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Axisymmetric wetting of a liquid droplet on a stretched elastic membrane

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Applied Mathematics and Mechanics(English Edition) 2023年第6期44卷 997-1006页

作者： C.Q.ru Department of Mechanical Engineering University of AlbertaEdmontonAB T6G 2G8Canada

Wetting of a liquid droplet on another liquid substrate is governed by the well-known neumann *** present work aims to develop an explicit modified version of the neumann equations for axisymmetric wetting of a liquid droplet on a highly stretched elastic membrane of non-zero bending *** explicit modified form of the neumann equations is derived to determine the two contact angles,which is reduced to Young's equation for a liquid droplet on a rigid membrane or to the neumann equations for a liquid droplet on another liquid *** implications of the modified neumann equations are examined by comparison with some previous results reported in the recent literature,particularly considering the ranges of material and geometrical parameters of the liquid droplet-membrane system which have not been recently addressed in the literature.

关键词： neumann equation Young's equation liquid droplet membrane pretension

Fragmentation Functions for Heavy Baryons in the Recombination Model

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Chinese Physics Letters 2011年第12期28卷 104-106页

作者： PEnG ru College of Science Wuhan University of Science and TechnologyWuhan 430065 Hubei Province Key Laboratory of Systems Science in Metallurgical Process Wuhan University of Science and TechnologyWuhan 430081

Using the shower parton distributions determined by the recombination model,we predict the fragmentation functions for heavy *** we obtain the completed fragmentation functions of heavy quarks(c and b)splitting into their hadrons(mesons and baryons containing one heavy valence quark).The calculated process shows that the fragmentation functions for mesons and baryons are not independent if the hadronization of the shower partons is taken into account.

关键词： fragmentation quark meson

A Cartan’s Second Main Theorem Approach in nevanlinna Theory

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Acta Mathematica Sinica,English Series 2018年第8期34卷 1208-1224页

作者： Min ru Department of Mathematics East China Normal University Department of Mathematics University of Houston

In 2002, in the paper entitled ＂A subspace theorem approach to integral points on curves＂, Corvaja and zannier started the program of studying integral points on algebraic varieties by using Schmidt＇s subspace theorem in Diophantine approximation. Since then, the program has led a great progress in the study of Diophantine approximation. It is known that the counterpart of Schmidt＇s subspace in nevanlinna theory is H. Cartan＇s Second Main Theorem. In recent years, the method of Corvaja and zannier has been adapted by a number of authors and a big progress has been made in extending the Second Main Theorem to holomorphic mappings from C into arbitrary projective variety intersecting general divisors by using H. Cartan＇s original theorem. We call such method ＂a Cartan＇s Second Main Theorem approach＂. In this survey paper, we give a systematic study of such approach, as well as survey some recent important results in this direction including the recent work of the author with Paul Voja.

关键词： nevanlinna theory the Second Main Theorem

Importance of Life Cycle Analysis of the Printed Circuit Board Computer

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Open Journal of Applied Sciences 2016年第1期6卷 1-6页

作者： Miguel Aguilar Cortes martha L. Domínguez Patiño nadia Lara ruíz Luz E. marín Vaca Graduate Engineering and Applied Science Universidad Autónoma del Estado de Morelos Cuernavaca Morelos México Faculty of Chemical and Engineering Sciences Universidad Autónoma del Estado de Morelos Cuernavaca Morelos México

It is estimated that there is a generation of 307,224 ton/year [1] of waste from electronic and electronic equipment (WEEE) in Mexico, of which 10% is recycled, 40% remains stored and 50% reaches landfills or uncontrolled dumps. In the practice, even the regulatory instruments are not consolidated and the adequate management of the use of WEEE management, so the aim of this study is an analysis of life cycle of printed circuit boards (TCI) to identify the management alternatives that represent the least impact to the environment. This assessment was carried out using software SIMAPRO to determine the environmental impact of each scenario, through the comparison of impacts and the proposed improvements to reduce it, following phases of this methodology by applying standards, ISO 14040/ISO 14044 [2], using data from the InE official reports since 2006 until 2010 which concentrate the information of the WEEE problem in Mexico. These data were pooled to carry out inventories according to the availability in the information, identifying the environmental impacts generated by processing. The conclusions of the LCA will serve to identify the stage with greater environmental impact, and thus propose ideas for improvement in order to minimize this impact.

关键词： Analysis of Cycle of Life Environmental Impact Electrical and Electronic Equipment End of Life Printed Circuit Card

Anisotropic Moser-Trudinger Inequality Involving L^(n) norm in the Entire Space R^(n)

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Acta Mathematica Sinica,English Series 2023年第12期39卷 2427-2451页

作者： ru Long XIE Department of Mathematics Chaohu UniversityHefei 238000P.R.China School of Mathematical Sciences University of Science and Technology of ChinaHefei 236000P.R.China

Let F:R^(n)-→[0,+∞)be a convex function of class C^(2)(R^(n)/{0})which is even and positively homogeneous of degree 1,and its polar F0 represents a Finsler metric on R^(n).The anisotropic Sobolev norm in W^(1,n)(R^(... 详细信息

Let F:R^(n)-→[0,+∞)be a convex function of class C^(2)(R^(n)/ru)which is even and positively homogeneous of degree 1,and its polar F0 represents a Finsler metric on R^(n).The anisotropic Sobolev norm in W^(1,n)(R^(n))is defined by||u||F=(∫_(R_(n)(F^(n)(↓△u)+|u|^(n)dx)^(1/n)In this paper,the following sharp anisotropic Moser-Trudinger inequality involving L^(n)norm u∈W^(1,n)^(SUP)(R^(n),||u||F≤1∫_(R^(n))Ф(λ_(n)|u|n/n-1(1+a||u||^(n)_(n)1/n-1)dxn the entire space R^(n)for any 0n-2)_(j=0)tj/j!,λ_(n)=n^(n/n-1)k_(n)1/n-1 and kn is the volume of the unit Wulf ball in *** is also shown that the above supremum is infinity for all α≥***,we prove the supremum is attained,that is,there exists a maximizer for the above supremum whenα>O is sufficiently small.

关键词： Moser-Trudinger inequality anisotropic Sobolev norm blow up analysis extremal func-tion unbounded domain

Bi-Lyapunov St able Homoclinic Classes for C^(1)Generic Flows

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Acta Mathematica Sinica,English Series 2021年第7期37卷 1023-1040页

作者： ru Song zHEnG School of Innovation and Entrepreneur ship Southern University of Science and TechnologyShenzhen 518055P.R.China

We study bi-Lyapunov stable homoclinic classes for a C^(1)generic flow on a closed Rieman-nian manifold and prove that such a homoclinic class contains no *** enables a parallel study of bi-Lyapunov stable dynamics for flows and for *** example,we can then show tha t a bi-Lyapunov st able homoclinic class for a C^(1)generic flow is hyperbolic if and only if all periodic orbits in the class have the same stable index.

关键词： Bi-Lyapunov stable homoclinic class singularity dominated splitting linear cocycle

Experimental study of channel delay impact on throughput performance of TCP and its extensions in space

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Journal of zhejiang University-Science A(Applied Physics & Engineering) 2005年第10期6卷 1015-1020页

作者： WAnG ru-fa WAnG ru H. School of Computer Science Gansu Institute of Political Science and Law Lanzhou 730070 China Department of Electrical Engineering. Lamar University Beaumont TX 77710-1829 USA

Substantially long round trip time (RTT) in space channel hurts TCP interactions between the sending and receiving ends, and limits the usefulness and effectiveness of TCP feedback. Space Communication Protocol Standards-Transport Protocol (SCPS-TP) is a Transmission Control Protocol (TCP) enhancement method aimed at improving its performance in space and interplanetary Internet and is expected to have capability of being feasible applied to experimental evaluation of the effectiveness of SCPS-TP in coping with long channel delay. This paper presents an experimental evaluation of channel delay impact on throughput performance of SCPS-TP over LEO/GEO-stationary space links using a test-bed, compared with the widely deployed TCP.

关键词： Intemet protocols Satellite communication Channel delay TCP SCPS-TP

Crystallization　Kinetics　of　Amorphous　In44Sb20Te36　Phase-Change　Optical　Recording　Films　on　a　nanosecond　Scale

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Chinese Physics Letters 2004年第6期21卷 1096-1099页

作者： zHAnGXue-ru WUTTIGMattias DepartmentofPhysics HarbinInstituteofTechnologyHarbin150001 PhysikalischesInstitutderRWTHAachen D-52056AachenGermany

We propose a simple method to investigate the crystallization kinetics of amorphous In44Sb20Te36 films on a nanosecond scale, based on local reflectivity measurements of the nanosecond laser-induced crystallization using a static tester. The pulse condition in terms of laser power and pulse width required for the onset of crystallization is established. Applying this pulse condition and Kissinger"s analysis, an activation energy of 0.57 eV is estimated for the crystallization. This value deviates substantially from the activation energy determined at lower sample temperatures where crystallization proceeds in a time scale of seconds rather than nanoseconds.

关键词： Semiconductors Surfaces interfaces and thin films Optics quantum optics and lasers

Analysis on MAV/UAV cooperative combat based on complex network

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Defence Technology（防务技术） 2020年第1期16卷 150-157页

作者： Jie-ru Fan Dong-guang Li ru-peng Li Yue Wang Beijing Institute of Technology BeijingChina Beijing Electro-mechanical Engineering Institute BeijingChina Beijing Institute of Electronic System Engineering BeijingChina

A formation model of manned/unmanned aerial vehicle(MAV/UAV) collaborative combat can qualitatively and quantitatively analyze the synergistic ***,there is currently no effective and appropriate model construction method or theory,and research in the field of collaborative capability evaluation is basically *** to the actual conditions of cooperative operations,a new MAV/UAV collaborative combat network model construction method based on a complex network is *** analyzing the characteristic parameters of the abstract network,the index system and complex network are ***,a method for evaluating the synergistic effect of the cooperative combat network is *** method provides assistance for the verification and evaluation of MAV/UAV collaborative combat.

关键词： Complex network Stochastic network MAV/UAV collaborative combat Evaluation