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Scaling laws for localised states in a nonlocal amplitude equation


Reference:

Dawes, J.H.P. and 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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    Official URL:

    http://dx.doi.org/10.1080/03091929.2011.652956

    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.

    Details

    Item Type Articles
    CreatorsDawes, J.H.P.and Penington, C.J.
    DOI10.1080/03091929.2011.652956
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementDawes_GAFD_2012_106_4_5_372.pdf: This is an electronic version of an article published in Dawes, J.H.P. and 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. Geophysical and Astrophysical Fluid Dynamics is available online at: http://dx.doi.org/10.1080/03091929.2011.652956
    RefereedYes
    StatusPublished
    ID Code30920

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