Magnetorotational instability suppression and Rayleigh-Bènard convection in a semi-infinite layer
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Authors
Eckhardt, Daniel Q.
Issue Date
2016-08
Type
Electronic thesis
Thesis
Thesis
Language
ENG
Keywords
Mathematical sciences
Alternative Title
Abstract
This work also demonstrates techniques for handling global phenomenon in the 3D Boussinesq equations on a semi-infinite domain; by considering the problem of rotating Rayleigh-Bènard convection; with non-periodicity in the y-axis, and with a semi-infinite geometry. For this problem, the absence of a periodic cell and the added boundary makes the techniques previously available for analyzing this flow unusable. Hence, a rigorous method is derived; and this uses a weighted generalized Lyapunov functional in a Sobolev embedded space, to show that rotation has a stabilizing effect on this flow. A weighted Toroidal-Poloidal decomposition is also considered as a more tractable approach for handling this type of problem.
Description
August 2016
School of Science
School of Science
Full Citation
Publisher
Rensselaer Polytechnic Institute, Troy, NY