Scaling laws for localised states in a nonlocal amplitude equation

Dawes, J.H.P. & Penington, C.J. (2012) Scaling laws for localised states in a nonlocal amplitude equation. Geophysical and Astrophysical Fluid Dynamics, 106(4-5), pp. 372-391.

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Abstract

It is well known that, although a uniform magnetic field inhibits the onset of small amplitude thermal convection in a layer of fluid heated from below, isolated convection cells may persist if the fluid motion within them is sufficiently vigorous to expel magnetic flux. Such fully nonlinear(‘‘convecton’’) solutions for magnetoconvection have been investigated by several authors. Here we explore a model amplitude equation describing this separation of a fluid layer into a vigorously convecting part and a magnetically-dominated part at rest. Our analysis elucidates the origin of the scaling laws observed numerically to form the boundaries in parameter space of the region of existence of these localised states, and importantly, for the lowest thermal forcing required to sustain them.

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ID Code: 75345
Item Type: Journal Article
Refereed: Yes
DOI: 10.1080/03091929.2011.652956
ISSN: 1029-0419
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Dynamical Systems in Applications (010204)
Divisions: Current > Institutes > Institute of Health and Biomedical Innovation
Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2012 Taylor & Francis Group
Deposited On: 21 Aug 2014 01:09
Last Modified: 22 Aug 2014 05:10

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