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Slender-ribbon theory
(American Institute of PhysicsPhysics of Fluids, 2016-01-11)
Ribbons are long narrow strips possessing three distinct material length scales (thickness, width, and length) which allow them to produce unique shapes unobtainable by wires or filaments. For example, when a ribbon has ...
Evaporation effects in elastocapillary aggregation
(Cambridge University PressJournal of Fluid Mechanics, 2016)
We consider the effect of evaporation on the aggregation of a number of elastic objects due to a liquid’s surface tension. In particular, we consider an array of spring–block elements in which the gaps between blocks are ...
End point of Black Ring Instabilities and the Weak Cosmic Censorship Conjecture
(American Physical SocietyPhysical Review Letters, 2016-02-18)
We produce the first concrete evidence that violation of the weak cosmic censorship conjecture can occur in asymptotically flat spaces of five dimensions by numerically evolving perturbed black rings. For certain thin ...
Stability of saddle points via explicit coderivatives of pointwise subdifferentials
(Springer, 2016)
We derive stability criteria for saddle points of a class of nonsmooth optimization problems in Hilbert spaces arising in PDE-constrained optimization, using metric regularity of infinite-dimensional set-valued mappings. ...
Optimized finite-difference (DRP) schemes perform poorly for decaying or growing oscillations
(ElsevierJournal of Computational Physics, 2016-08-11)
Computational aeroacoustics often use finite difference schemes optimized to require relatively few points per wavelength; such optimized schemes are often called Dispersion Relation Preserving (DRP). Similar techniques ...
Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models
(SpringerJournal of Mathematical Imaging and Vision, 2016-06-01)
We consider a bilevel optimisation approach for parameter learning in higher-order total variation image reconstruction models. Apart from the least squares cost functional, naturally used in bilevel learning, we propose ...
On the survival of zombie vortices in protoplanetary discs
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-09-06)
Recently it has been proposed that the zombie vortex instability (ZVI) could precipitate hydrodynamical activity and angular momentum transport in unmagnetized regions of protoplanetary discs, also known as ‘dead zones’. ...
Decay of the Cosmic Vacuum Energy
(SpringerFestschrift, 2016)
In his 2005 review, $\textit{Gravity and the Thermodynamics of Horizons}$, Paddy suggested that a vacuum in thermal equilibrium with a bath of radiation should have a gradually diminishing energy. We work through the ...