Search
Now showing items 11-20 of 64
Experimental exploration of fluid-driven cracks in brittle hydrogels
(Cambridge University PressJournal of Fluid Mechanics, 2018-06-10)
Hydraulic fracturing is a procedure by which a fracture is initiated and propagates due to pressure (hydraulic loading) applied by a fluid introduced inside the fracture. In this study we focus on a crack driven by an ...
Are there testable discrete Poincaré invariant physical theories?
(IOP PublishingClassical and Quantum Gravity, 2018-09-05)
In a model of physics taking place on a discrete set of points that approximates Minkowski space, one might perhaps expect there to be an empirically identifiable preferred frame. However, the work of Dowker et al (2004 ...
Capillary retraction of the edge of a stretched viscous sheet
(Cambridge University PressJournal of Fluid Mechanics, 2018-04-03)
Surface tension causes the edge of a fluid sheet to retract. If the sheet is also stretched along its edge then the flow and the rate of retraction are modified. A universal similarity solution for the Stokes flow in a ...
An elliptic regularity theorem for fractional partial differential operators
(Computational and Applied Mathematics, 2018-09-01)
Avalanching on dunes and its effects: Size statistics, stratification, & seismic surveys
(University of CambridgeApplied Mathematics and Theoretical PhysicsSt. Catharine's College, 2018-10-20)
Geophysical research has long been interdisciplinary, with many phenomena on the Earth's surface involving multiple, linked processes that are best understood using a combination of techniques. This is particularly true ...
Spiral density waves and vertical circulation in protoplanetary discs
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2018-06-01)
Spiral density waves dominate several facets of accretion disc dynamics – planet-disc interactions and gravitational instability (GI) most prominently. Though they have been examined thoroughly in two-dimensional simulations, ...
A Variational Model for Joint Motion Estimation and Image Reconstruction
(Society for Industrial and Applied MathematicsSIAM Journal on Imaging Sciences, 2018-01)
The aim of this paper is to derive and analyze a variational model for the joint estimation of motion and reconstruction of image sequences, which is based on a time-continuous Eulerian motion model. The model can be set ...
Analytic solutions for reduced leading-edge noise aerofoils
(American Institute of Aeronautics and Astronautics2018 AIAA/CEAS Aeroacoustics Conference, 2018-01-01)
This paper presents an analytic solution for the sound generated by an unsteady gust interacting with a semi-infinite flat plate with a piecewise linear periodic leading edge. The Wiener-Hopf method is used in conjunction ...
Markov numbers and Lagrangian cell complexes in the complex projective plane
(Mathematical sciences publishersGEOMETRY & TOPOLOGY, 2018)
We study Lagrangian embeddings of a class of two-dimensional cell complexes L_p,q into the complex projective plane. These cell complexes, which we call pinwheels, arise naturally in algebraic geometry as vanishing cycles ...
Aerodynamic noise from rigid trailing edges with finite porous extensions
(Cambridge University PressJournal of Fluid Mechanics, 2018-02-10)
This paper investigates the effects of finite flat porous extensions to semi-infinite impermeable flat plates in an attempt to control trailing-edge noise through bio-inspired adaptations. Specifically the problem of sound ...