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Nonlinear Convection in Earth's Outer Core

Nonlinear Convection in Earth's Outer Core

Paperback

General Mathematics

ISBN10: 6208441471
ISBN13: 9786208441470
Publisher: LAP Lambert Academic Publishing
Published: Apr 14 2025
Pages: 156
Weight: 0.48
Height: 0.36 Width: 6.00 Depth: 9.00
Language: English
I worked on linear and weakly non-linear theories on magneto convection in a rotating fluid with isotropic/anisotropic diffusivities using analytical methods. In linear stability analysis, we have determined the marginal stability curves at the onset of stationary and oscillatory convection using one-term Galerkin method. In weakly nonlinear analysis, a two dimensional non-linear amplitude equation near the onset of stationary and oscillatory convection has been derived. Conditions for the occurrence of secondary instabilities such as Eckhaus and Zigzag instabilities are studied. Also, stability regions of travelling waves and standing waves are studied.

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General Mathematics