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The emergence of shallow easterly jets within QBO westerlies
(Journal of the Atmospheric Sciences, 2018-01-01)
© 2018 American Meteorological Society. A configuration of an idealized general circulation model has been obtained in which a deep, stratospheric, equatorial, westerly jet is established that is spontaneously and ...
Leading-order Stokes flows near a corner
(OUPIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 2018-07-25)
Singular solutions of the Stokes equations play important roles in a variety of fluid dynamics problems. They allow the calculation of exact flows, are the basis of the boundary integral methods used in numerical computations, ...
Autophoretic motion in three dimensions.
(RSCSoft matter, 2018-05)
Janus particles with the ability to move phoretically in self-generated chemical concentration gra- dients are model systems for active matter. Their motion typically consists of straight paths with rotational diffusion ...
A generalisation of the Malgrange-Ehrenpreis theorem to find fundamental solutions to fractional PDEs
(ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017)
The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel
(SpringerAdvances in Difference Equations, 2018-12-01)
We establish analogues of the mean value theorem and Taylor’s theorem for fractional differential operators defined using a Mittag-Leffler kernel. We formulate a new model for the fractional Boussinesq equation by using ...
Gravity and the spin-2 planar Schroedinger equation
A Schroedinger equation proposed for the GMP gapped spin-2 mode of fractional Quantum Hall
states is found from a novel non-relativistic limit, applicable only in 2+1 dimensions, of the massive spin-2 Fierz-Pauli ...
Hydrodynamic mobility of a sphere moving on the centerline of an elastic tube
(PHYSICS OF FLUIDS, 2017-11)
Vortices, Painlevé integrability and projective geometry
(University of CambridgeApplied Mathematics and Theoretical PhysicsQueens', 2018-06-28)
GaugThe first half of the thesis concerns Abelian vortices and Yang-Mills theory. It is proved that the 5 types of vortices recently proposed by Manton are actually symmetry reductions of (anti-)self-dual Yang-Mills equations ...
Relativistic Quantum Tasks
Quantum mechanics, which describes the behaviour of matter and energy on very small scales, is one of the most successful theories in the history of science. Einstein's theory of special relativity, which describes the ...
Seven lessons from manyfield inflation in random potentials
(IoPJOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2018-01)
We study inflation in models with many interacting fields subject to randomly generated scalar potentials. We use methods from non-equilibrium random matrix theory to construct the potentials and an adaption of the ‘transport ...