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RANDOM WALKS ON THE RANDOM GRAPH
(ANNALS OF PROBABILITY, 2018-01)
Vortex-ring-induced stratified mixing: Mixing model
(Cambridge University PressJournal of Fluid Mechanics, 2018-02-25)
The study of vortex-ring-induced mixing has been significant for understanding stratified turbulent mixing in the absence of a mean
flow. Renewed interest in this topic has prompted the development of a one-dimensional ...
Horizontal locomotion of a vertically flapping oblate spheroid
(Cambridge University PressJournal of Fluid Mechanics, 2018-04-10)
We consider the self-induced motions of three-dimensional oblate spheroids of density $\rho_s$ with varying aspect ratios $AR=b/c \leq 1$, where $b$ and $c$ are the spheroids' centre-pole radius and centre-equator radius ...
Arctic Sea Ice Loss in Different Regions Leads to Contrasting Northern Hemisphere Impacts
(Wiley-BlackwellGeophysical Research Letters, 2018-01-28)
To explore the mechanisms linking Arctic sea-ice loss to changes in mid-latitude surface temperatures, we conduct idealized modeling experiments using an intermediate general circulation model and with sea-ice loss confined ...
Twistor description of spinning particles in AdS
(Springer NatureJournal of High Energy Physics, 2018-01-01)
The two-twistor formulation of particle mechanics in D-dimensional anti-de Sitter space for D=4,5,7, which linearises invariance
under the AdS isometry group Sp(4;K) for K=R,C,H,, is generalized to the massless N-extended ...
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 ...
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 ...
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 ...