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Communications in Theoretical Physics 2022年第10期74卷 43-49页

作者： EnGui Fan Zhijun Qiao manwai yuen School of Mathematical Sciences Shanghai Center for Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear ScienceFudan UniversityShanghai 200433China School of Mathematical and Statistical Science Univerisity of Texas-Rio Geande Valley EdinburgTX 78539United States of America Department of Mathematics and Information Technology The Education University of Hong Kong10 Lo Ping RoadTai PoNew TerritoriesHong KongChina

In this paper,we prove the existence of general Cartesian vector solutions u=b(t)+A(t)x for the Ndimensional compressible Navier–Stokes equations with density-dependent viscosity,based on the matrix and curve integra... 详细信息

关键词： compressible Navier-Stokes equations with density-dependent viscosity Cartesian solutions symmetric and anti-symmetric matrix quadratic form curve integration

The extended Adomian decomposition method and its application to the rotating shallow water system for the numerical pulsrodon solutions

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Communications in Theoretical Physics 2024年第12期76卷 36-43页

作者： Hongli An Liying Hou manwai yuen School of Mathematics and Statistics Nanjing University of Science and Technology College of Sciences Nanjing Agricultural University Department of Mathematics and Information Technology The Education University of Hong Kong

The rotating shallow water system is an important physical model, which has been widely used in many scientific areas, such as fluids, hydrodynamics, geophysics, oceanic and atmospheric *** this paper, we extend the application of the Adomian decomposition method from the single equation to the coupled system to investigate the numerical solutions of the rotating shallow water system with an underlying circular paraboloidal basin. By introducing some special initial values, we obtain interesting approximate pulsrodon solutions corresponding to pulsating elliptic warm-core rings, which take the form of realistic series solutions. Numerical results reveal that the numerical pulsrodon solutions can quickly converge to the exact solutions derived by Rogers and An, which fully shows the efficiency and accuracy of the proposed method. Note that the method proposed can be effectively used to construct numerical solutions of many nonlinear mathematical physics equations. The results obtained provide some potential theoretical guidance for experts to study the related phenomena in geography, oceanic and atmospheric science.

关键词： Adomian decomposition method Adomian polynomials numerical pulsrodons rotating shallow water system

Soliton molecules and mixed solutions of the(2+1)-dimensional bidirectional Sawada-Kotera equation

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Communications in Theoretical Physics 2020年第2期72卷 9-16页

作者： Jiao-Jiao Dong Biao Li manwai yuen School of Mathematics and Statistics Ningbo UniversityNingbo 315211China Department of Mathematics and Information Technology The Education University of Hong KongLo Ping RoadTai PoNew TerritoriesHong KongChina

In this paper,we investigate some new interesting solution structures of the(2+1)-dimensional bidirectional Sawada–Kotera(bSK)*** obtain soliton molecules by introducing velocity *** the basis of soliton molecules,asymmetric solitons are obtained by changing the distance between two solitons of *** on the N-soliton solutions,several novel types of mixed solutions are generated,which include the mixed breather-soliton molecule solution by the module resonance of the wave number and partial velocity resonance,the mixed lump-soliton molecule solution obtained by partial velocity resonance and partial long wave limits,and the mixed solutions composed of soliton molecules(asymmetric solitons),lump waves,and breather *** plots are presented to clearly illustrate the dynamic features of these solutions.

关键词： (2+1)-dimensional bSK equation velocity resonance soliton molecules asymmetric solitons mixed solutions

SOME SPECIAL SELF-SIMILAR SOLUTIONS FOR A MODEL OF INVISCID LIQUID-GAS TWO-PHASE FLOW

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Acta Mathematica Scientia 2021年第1期41卷 114-126页

作者： Jianwei DONG manwai yuen School of Mathematics Zhengzhou University of AeronauticsZhengzhou 450015China Department of Mathematics and Information Technology The Education University of Hong Kong10 Lo Ping RoadTai PoNew TerritoriesHong KongChina

In this article,we are concerned with analytical solutions for a model of inviscid liquid-gas two-phase *** the basis of yuen’s works[25,27–29]on self-similar solutions for compressible Euler equations,we present some special self-similar solutions for a model of inviscid liquid-gas two-phase flow in radial symmetry with and without rotation,and in elliptic symmetry without *** blowup phenomena and the global existence of the solutions obtained are classified.

关键词： two-phase flow analytical solutions self-similar blowup global solutions

Non-Global Existence of Regular Solution to Initial Value Problem of Relativistic Euler Equations in R^(N)

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Annals of Applied Mathematics 2024年第3期40卷 249-261页

作者： Xingli Li Jianli Liu manwai yuen Department of Mathematics Shanghai UniversityShanghai 200444China Newtouch Center for Mathematics of Shanghai University Shanghai UniversityShanghai 200444China Department of Mathematics and Information Technology The Education University of Hong KongHong KongChina

In fluid mechanics and astrophysics,relativistic Euler equations can be used to describe the effects of special relativity which are an extension of the classical Euler *** this paper,we will consider the initial value problem of relativistic Euler equations in an initial bounded region of R *** the initial velocity satisfies max→x 0∈∂Ω(0)N∑i=1 v_(i)^(2)(0,→x 0)

关键词： Non-global existence relativistic Euler equations regular solution initial value problem

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探索明代鋄金熏炉的工艺

文物保护与考古科学 2021年第3期33卷 118-126页

作者：黎永辉邓汶慧香港康乐及文化事务署文物修复办事处中国香港999077

以无损的科学分析方法研究3件明宣德年制的鋄金熏炉,以解释明代时期的工艺特色。研究方法包括利用X射线荧光光谱仪和扫描电镜/能谱测定铁体和鋄金的成分,反射光显微镜深入观察铁器表面网纹坑的分布,密度和深度。以红外光谱仪检测得出熏... 详细信息

以无损的科学分析方法研究3件明宣德年制的鋄金熏炉,以解释明代时期的工艺特色。研究方法包括利用X射线荧光光谱仪和扫描电镜/能谱测定铁体和鋄金的成分,反射光显微镜深入观察铁器表面网纹坑的分布,密度和深度。以红外光谱仪检测得出熏炉的表面褐色涂料为传统的大漆。以探索当中3件熏炉工艺的异同,讨论技术上的改良变化为器物带来的好坏处。

关键词：鋄金熏炉鋄金工艺大漆网纹坑

新型冠状病毒肺炎相关事件对中药上市公司股价的影响

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中国药业 2020年第24期29卷 1-5页

作者：袁敏慧许佳琪卞鹰澳门大学中华医药研究院澳门999978

目的探讨新型冠状病毒肺炎(简称新冠肺炎)相关事件对沪深两市中药公司股价的影响。方法基于事件研究法,分析《新型冠状病毒感染的肺炎诊疗方案》(简称《诊疗方案》)推荐的中成药与人民日报发布“双黄连可抑制新型冠状病毒”事件(简称“... 详细信息

目的探讨新型冠状病毒肺炎(简称新冠肺炎)相关事件对沪深两市中药公司股价的影响。方法基于事件研究法,分析《新型冠状病毒感染的肺炎诊疗方案》(简称《诊疗方案》)推荐的中成药与人民日报发布“双黄连可抑制新型冠状病毒”事件(简称“双黄连事件”,但1 d后反转)中沪深两市中药公司股票的异常收益率,并进行统计检验。结果产品始终存在于《诊疗方案》中的中药上市公司,股价受到长期的正面影响,而产品短暂进入目录的公司股价未受太大影响。对于双黄连生产公司,在“双黄连事件”发生及反转后的首个交易日,其开盘后股价依然显著上升,但影响有限,受到正面影响的持续时间短。结论纳入《诊疗方案》的中成药及公共媒体提及的中成药均会对该公司股价造成一定影响。医药行业成为目前全球重点产业,中药公司应注重与时俱进,摆脱产品单一化,以应对市场的快速变化。

关键词：新型冠状病毒肺炎事件研究法中成药上市公司股票价格