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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Modeling Fluid Dynamics in the Ocean and Atmosphere

Discontinuity, Nonlinearity, and Complexity 4(3) (2016) 219--223 | DOI:10.5890/DNC.2016.09.001

S.V. Prants

Laboratory of Nonlinear Dynamical Systems, Pacific Oceanological Institute of the Russian Academy of Sciences, 43 Baltiiskaya st., 690041 Vladivostok, Russia

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This Special Issue collects together works on analytic solutions and numerical simulation of fluid dynamics in the ocean and atmosphere. The contributed papers address a variety of problems in geophysical fluid dynamics including formation of coherent structures in random hydrodynamic flows, hyperbolicity in the ocean, mesoscale surface and deep vortices in the ocean, formation of vocalized atmospheric vortices and motion of tropical cyclones, convective instability and nonlinear structures in systems with a multi-component convection, instability development in shear stratified flows and others.


  1. [1]  Koshel, K.V. and Prants, S.V. (2006) Chaotic advection in the ocean, Physics-Uspekhi, 49(11), 1151-1178.
  2. [2]  Prants, S.V. (2014), Chaotic Lagrangian transport and mixing in the ocean, The European Physical Journal Special Topics, 223(13), 2723-2743.
  3. [3]  Wiggins, S. (2005), The dynamical systems approach to Lagrangian transport in oceanic flows, Annual Review of Fluid Mechanics, 37(1), 295-328.
  4. [4]  Aref, H. (1984), Stirring by chaotic advection, Journal of Fluid Mechanics, 143(1), 1-21.
  5. [5]  Haller, G. (2002), Lagrangian coherent structures from approximate velocity data, Physics of Fluids, 14(6), 1851-1861.
  6. [6]  Prants, S.V. (2013), Dynamical systems theory methods to study mixing and transport in the ocean, Physica Scripta, 87(3), 038115.
  7. [7]  Prants, S.V., Budyansky, M.V., and Uleysky, M.Yu. (2014), Identifying Lagrangian fronts with favourable fishery conditions, Deep Sea Research Part I: Oceanographic Research Papers, 90, 27-35.
  8. [8]  Budyansky, M.V., Goryachev, V.A., Kaplunenko, D.D., Lobanov, V.B., Prants, S.V., Sergeev, A.F., Shlyk, N.V., and Uleysky, M.Yu. (2015), Role of mesoscale eddies in transport of Fukushima-derived cesium isotopes in the ocean, Deep Sea Research Part I: Oceanographic Research Papers, 96, 15-27.
  9. [9]  Prants, S.V., Budyansky, M.V., and Uleysky, M.Yu. (2014), Lagrangian study of surface transport in the Kuroshio Extension area based on simulation of propagation of Fukushima-derived radionuclides, Nonlinear Processes in Geophysics, 21(1), 279-289.