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K-stability for Kähler manifolds
(International PressMathematical Research Letters, 2017-09)
We formulate a notion of K-stability for Kähler manifolds, and prove one direction of the Yau–Tian–Donaldson conjecture in this setting. More precisely, we prove that the Mabuchi functional being bounded below (resp. ...
On the Absence of Uniform Recovery in Many Real-World Applications of Compressed Sensing and the Restricted Isometry Property and Nullspace Property in Levels
(Society for Industrial and Applied MathematicsSiam Journal on Imaging Sciences, 2017-03-15)
The purpose of this paper is twofold. The first is to point out that the property of uniform recovery, meaning that all sparse vectors are recovered, does not hold in many applications where compressed sensing is successfully ...
Mobility of an axisymmetric particle near an elastic interface
(Cambridge University PressJournal of Fluid Mechanics, 2017-01-01)
Using a fully analytical theory, we compute the leading-order corrections to the translational, rotational and translation–rotation coupling mobilities of an arbitrary axisymmetric particle immersed in a Newtonian fluid ...
Nonlinear effects in buoyancy-driven variable-density turbulence
(Cambridge University PressJournal of Fluid Mechanics, 2017-01-01)
We consider the time dependence of a hierarchy of scaled L²ᵐ-norms D_m,ω and D_m,θ of the vorticity ω =∇ x u and the density gradient ∇θ, where θ = log.(ρ*/ ρ*₀), in a buoyancy-driven turbulent flow as simulated by Livescu ...
Torsional Alfvén resonances as an efficient damping mechanism for non-radial oscillations in red giant stars
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2017-06-01)
Stars are self-gravitating fluids in which pressure, buoyancy, rotation and magnetic fields provide the restoring forces for global modes of oscillation. Pressure and buoyancy energetically dominate, while rotation and ...
On Multi-Level Thinking and Scientific Understanding
(SpringerSpringerAdvances in Atmospheric Sciences, 2017-10)
Professor Duzheng YE’s name has been familiar to me ever since my postdoctoral years at MIT with Professors Jule CHARNEY and Norman PHILLIPS, back in the late 1960s. I had the enormous pleasure of meeting Professor YE ...
Einstein–Weyl spaces and near-horizon geometry
(IOP PublishingClassical and Quantum Gravity, 2017-02-02)
We show that a class of solutions of minimal supergravity in five dimensions is given by lifts of three-dimensional Einstein–Weyl structures of hyper-CR type. We characterise this class as most general near-horizon limits ...
Theory of Shape-Shifting Droplets
(American Physical SocietyPhysical Review Letters, 2017-02-24)
Recent studies of cooled oil emulsion droplets uncovered transformations into a host of flattened shapes with straight edges and sharp corners, driven by a partial phase transition of the bulk liquid phase. Here, we explore ...
More Abelian dualities in 2 + 1 dimensions
(SpringerJournal of High Energy Physics, 2017-01-01)
We expand on the recent derivation of 3d dualities using bosonization. We present in some detail a general class of Abelian duals.
Clustering instability of focused swimmers
(IOP PublishingEurophysics Letters, 2017-02-09)
One of the hallmarks of active matter is its rich nonlinear dynamics and instabilities. Recent numerical simulations of phototactic algae showed that a thin jet of swimmers, obtained from hydrodynamic focusing inside a ...