47
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Relationships between the main parameters of the stationary two-dimensional vortical flows in the planetary atmosphere

&
Pages 223-244 | Received 07 Feb 2008, Accepted 02 Jul 2008, Published online: 30 Nov 2010

References

  • Boyd , JP . 1995 . Eight definitions of the slow manifold: seiches, pseudoseiches, and exponential smallness . Dyn. Atmos. Oceans , 22 : 49 – 75 .
  • DeMaria , M , Knaff , JA , Dostalek , J and Mueller , KJ . March 3 2004 . “ Improvement in deterministic and probabilistic tropical cyclone surface wind prediction, paper presented at “The Inter-Departamental Hurricane Conference” . March 3 , Charleston, SC, , USA
  • de Rooij , F , Linden , PF and Dalziel , SB . 1999 . Experimental investigations of quasi-two-dimensional vortices in a stratified fluid with source-sink forcing . J. Fluid Mech. , 383 : 249 – 283 .
  • Dunne , GV , Jackiw , R , Pi , S-I and Trugenberger , CA . 1991 . Self-dual Chern–Simons solitons and two-dimensional non-linear equations . Phys. Rev. D , 43 : 1332 – 1345 .
  • Dunne , GV . 1995 . Vacuum mass spectra of the SU(N) self-dual Chern–Simons–Higgs systems . Nucl. Phys. B , 433 : 333 – 348 .
  • Dunne , GV . 1994a . Self-dual Chern–Simons theories . : 1 – 42 . Available online at: arXiv.org/hep-th/9410065 (accessed 1 July 2008)
  • Dunne , GV . 1994b . Relativistic self-dual Chern–Simons vortices with adjoint coupling . Phys. Letters B , 324 : 359 – 365 .
  • Emanuel , KA . 1986 . An air-sea interaction theory for tropical cyclones. Part I . J. Atmos. Sci. , 43 : 585 – 604 .
  • Emanuel , KA . 1989 . The finite-amplitude nature of tropical cyclogenesis . J. Atmos. Sci. , 43 : 3431 – 3456 .
  • Hasegawa , A . 1985 . Self-organization processes in continuous media . Adv. Phys. , 34 : 1 – 42 .
  • Holland , GJ . 1980 . An analytic model of the wind and pressure profiles in hurricanes . Mon. Wea. Rev. , 108 : 1212 – 1218 .
  • Horton , W . 1989 . Drift wave vortices and anomalous transport . Phys. Fluids B , 1 : 524 – 537 .
  • Horton , W and Hasegawa , A . 1994 . Quasi-two-dimensional dynamics of plasmas and fluids . Chaos , 4 : 227 – 251 .
  • Jackiw , R , Lee , K and Weinberg , EJ . 1990 . Self-dual Chern–Simons solitons . Phys. Rev. D , D42 : 3488 – 3499 .
  • Joyce , G and Montgomery , D . 1973 . Negative temperature states for the two-dimensional guiding-center plasma . J. Plasma Phys. , 10 : 107 – 121 .
  • Kinney , R , McWilliams , JC and Tajima , T . 1995 . Coherent structures and turbulent cascades in two-dimensional incompressible magnetohydrodynamic turbulence . Phys. Plasmas , 2 : 3623 – 3639 .
  • Kossin , JP and Schubert , WH . 2001 . Mesovortices, polygonal flow patterns, and rapid pressure falls in hurricane-like vortices . J. Atmos. Sci. , 58 : 2196 – 2209 .
  • Kraichnan , RH and Montgomery , D . 1980 . Two-dimensional turbulence . Rep. Prog. Phys. , 43 : 547 – 619 .
  • Lee , K . 1991 . Relativistic non-Abelian self-dual systems . Phys. Lett. B , 255 : 381 – 384 .
  • Matthaeus , WH , Stribling , WT , Martinez , D , Oughton , S and Montgomery , D . 1991a . Selective decay and coherent vortices in two-dimensional incompressible turbulence . Phys. Rev. Lett. , 66 : 2731 – 2734 .
  • Matthaeus , WH , Stribling , WT , Martinez , D , Oughton , S and Montgomery , D . 1991b . Decaying, two-dimensional, Navier–Stokes turbulence at very long times . Physica D , 51 : 531 – 538 .
  • MacKay , RS . 2004 . “ Lectures on slow manifolds ” . In Energy Localization and Transfer , Edited by: Dauxois , T , Litvak-Hinenzon , A , MacKay , RS and Spanoudaki , A . 149 – 174 . Singapore : World Scientific .
  • Montgomery , D , Mathaeus , WH , Stribling , WT , Martinez , D and Oughton , S . 1992 . Relaxation in two-dimensions and the “sinh-Poisson” equation . Phys. Fluids A , 4 : 3 – 6 .
  • Morikawa , GK . 1960 . Geostrophic vortex motion . J. Meteor. , 17 : 148 – 158 .
  • Nezlin , MV , Chernikov , GP , Rylov , AY and Titishov , KB . 1996 . Self-organization of the large-scale planetary and plasma drift vortices . Chaos , 6 : 309 – 327 .
  • Nowak , U and Weimann , L . 1990 . GIANT A software package for the numerical solution of very large systems of highly nonlinear equations . Konrad-Zuse-Zentrum fur Informationtechnik Berlin , : 1 – 87 . (Technical Report TR 90–11)
  • Pedlosky , J . 1987 . Geophysical Fluid Dynamics , New York : Springer .
  • Petviashvili , VI and Pokhotelov , OA . 1986 . Solitary vortices in plasma . Sov. J. Plasma Phys. , 12 : 651 – 661 .
  • Reasor , PD and Montgomery , MT . 2001 . Three-dimensional alignment and corotation of weak, TC-like vortices via linear vortex Rossby waves . J. Atmos. Sci. , 58 : 2306 – 2330 .
  • Seyler , CE . 1996 . On the most probable states of two-dimensional plasma . J. Plasma Phys. , 56 : 553 – 567 .
  • Slansky , R . 1981 . Group theory for unified model building . Phys. Rep. , 79 : 1 – 128 .
  • Spineanu , F and Vlad , M . 2003 . Self-duality of the asymptotic relaxation states of fluids and plasmas . Phys. Rev. E , 67 ( 4 ) : 046309-1 – 046309-4 .
  • Spineanu , F , Vlad , M , Itoh , K , Sanuki , H and Itoh , S-I . 2004 . Pole dynamics for the Flierl–Petviashvili equation and zonal flows . Phys. Rev. Lett. , 93 : 025001-1 – 025001-4 .
  • Spineanu , F and Vlad , M . 2005a . Stationary vortical flows in two-dimensional plasma and planetary atmospheres . Phys. Rev. Lett. , 94 : 235003-1 – 235003-4 .
  • Spineanu , F and Vlad , M . 2005b . The asymptotic quasi-stationary states of the two-dimensional magnetically confined plasma and of the planetary atmosphere . : 1 – 127 . Available online at: arXiv.org/physics/0501020 (accessed 1 July 2008)
  • Stewart , HJ . 1943 . Periodic properties of the semi-permanent atmospheric pressure systems . Q. Appl. Math. , 1 : 262 – 267 .
  • Taylor , JB . 1986 . Relaxation and magnetic reconnection in plasmas . Rev. Mod. Phys. , 58 : 741 – 763 .
  • (accessed June 2008), Typhoon database http://agora.ex.nii.ac.jp/digital-typhoon (http://agora.ex.nii.ac.jp/digital-typhoon)
  • Wang , Y and Wu , C-C . 2004 . Current understanding of tropical cyclone structure and intensity changes – a review . Meteor. Atmos. Phys. , 87 : 257 – 278 .
  • Willoughby , HE and Black , PG . 1996 . Hurricane Andrew in Florida: dynamics of a disaster . Bull. Amer. Meteor. Soc. , 77 : 543 – 549 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.