고    scopus 로고
    • "The development of chaotic advection"
    • PHFLE61070-6631 10.1063/1.1458932
    • H. Aref, "The development of chaotic advection," Phys. Fluids PHFLE61070-6631 14, 1315 (2002). 10.1063/1.1458932
    • (2002) Phys. Fluids , vol.14 , pp. 1315
    • Aref, H.1
  • 14
    • 0003582543 scopus 로고
    • (Cambridge University Press, Cambridge)
    • E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993).
    • (1993) Chaos in Dynamical Systems
    • Ott, E.1
  • 16
    • 84955741400 scopus 로고
    • "Small-scale variation of convected quantities like temperature in turbulent fluid. Part I. General discussion and the case of small conductivity"
    • JFLSA70022-1120 10.1017/S002211205900009X
    • G. K. Batchelor, "Small-scale variation of convected quantities like temperature in turbulent fluid. Part I. General discussion and the case of small conductivity," J. Fluid Mech. JFLSA70022-1120 5, 113 (1959). 10.1017/S002211205900009X
    • (1959) J. Fluid Mech. , vol.5 , pp. 113
    • Batchelor, G.K.1
  • 17
    • 9744283733 scopus 로고    scopus 로고
    • "Smooth-filamental transition of active tracer fields stirred by chaotic advection"
    • PRLTAO0031-9007 10.1103/PhysRevLett.82.2606
    • Z. Neufeld, C. López, and P. H. Haynes, "Smooth-filamental transition of active tracer fields stirred by chaotic advection," Phys. Rev. Lett. PRLTAO0031-9007 82, 2606 (1999). 10.1103/ PhysRevLett.82.2606
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 2606
    • Neufeld, Z.1    López, C.2    Haynes, P.H.3
  • 18
    • 0036592282 scopus 로고    scopus 로고
    • "Small-scale structure of nonlinearly interacting species advected by chaotic flows"
    • CHAOEH1054-1500 10.1063/1.1468248
    • E. Hernández-Garcia, C. López, and Z. Neufeld, "Small-scale structure of nonlinearly interacting species advected by chaotic flows," Chaos CHAOEH1054-1500 12, 470 (2002). 10.1063/ 1.1468248
    • (2002) Chaos , vol.12 , pp. 470
    • Hernández-Garcia, E.1    López, C.2    Neufeld, Z.3
  • 19
    • 0032484947 scopus 로고    scopus 로고
    • "The generation of plankton patchiness by turbulent stirring"
    • NATUAS0028-0836 10.1038/35361
    • E. R. Abraham, "The generation of plankton patchiness by turbulent stirring," Nature (London) NATUAS0028-0836 391, 577 (1998). 10.1038/ 35361
    • (1998) Nature (London) , vol.391 , pp. 577
    • Abraham, E.R.1
  • 20
    • 0002452591 scopus 로고
    • "Spectral analysis of zooplankton spatial heterogeneity"
    • SCIEAS0036-8075 10.1126/science.204.4388.62
    • D. L. Mackas and C. M. Boyd, "Spectral analysis of zooplankton spatial heterogeneity," Science SCIEAS0036-8075 204, 62 (1979). 10.1126/science.204.4388.62
    • (1979) Science , vol.204 , pp. 62
    • Mackas, D.L.1    Boyd, C.M.2
  • 21
    • 0022206813 scopus 로고
    • "Plankton patchiness: Biology in the physical vernacular"
    • BMRSAW0007-4977
    • D. L. Mackas, K. L. Denman, and M. R. Abbott, "Plankton patchiness: Biology in the physical vernacular," Bull. Mar. Sci. BMRSAW0007-4977 37, 652 (1985).
    • (1985) Bull. Mar. Sci. , vol.37 , pp. 652
    • Mackas, D.L.1    Denman, K.L.2    Abbott, M.R.3
  • 22
    • 0029542878 scopus 로고
    • "White-noise-like distribution of the oceanic copepod neocalanus cristatus in the subarctic North Pacific"
    • JOOCE70916-8370 10.1007/BF02285164
    • A. Tsuda, "White-noise-like distribution of the oceanic copepod neocalanus cristatus in the subarctic North Pacific," J. Oceanogr. JOOCE70916-8370 51, 261 (1995). 10.1007/BF02285164
    • (1995) J. Oceanogr. , vol.51 , pp. 261
    • Tsuda, A.1
  • 23
    • 33847748231 scopus 로고    scopus 로고
    • "Small-scale spatial structure in plankton distributions"
    • ZZZZZZ1726-4170
    • A. Tzella and P. H. Haynes, "Small-scale spatial structure in plankton distributions," Biogeosciences ZZZZZZ1726-4170 4, 173 (2007).
    • (2007) Biogeosciences , vol.4 , pp. 173
    • Tzella, A.1    Haynes, P.H.2
  • 25
    • 0039433298 scopus 로고
    • "Delay effects and differential delay equations in chemical kinetics"
    • IRPCDL0144-235X 10.1080/01442359209353268
    • I. R. Epstein, "Delay effects and differential delay equations in chemical kinetics," Int. Rev. Phys. Chem. IRPCDL0144-235X 11, 135 (1992). 10.1080/01442359209353268
    • (1992) Int. Rev. Phys. Chem. , vol.11 , pp. 135
    • Epstein, I.R.1
  • 26
    • 0000058928 scopus 로고
    • "The reactant concentration spectrum in turbulent mixing with a first-order reaction"
    • JFLSA70022-1120 10.1017/S0022112061000615
    • S. Corrsin, "The reactant concentration spectrum in turbulent mixing with a first-order reaction," J. Fluid Mech. JFLSA70022-1120 11, 407 (1961). 10.1017/S0022112061000615
    • (1961) J. Fluid Mech. , vol.11 , pp. 407
    • Corrsin, S.1
  • 27
    • 18244425654 scopus 로고    scopus 로고
    • "The role of diffusion in the chaotic advection of a passive scalar with finite lifetime"
    • EPJBFY1434-6028 10.1140/epjb/e2002-00238-2
    • C. López and E Hernández-Garcia, "The role of diffusion in the chaotic advection of a passive scalar with finite lifetime," Eur. Phys. J. B EPJBFY1434-6028 28, 353 (2002). 10.1140/ epjb/e2002-00238-2
    • (2002) Eur. Phys. J. B , vol.28 , pp. 353
    • López, C.1    Hernández-Garcia, E.2
  • 32
    • 0009820957 scopus 로고
    • "Series expansions for functional differential equations"
    • ZZZZZZ0378-620X 10.1007/BF01195491
    • S. M. V. Lunel, "Series expansions for functional differential equations," Integral Equ. Oper. Theory ZZZZZZ0378-620X 22, 93 (1995). 10.1007/BF01195491
    • (1995) Integral Equ. Oper. Theory , vol.22 , pp. 93
    • Lunel, S.M.V.1
  • 33
    • 0039483059 scopus 로고    scopus 로고
    • "Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL"
    • ACMSCU0098-3500 10.1145/513001.513002
    • K. Engelborghs, T. Luzyanina, and D. Roose, "Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL," ACM Trans. Math. Softw. ACMSCU0098-3500 28, 1 (2002). 10.1145/513001.513002
    • (2002) ACM Trans. Math. Softw. , vol.28 , pp. 1
    • Engelborghs, K.1    Luzyanina, T.2    Roose, D.3
  • 34
    • 0000640040 scopus 로고    scopus 로고
    • "Multifractal structure of chaotically advected chemical fields"
    • PLEEE81063-651X 10.1103/PhysRevE.61.3857
    • Z. Neufeld, C. López, E. Hernández-García, and T. Tél, "Multifractal structure of chaotically advected chemical fields," Phys. Rev. E PLEEE81063-651X 61, 3857 (2000). 10.1103/PhysRevE.61.3857
    • (2000) Phys. Rev. E , vol.61 , pp. 3857
    • Neufeld, Z.1    López, C.2    Hernández-García, E.3    Tél, T.4
  • 38
    • 67651018249 scopus 로고    scopus 로고
    • "Two-particle dispersion in isotropic turbulent flows"
    • ARVFA30066-4189 10.1146/annurev.fluid.40.111406.102224
    • J. P. L. C. Salazar and L. R. Collins, "Two-particle dispersion in isotropic turbulent flows," Annu. Rev. Fluid Mech. ARVFA30066-4189 41, 405 (2009). 10.1146/annurev.fluid.40.111406.102224
    • (2009) Annu. Rev. Fluid Mech. , vol.41 , pp. 405
    • Salazar, J.P.L.C.1    Collins, L.R.2
  • 39
    • 0038066440 scopus 로고    scopus 로고
    • "Plankton distribution spectra: Inter-size class variability and the relative slopes for phytoplankton and zooplankton"
    • GPRLAJ0094-8276 DOI: 10.1029/2002GL015117 10.1029/2002GL015117
    • A. P. Martin and M. A. Srokosz, "Plankton distribution spectra: Inter-size class variability and the relative slopes for phytoplankton and zooplankton," Geophys. Res. Lett. GPRLAJ0094-8276 29, 2213, DOI: 10.1029/2002GL015117 (2002). 10.1029/2002GL015117
    • (2002) Geophys. Res. Lett. , vol.29 , pp. 2213
    • Martin, A.P.1    Srokosz, M.A.2
  • 40
    • 0036592278 scopus 로고    scopus 로고
    • "Chaotic stirring by a mesoscale surface-ocean flow"
    • CHAOEH1054-1500 10.1063/1.1481615
    • E. R. Abraham and M. M. Bowen, "Chaotic stirring by a mesoscale surface-ocean flow," Chaos CHAOEH1054-1500 12, 373 (2002). 10.1063/ 1.1481615
    • (2002) Chaos , vol.12 , pp. 373
    • Abraham, E.R.1    Bowen, M.M.2
  • 41
    • 58249088323 scopus 로고    scopus 로고
    • "Stirring in the global surface ocean"
    • GPRLAJ0094-8276 DOI:10.1029/2008GL035526 10.1029/2008GL035526
    • D. W. Waugh and E. R. Abraham, "Stirring in the global surface ocean," Geophys. Res. Lett. GPRLAJ0094-8276 35, L20605, DOI:10.1029/ 2008GL035526 (2008). 10.1029/2008GL035526
    • (2008) Geophys. Res. Lett. , vol.35
    • Waugh, D.W.1    Abraham, E.R.2
  • 42
    • 0028977846 scopus 로고
    • "Scaling of fecundity, growth and development in marine planktonic copepods"
    • MESEDT0171-8630 10.3354/meps120285
    • T. Kiorboe and M. Sabatini, "Scaling of fecundity, growth and development in marine planktonic copepods," Mar. Ecol.: Prog. Ser. MESEDT0171-8630 120, 285 (1995). 10.3354/meps120285
    • (1995) Mar. Ecol.: Prog. Ser. , vol.120 , pp. 285
    • Kiorboe, T.1    Sabatini, M.2
  • 43
    • 0000383979 scopus 로고
    • "Phytoplankton patchiness indicates the fluctuation spectrum of mesoscale oceanic structure"
    • BMRSAW0007-4977
    • J. F. R. Gower, K. L. Denman, and R. J. Holyer, "Phytoplankton patchiness indicates the fluctuation spectrum of mesoscale oceanic structure," Bull. Mar. Sci. BMRSAW0007-4977 288, 157 (1980).
    • (1980) Bull. Mar. Sci. , vol.288 , pp. 157
    • Gower, J.F.R.1    Denman, K.L.2    Holyer, R.J.3
  • 45
    • 70449098129 scopus 로고    scopus 로고
    • "The modulation of biological production by oceanic mesoscale turbulence"
    • in Lecture Notes in Physics No. 744, edited by J. B. Weiss and A. Provenzale (Springer, New York)
    • M. Levy, "The modulation of biological production by oceanic mesoscale turbulence," in Transport in Geophysical Flow: Ten Years After, Lecture Notes in Physics No. 744, edited by J. B. Weiss and A. Provenzale (Springer, New York, 2008).
    • (2008) Transport in Geophysical Flow: Ten Years After
    • Levy, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.