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Physical and Mathematical Modelling of Propagation of Planetary Waves and Nonlinear Solitary Vortical Structures in Earth's Ionosphere (1.01.87)


Funded by

Ministry of Education and Science of Georgia - National Program for Research Support

Start Date: 2005-01-01       End Date: 2005-12-01

The possibility of large-scale planetary waves (wavelength 1000 km and more) and related nonlinear distributed hurricane structures propagating in the Earth ionosphere has been investigated. The interaction of inductive electric current and spatially heterogeneous geomagnetic field is taken into account. The study on the basis of the dynamics and magnetohydrodynamic equations of the developed fluids is performed by both analytical and numerical methods. Constantly acting global factors such as spatial heterogeneity and curvature of a geomagnetic field have been shown to be the source of planetary ultraviolet (UPS) electromagnetic wave generation in the ionosphere.
1) The theory of fasting water has been developed for the disturbance propagating in the E-layer of the ionosphere. For such a weakly ionized plasma, a nonlinear generalised Charny-Obukhov equation describing the propagation of magnetized Rosby waves is derived. These waves are generated by a dynamo-electric field and are a generalization of tropospheric Rosby waves in a spinningly heterogeneous geomagnetic field in a rotating ionosphere.
2) It is shown that the mechanism of self-organization as spinning vortex structures is the joint compensation of the interaction of wave dispersion in the wave equation and convective nonlinearities represented by scalar and Poisson brackets. The resulting dissociated structures are anisotropic and represent a combination of symmetric hurricanes superimposed on dipole hurricanes.
3) Stationary nonlinear solutions for synoptic scale concerns are obtained analytically.
4) It is established that the so-called ionospheric layers E and F move. Fast and slow low frequency electromagnetic planetary waves.
5) A closed-loop system of nonlinear, privately produced differential equations describing the propagation of three-dimensional (x, y, z) planetary-scale UDS electromagnetic waves in the ionosphere is obtained.

Project members:

Publications

  • Jemal Rogava, Mikheil Tsiklauri, Zurab Gegechkori, High degree precision decomposition method for the evolution problem with an operator under a split form, Paris, M2AN, Vol.36, no.4, pp. 693-704, , 2002.
  • Jemal Rogava, Mikheil Tsiklauri, Zurab Gegechkori, The fourth order accuracy decomposition scheme for an evolution problem, Paris, ESAIM-Mathematical Modelling and Numerical Analysis, M2AN, Vol.38, no.4, pp.707-722, , 2004.
  • Tamaz Kaladze, Jemal Rogava, Luba Tsamalashvili, Mikheil Tsiklauri, Investigation and numerical resolution of initial-boundary value problem for the generalized Charney–Obukhov and Hasagewa–Mima equations, Physics Letters A,Vol: 343, Issue: 1, Page: 199-215, Elsevier, 2005.
  • Tamaz Kaladze, Oleg Pokhotelov, Sagdeev Roald, Lennart Stenflo, Pradip Shukla, Drift wave driven zonal flows in plasmas, Physics of Plasmas, Volume 12, Issue 12, article id. 122311 6 pp. (2005), American Institute of Physics, 2005.