Applied Mathematics Research: Recent submissions
Now showing items 16-20 of 21
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Shallow-water vortex equilibria and their stability
(2011-01-01) - Journal articleWe first describe the equilibrium form and stability of steadily-rotating simply-connected vortex patches in the single-layer quasi-geostrophic model of geophysical fluid dynamics. This model, valid for rotating shallow-water ... -
Boundary layer flow beneath an internal solitary wave of elevation
(2010-02) - Journal articleThe wave-induced flow over a fixed bottom boundary beneath an internal solitary wave of elevation propagating in an unsheared, two-layer, stably stratified fluid is investigated experimentally. Measurements of the velocity ... -
Magnetohydrodynamics dynamical relaxation of coronal magnetic fields : IV. 3D tilted nulls
(2013-09-12) - Journal articleIn this paper we study current accumulations in 3D "tilted" nulls formed by a folding of the spine and fan. A non-zero component of current parallel to the fan is required such that the null's fan plane and spine are not ... -
Magnetohydrodynamics dynamical relaxation of coronal magnetic fields : III. 3D spiral nulls
(2012-06) - Journal articleContext: The majority of studies on stressed 3D magnetic null points consider magnetic reconnection driven by an external perturbation, but the formation of a genuine current sheet equilibrium remains poorly understood. ... -
Two-dimensional magnetohydrodynamic turbulence in the small magnetic Prandtl number limit
(2012-07-01) - Journal articleIn this paper we introduce a new method for computations of two-dimensional magnetohydrodynamic (MHD) turbulence at low magnetic Prandtl number $\Pra=\nu/\eta$. When $\Pra \ll 1$, the magnetic field dissipates at a scale ...