Magnetorotational instability suppression and Rayleigh-Bènard convection in a semi-infinite layer

Authors
Eckhardt, Daniel Q.
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Other Contributors
Herron, Isom H., 1946-
Siegmann, W. L.
McLaughlin, Joyce
Hirsa, Amir H.
Issue Date
2016-08
Keywords
Mathematical sciences
Degree
PhD
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
Full Citation
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
Department
Dept. of Mathematical Sciences
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection
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