Browsing by Title
Now showing items 2958-2977 of 4790
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On the energy dissipation rate at the inner edge of circumbinary discs
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-10-03)We study, by means of numerical simulations and analysis, the details of the accretion process from a disc on to a binary system. We show that energy is dissipated at the edge of a circumbinary disc and this is associated ...
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On the equal-mass limit of precessing black-hole binaries
(Institute of PhysicsClassical and Quantum Gravity, 2017-03-23)We analyze the inspiral dynamics of equal-mass precessing black-hole binaries using multi-timescale techniques. The orbit-averaged post-Newtonian evolutionary equations admit two constants of motion in the equal-mass limit, ...
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On the Formal Semantics of the Cognitive Middleware AWDRAT
(2015-03-03)The purpose of this work is two fold: on one hand we want to formalize the behavior of critical components of the self generating and adapting cognitive middleware AWDRAT such that the formalism not only helps to understand ...
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On the formation of a quasi-stationary twisted disc after a tidal disruption event
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-08-24)We investigate misaligned accretion discs formed after tidal disruption events that occur when a star encounters a supermassive black hole. We employ the linear theory of warped accretion discs to find the shape of a disc ...
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On the full lagrangian approach and thermophoretic deposition in gas-particle flows
(University of CambridgeDepartment of EngineeringClare College, 2003-11-25)Theoretical and experimental studies of particle deposition in turbulent pipe flow have been carried out for over forty years, but some of the most important transport mechanisms are still not well understood. The first ...
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On the generation of waves during frontogenesis
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2015-06-30)Density fronts are ubiquitous features of the ocean and atmosphere boundary layers. Boundary layers are characterised by strong surface fluxes of heat, water and momentum, and exhibit intense eddy fields that are associated ...
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On the GL$_{n}$-eigenvariety and a conjecture of Venkatesh
Let π be a cuspidal, cohomological automorphic representation of GL$_{n}$(A). Venkatesh has suggested that there should exist a natural action of the exterior algebra of a certain motivic cohomology group on the π-part of ...
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On the hyperbolicity of the most general Horndeski theory
(American Physical SocietyPHYSICAL REVIEW D, 2017-12-27)In this paper we study the hyperbolicity of the equations of motion for the most general Horndeski theory of gravity in a generic "weak field" background. We first show that a special case of this theory, namely Einstein ...
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On the initial value problem in general relativity and wave propagation in black-hole spacetimes
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2014-11-11)The first part of this thesis is concerned with the question of global uniqueness of solutions to the initial value problem in general relativity. In 1969, Choquet-Bruhat and Geroch proved, that in the class of globally ...
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On the local well-posedness of Lovelock and Horndeski theories
(American Physical SocietyPhysical Review D - Particles, Fields, Gravitation and Cosmologyhttp://dx.doi.org/10.1103/PhysRevD.96.044019, 2017-08-15)We investigate local well-posedness of the initial value problem for Lovelock and Horndeski theories of gravity. A necessary condition for local well-posedness is strong hyperbolicity of the equations of motion. Even weak ...
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On the main conjectures of Iwasawa theory for certain elliptic curves with complex multiplication
(University of CambridgeMathematics, 2017-05-30)The conjecture of Birch and Swinnerton-Dyer is unquestionably one of the most important open problems in number theory today. Let $E$ be an elliptic curve defined over an imaginary quadratic field $K$ contained in $\mathbb{C}$, ...
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On the Max-Flow Min-Cut Ratio for Directed Multicommodity Flows
(2003-07-05)We give a pure combinatorial problem whose solution determines max-flow min-cut ratio for directed multicommodity flows. In addition, this combinatorial problem has applications in improving the approximation factor of ...
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On the meaning of mixing efficiency for buoyancy driven mixing in stratified turbulent flows
(Cambridge University PressJournal of Fluid Mechanics, 2015-09-17)The concept of a mixing efficiency is widely used to relate the amount of irreversible diabatic mixing in a stratified flow to the amount of energy available to support mixing. This common measure of mixing in a flow is ...
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On the motive of some hyperKaehler varieties
(De GruyterJournal für die reine und angewandte Mathematik, 2015-06-05)We show that the motive of the Hilbert scheme of length-n subschemes on a K3 surface or on an abelian surface admits a decomposition similar to the decomposition of the motive of an abelian variety obtained by Shermenev, ...
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On the nature of the magnetic Rayleigh–Taylor instability in astrophysical plasma: the case of uniform magnetic field strength
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-07-28)The magnetic Rayleigh–Taylor instability has been shown to play a key role in many astrophysical systems. The equation for the growth rate of this instability in the incompressible limit, and the most-unstable mode that ...
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On the Noise Model of Support Vector Machine Regression
(1998-10-01)Support Vector Machines Regression (SVMR) is a regression technique which has been recently introduced by V. Vapnik and his collaborators (Vapnik, 1995; Vapnik, Golowich and Smola, 1996). In SVMR the goodness of fit ...
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On the Non-Existence of Blockwise 2-Local PRGs with Applications to Indistinguishability Obfuscation
(2017-04-06)Lin and Tessaro (Eprint 2017/250) recently proposed indistinguishability obfuscation and functional encryption candidates and proved their security based on a standard assumption on bilinear maps and a non-standard assumption ...
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On the number of non-zero elements of joint degree vectors
(Electronic Journal of CombinatoricsThe Electronic Journal of Combinatorics, 2017-03-31)Joint degree vectors give the number of edges between vertices of degree i and degree j for 1 ≤ i ≤ j ≤ n-1 in an n-vertex graph. We find lower and upper bounds for the maximum number of nonzero elements in a joint degree ...
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On the orbital evolution of a pair of giant planets in mean motion resonance
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-07-04)Pairs of extrasolar giant planets in a mean motion commensurability are common with 2:1 resonance occurring most frequently. Disc–planet interaction provides a mechanism for their origin. However, the time-scale on which ...
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On the performance of base-isolated buildings: a generic model
(University of CambridgeDepartment of Engineering, 2002-02-12)Ground-borne vibration has existed ever since the development of urban road and rail networks. Vibration generated by the moving traffic propagates through the ground and into buildings, resulting in unacceptable levels ...