On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations

We investigate the large time behavior of an axisymmetric model for the 3D Euler equations. In \cite{HL09}, Hou and Lei proposed a 3D model for the axisymmetric incompressible Euler and Navier-Stokes equations with swirl. This model shares many properties of the 3D incompressible Euler and Navier-Stokes equations. The main difference between the 3D model of Hou and Lei and the reformulated 3D Euler and Navier-Stokes equations is that the convection term is neglected in the 3D model. In \cite{HSW09}, the authors proved that the 3D inviscid model can develop a finite time singularity starting from smooth initial data on a rectangular domain. A global well-posedness result was also proved for a class of smooth initial data under some smallness condition. The analysis in \cite{HSW09} does not apply to the case when the domain is axisymmetric and unbounded in the radial direction. In this paper, we prove that the 3D inviscid model with an appropriate Neumann-Robin boundary condition will develop a finite time singularity starting from smooth initial data in an axisymmetric domain. Moreover, we prove that the 3D inviscid model has globally smooth solutions for a class of large smooth initial data with some appropriate boundary condition.Comment: Please read the published versio

Unit Commitment Incorporating Spatial Distribution Control of Air Pollutant Dispersion

Air pollution problems are attracting increasing attention, especially among developing countries with frequent haze events. Renewable energy sources such as wind power are expected to help relieve such environmental concerns. However, air pollution issues under such a changing energy structure receive inadequate attention. Mostly, constraints for total pollutant emissions are considered in unit commitment (UC) and economic dispatch (ED) problems. In this paper, we propose a UC model with wind power that considers the dispersion of air pollutants. The dispersion process is described by models involving meteorological conditions and the system’s geographical distribution, to estimate the spatial distribution of air pollutants, i.e. the concentration of ground-level air pollutants at monitored locations such as load centers. A penalty cost is introduced based on this estimation. Particulate matter 2.5 micrometers or less in diameter, the major air pollutant concerning most developing countries, is selected as the focus of this work. To properly estimate and sufficiently utilize the benefits of wind power for air pollutant dispersion control, robust optimization is applied to accommodate wind power uncertainty. Case studies justify this consideration of air pollutant dispersion, and demonstrate the effectiveness of the proposed model for improving load centers’ air pollution control and utilizing wind power benefits.postprin

Mobile Emergency Generator Pre-Positioning and Real-Time Allocation for Resilient Response to Natural Disasters

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Preparation and Mechanical Properties of Continuous Carbon Nanotube Networks Modified C f

Continuous carbon nanotube (CNT) networks were formed in Cf/SiC composites via freeze-drying method. Composites were fabricated by precursor infiltration and pyrolysis (PIP) process afterwards. The different distribution morphologies of CNTs in the preforms originating from the different CNT contents were analyzed while the influence of the distribution of CNTs was discussed in detail. Compared to composites without CNTs, the interfacial shear strength (ILSS) and the flexural strength of Cf/1%CNTs/SiC were increased by 31% and 27%, respectively, but the values of Cf/2.5%CNTs/SiC decreased as a result of lots of defects caused by excess CNTs. With the analysis of ILSS, the flexural strengths, and the fracture morphologies, CNTs effectively improved the weak interfacial strength between T700SC carbon fibers and SiC matrix

Exploring The Role of Consumers’ Trust in The Online Financial Products Sales Platforms Using The Commitment–Trust Theory

Recent years, Internet Finance pops into our field of vision and plays a quite essential role in our daily life; besides, it seems to change our ordinary financial management concept in a subtle way. In order to provide convenient for consumers, many third-party platforms emerge as required simultaneously which are widely used to satisfy both investors and sellers. Therefore, it is undeniable that the success of Internet Finance’s practical meaning heavily depends on its users’ continuous support. More specifically, the “continuous support” comes from customers’ favorable comments and trust. However, the topic about internet financial sales platforms has not been completely studied in former researches. According to this, the highly practicability and significant utility of this topic indicate the importance of the present study. Based on the commitment-trust theory and Meyer and Allen’s three-component model of commitment, this paper focus on constructing a researching model which incorporates context specific antecedent. Moreover, Perceived benefit, products diversity, quality of alternatives perform well as antecedents of commitment. Using Meyer and Allen’s three-component model of commitment as a proxy for formal control, this study finds out that elements characterized such as platform assurance, products recommendation and government regulation are positively related to the trust raised by users and even the third-parties. And vice versa, trust and commitment positively affect relational outcomes that we theorize would contribute to outsourcing success as well. Both researches and their practical implications of the results are to be discussed. The results of this research provide theoretical implications for future research and practical implications for the success of internet financial products sales platforms