University of Jyväskylä

Dissertation: 17.6. Localization and dimension estimation of attractors in the Glukhovsky-Dolzhansky system (Mokaev)

Start date: Jun 17, 2016 02:00 PM

End date: Jun 17, 2016 05:00 PM

Location: Mattilanniemi, Agora, Beeta

Timur Mokaev
M.Sc. Timur Mokaev defends his doctoral dissertation in  Mathematical Information Technology "Localization and dimension estimation of attractors in the Glukhovsky-Dolzhansky system". Opponent Professor Ivan Zelinka  (Faculty of Electrical Engineering and Computer Science VSB-TUO Ostrava-Poruba, Czech Republic) and custos Professor Pekka Neittaanmäki (University of Jyväskylä). The doctoral dissertation is held in English.

Mokaev studied the Glukhovsky-Dolzhansky (GD) system that represents the Galerkin approximation of the Navier-Stokes equations for the problem of convective fluid flow contained within an ellipsoidal cavity under the influence of heating. GD system provides a model to the Earth’s ocean or atmosphere. For this system it is developed a special procedure for numerical localization of the hidden chaotic attractor and its Lyapunov dimension is calculated. From the hydrodynamics perspective, the existence of chaotic attractor in the approximate system is often interpreted as a turbulence in the initial system.

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Timur Mokaev,

Jyväskylä Studies in Computing number 240, 50 p. + included articles, Jyväskylä 2016, ISSN 1456-5390; 1456-5390; 240) ISBN 978-951-39-6689-8 (nid.) ISBN 978-951-39-6690-4 (PDF). Available online:

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Timur Mokaev
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