Forced two layer beta-plane quasigeostrophic flow. Part I: Long-time existence and uniqueness of weak solutions

AbstractWe consider a model of quasigeostrophic turbulence that has proven useful in theoretical studies of large scale heat transport and coherent structure formation in planetary atmospheres and oceans. The model consists of a coupled pair of hyperbolic PDEs with a forcing which represents domain-scale thermal energy source. Although the use to which the model is typically put involves gathering information from very long numerical integrations, little of a rigorous nature is known about long-time properties of solutions to the equations. In this first paper we define a notion of weak solution, and show using Galerkin methods the long-time existence and uniqueness of such solutions

Demographic responses to the chemical control of Doublegee

Control of Doublegee in medic pasture, 88WH47. Competitive effect and response of Emex australis in a grazed animal pasture

Measurement of the mass of the τ lepton

A data-driven energy scan in the immediate vicinity of the τ pair production threshold has been performed using the Beijing Spectrometer at the Beijing Electron-Positron Collider. Approximately 5 pb^(-1) of data, distributed over 12 scan points, have been collected. A previous mass value for the τ lepton, obtained using only the eμ final state, has been published. In this paper, the final BES result on the mass measurement is presented. The analysis is based on the combined data from the ee, eμ, eh, μμ, μh, and hh final states, where h denotes a charged π or K. A maximum likelihood fit to the τ pair production cross section data yields the value m_τ=1776.96_(-0.21)-0.17^(+0.18+0.25) MeV

Personal Facial Recognition for Interactive Games

During the last several years, facial recognition technology has seen many improvements within the field. Often, the research focuses on creating systems that generalize well to large groups of users via a one-size fits all model. However, there is the possibility that a higher accuracy could be achieved on a per-user basis by tailoring the model specifically to them. The goal of this project is to seamlessly integrate data collection and machine learning in a game to personalize a general model to individual users. A game provides a medium for data generation and motivates the user to provide authentic data by playing. Overall, our experiment shows promising results for personalization in games, as the personal model performs better than the general model in both speed and accuracy

Long-time Behavior of a Two-layer Model of Baroclinic Quasi-geostrophic Turbulence

We study a viscous two-layer quasi-geostrophic beta-plane model that is forced by imposition of a spatially uniform vertical shear in the eastward (zonal) component of the layer flows, or equivalently a spatially uniform north-south temperature gradient. We prove that the model is linearly unstable, but that non-linear solutions are bounded in time by a bound which is independent of the initial data and is determined only by the physical parameters of the model. We further prove, using arguments first presented in the study of the Kuramoto-Sivashinsky equation, the existence of an absorbing ball in appropriate function spaces, and in fact the existence of a compact finite-dimensional attractor, and provide upper bounds for the fractal and Hausdorff dimensions of the attractor. Finally, we show the existence of an inertial manifold for the dynamical system generated by the model's solution operator. Our results provide rigorous justification for observations made by Panetta based on long-time numerical integrations of the model equations

Optimizing an MPI weather forecasting model via processor virtualization

Abstract—Weather forecasting models are computationally intensive applications. These models are typically executed in parallel machines and a major obstacle for their scalability is load imbalance. The causes of such imbalance are either static (e.g. topography) or dynamic (e.g. shortwave radiation, moving thunderstorms). Various techniques, often embedded in the application’s source code, have been used to address both sources. However, these techniques are inflexible and hard to use in legacy codes. In this paper, we demonstrate the effectiveness of processor virtualization for dynamically balancing the load in BRAMS, a mesoscale weather forecasting model based on MPI paral-lelization. We use the Charm++ infrastructure, with its over-decomposition and object-migration capabilities, to move sub-domains across processors during execution of the model. Pro-cessor virtualization enables better overlap between computation and communication and improved cache efficiency. Furthermore, by employing an appropriate load balancer, we achieve better processor utilization while requiring minimal changes to the model’s code. I

Coupling Microstructure Outputs of Process Models to Ultrasonic Inspectability Predictions

The efforts of the materials community can be characterized as the study of the relationship of processing, structure, properties and performance, as schematically illustrated in Figure 1. Added, in parentheses, are quantities of importance when these ideas are applied to ultrasonic NDE. It would be highly desirable if one could start from models of processes such as rolling, casting and extrusion; predict the microstructural features produced, such as grain size or shape, texture (preferred grain orientation), or the two-point correlation of elastic constants (to be discussed later); predict the resulting ultrasonic properties such as velocity v, attenuation a and backscattering coefficient η; and ultimately determine the inspectability of the part. Such a capability would allow NDE to be considered explicitly during the selection of material processing procedures

Functionalisation of bolaamphiphiles with mononuclear bis(2,2'-bipyridyl)ruthenium(II) complexes for application in self assembled monolayers

A novel ruthenium(II) polypyridyl complex connected competently to a bolaamphiphile, containing amide linkages to provide rigidity via hydrogen bonding in the monolayer, has been prepared. The ruthenium(II) complexes of this ligand and of the intermediates in the synthesis were prepared by modification of the coordinated ligands, demonstrating the synthetic versatility and robustness of this family of complexes. All ruthenium complexes were characterised by electrochemical and spectroscopic techniques and were found to have similar properties to the parent complex [Ru(bipy)[3]][2][+], and remain versatile photosensitisers, with well-defined properties, despite extensive substitution of the bipy ligand