Nodal soliton solutions for quasilinear Schrodinger equations with critical exponent
作者:
Deng, Yinbin
* ;Peng, Shuangjie
( 彭双阶 ) ;Wang, Jixiu
期刊:
Journal of Mathematical Physics ,2013年54(1):011504-1-011504-27 ISSN:0022-2488
作者机构:
[Peng, Shuangjie; Deng, Yinbin] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Wang, Jixiu] Xiangfan Univ, Sch Math & Comp Sci, Xiangfan 441053, Peoples R China.
通讯机构:
[Deng, Yinbin] H;Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
关键词:
critical exponents, minimisation, nonlinear differential equations, Schrodinger equation, solitons
摘要:
This paper is concerned with constructing nodal radial solutions for quasilinear Schrodinger equations in R-N with critical growth which have appeared as several models in mathematical physics. For any given integer k >= 0, by using a change of variables and minimization argument, we obtain a sign-changing minimizer with k nodes of a minimization problem. Since the critical exponent appears and the lower order term may change sign, we should use more delicate arguments. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4774153]
语种:
英文
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Zero dissipation limit with two interacting shocks of the 1D non-isentropic navier-stokes equations
作者:
Zhang, Yinghui* ;Pan, Ronghua;Wang, Yi;Tan, Zhong
期刊:
INDIANA UNIVERSITY MATHEMATICS JOURNAL ,2013年62(1):249-309 ISSN:0022-2518
通讯作者:
Zhang, Yinghui
作者机构:
[Zhang, Yinghui] Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Hunan, Peoples R China.;[Zhang, Yinghui] Cent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Phys, Wuhan 430079, Peoples R China.;[Pan, Ronghua] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA.;[Wang, Yi] Acad Sinica, AMSS, Inst Appl Math, Beijing 100190, Peoples R China.;[Tan, Zhong] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China.
通讯机构:
[Zhang, Yinghui] H;Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Hunan, Peoples R China.
关键词:
Compressible Navier-Stokes equations;Initial layers;Shock waves;Zero dissipation limit
摘要:
We investigate the zero dissipation limit problem of the one-dimensional compressible non-isentropic Navier-Stokes equations with Riemann initial data in the case of the composite wave of two shock waves. It is shown that the unique solution of the Navier-Stokes equations exists for all time, and converges to the Riemann solution of the corresponding Euler equations with the same Riemann initial data uniformly on the set away from the shocks, as both the viscosity and heat-conductivity tend to zero. In contrast to previous related works, where either shock waves are absent or the effects of initial layers are ignored, this gives the first mathematical justification of this limit for the compressible non-isentropic Navier-Stokes equations in the presence of both shocks and initial layers. Our method of proof consists of a scaling argument, the construction of the approximate solution, and delicate energy estimates.
语种:
英文
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有限域上长为2~mp~n的负循环码
作者:
沈如林;张光辉;陈博聪
期刊:
中国科学:数学 ,2013年43(10):1023-1036 ISSN:1674-7216
作者机构:
湖北民族学院数学系,恩施445000;华中师范大学数学与统计学学院,武汉430079;洛阳师范学院数学科学学院,洛阳,471022;华中师范大学数学与统计学学院,武汉,430079
关键词:
负循环码;不可约分解;生成多项式;对偶码
摘要:
设F_q是奇数阶有限域。本文主要借助X2~mp~n+1在F_q上的不可约因式分解来确定有限域F_q上所有长为2~mp~n的负循环码和自对偶的负循环码的生成多项式,这里p 是q-1的奇素因子,m和n是正整数。
语种:
中文
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Labeling outerplanar graphs with maximum degree three
作者:
Li, Xiangwen* ;Zhou, Sanming
期刊:
Discrete Applied Mathematics ,2013年161(1-2):200-211 ISSN:0166-218X
通讯作者:
Li, Xiangwen
作者机构:
[Li, Xiangwen] Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China.;[Zhou, Sanming] Univ Melbourne, Dept Math & Stat, Parkville, Vic 3010, Australia.
通讯机构:
[Li, Xiangwen] H;Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
关键词:
L(2,1)-labeling;L(2,1);Outerplanar graphs;λ-number
摘要:
An L(2, 1)-labeling of a graph G is an assignment of a non-negative integer to each vertex of G such that adjacent vertices receive integers that differ by at least two and vertices at distance two receive distinct integers. The span of such a labeling is the difference between the largest and smallest integers used. The λ-number of G, denoted by λ(G), is the minimum span over all L(2, 1)-labelings of G. Bodlaender et al. conjectured that if G is an outerplanar graph of maximum degree Δ, then λ(G) ≤ Δ + 2. Calamoneri and Petreschi proved that this conjecture is true when Δ ≥ 8 but false when Δ = 3. Meanwhile, they proved that λ(G) ≤ Δ + 5 for any outerplanar graph G with Δ = 3 and asked whether or not this bound is sharp. In this paper we answer this question by proving that λ(G) ≤ Δ + 3 for every outerplanar graph with maximum degree Δ = 3.Wealso show that this bound Δ+3 can be achieved by infinitely many outerplanar graphs with Δ = 3. © 2012 Elsevier B.V. All rights reserved.
语种:
英文
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Uncertain programming model for uncertain optimal assignment problem
作者:
Zhang, Bo;Peng, Jin*
期刊:
Applied Mathematical Modelling ,2013年37(9):6458-6468 ISSN:0307-904X
通讯作者:
Peng, Jin
作者机构:
[Zhang, Bo] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.;[Peng, Jin] Huanggang Normal Univ, Inst Uncertain Syst, Huanggang 438000, Hubei, Peoples R China.
通讯机构:
[Peng, Jin] H;Huanggang Normal Univ, Inst Uncertain Syst, Huanggang 438000, Hubei, Peoples R China.
关键词:
Optimal assignment problem;Uncertainty theory;Uncertain programming;alpha-optimal model;Kuhn-Munkres algorithm
摘要:
This paper employs uncertain programming to deal with uncertain optimal assignment problem in which profit is uncertain. Within the framework of uncertain programming, it gives the uncertainty distribution of the optimal assignment profit, and the concept of α-optimal assignment for uncertain optimal assignment problem is proposed. Then α-optimal model is also constructed. Taking advantage of properties of uncertainty theory, α-optimal model can be transformed into a corresponding deterministic form, which can be solved by Kuhn-Munkres algorithm. © 2013 Elsevier Inc.
语种:
英文
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The uncertain premium principle based on the distortion function
作者:
Li, Shengguo;Peng, Jin* ;Zhang, Bo
期刊:
Insurance: Mathematics and Economics ,2013年53(2):317-324 ISSN:0167-6687
通讯作者:
Peng, Jin
作者机构:
[Li, Shengguo; Zhang, Bo] Huazhong Normal Univ, Sch Math & Stat, Hubei 430079, Peoples R China.;[Li, Shengguo; Peng, Jin] Huanggang Normal Univ, Inst Uncertain Syst, Hubei 438000, Peoples R China.
通讯机构:
[Peng, Jin] H;Huanggang Normal Univ, Inst Uncertain Syst, Hubei 438000, Peoples R China.
关键词:
Distortion function;Insurance;Premium principle;Uncertain risk;Uncertainty theory
摘要:
In this paper, we discuss the premium principle in uncertain environment. First, the net premium principle for uncertain risks is presented within the framework of uncertainty theory. With the help of distortion function, a new uncertain premium principle is derived from the uncertain net premium. Some properties of uncertain distortion premium principle are proved. Furthermore, a sufficient and necessary condition that an uncertain premium principle is an uncertain distortion premium principle has been characterized. Finally, some examples are given to illustrate the calculations of the uncertain distortion premium. © 2013 Elsevier B.V.
语种:
英文
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Comonotonic Uncertain Vector and Its Properties
作者:
Li, Shengguo;Zhang, Bo;Peng, Jin
期刊:
Industrial Engineering and Management Systems ,2013年12(1):16-22 ISSN:1598-7248
作者机构:
School of Mathematics and Statistics, Huazhong Normal University;Institute of Uncertain Systems, Huanggang Normal University
关键词:
Li, Shengguo;Zhang, Bo;Peng, Jin;Uncertainty Theory;Uncertain Vector;Uncertain Distribution;Comonotonicity
摘要:
This paper proposes a new concept of comonotonicity of uncertain vector based on the uncertainty theory. In order to understand the comonotonicity of uncertain vector, some equivalent definitions are presented. Following the proposed concept, some basic properties of comonotonic uncertain vector are investigated. In addition, the operational law is given for calculating the uncertainty distributions of monotone functions of comonotonic uncertain variables. With the help of operational law, the comonotonic uncertain vector is applied to the premium pricing problems. At last, some numerical examples are given to illustrate the application.
语种:
英文
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高校毕业生城市住房消费影响因素分析——基于成都、兰州调研数据的实证分析
作者:
李晖;王昱博
期刊:
当代经济 ,2013年(7):37-40 ISSN:1007-9378
作者机构:
华中师范大学数学与统计学学院 湖北 武汉 430079
关键词:
高校毕业生;住房方式;影响因素;趋向
摘要:
本文通过对西部重点城市成都、兰州毕业5年以内的高校毕业生进行调研,分析了影响其住房消费方式的一些主要因素,并以成都为例就其目前购房前景进行了实证分析,在此基础上提出一些相关的政策建议,以期为改善这类群体的住房消费问题提供一定的参考。
语种:
中文
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Dynamics of a stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response Recent Trends on Applied Mathematics and Modeling
作者:
Li, Shuang* ;Zhang, Xinan
期刊:
Advances in Difference Equations ,2013年2013(1):1-20 ISSN:1687-1847
通讯作者:
Li, Shuang
作者机构:
[Zhang, Xinan; Li, Shuang] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.;[Li, Shuang] Xinxiang Univ, Dept Math, Xinxiang 453000, Henan, Peoples R China.
通讯机构:
[Li, Shuang] C;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
关键词:
predator-prey;non-autonomous;stochastic;Beddington-DeAngelis;persistence;extinction
摘要:
A stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response is proposed, the existence of a global positive solution and stochastically ultimate boundedness are derived. Sufficient conditions for extinction, non-persistence in the mean, weak persistence in the mean and strong persistence in the mean are established. The global attractiveness of the solution is also considered. Finally, numerical simulations are carried out to support our findings. MSC: 92B05, 34F05, 60H10, 93E03. © 2013 Li and Zhang; licensee Springer.
语种:
英文
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On the behavior of blow-up solutions to a parabolic problem with critical exponent
作者:
Cheng, Ting;Lan, Haipeng;Yang, Jinmei;Zheng, Gao-Feng*
期刊:
Journal of Mathematical Analysis and Applications ,2013年402(1):255-260 ISSN:0022-247X
通讯作者:
Zheng, Gao-Feng
作者机构:
[Cheng, Ting; Yang, Jinmei; Zheng, Gao-Feng; Lan, Haipeng] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构:
[Zheng, Gao-Feng] C;Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
关键词:
Parabolic problems;Critical exponent;Blow-up behavior
摘要:
The blow-up behavior of the solution to a semilinear equation with critical exponent {u(t) = Delta u + vertical bar u vertical bar(p-1)u in Omega x (0, T), u = 0 on partial derivative Omega x (0, T), u(., 0) = u0 on Omega is established. We obtain that if Omega is star-shaped about a is an element of Omega and n >= 3, p = n+2/n-2, then lim(t -> T)(T - t)(beta)u(a + y root T - t, t) exists and equals 0 or +/-kappa in L-loc(2) (R-n), where beta = 1/p-1, kappa = beta(beta) . (C) 2013 Elsevier Inc. All rights reserved.
语种:
英文
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用ISM方法分析“函数及其表示”的内容结构
作者:
王晓丽;徐章韬
期刊:
中学数学 ,2013年(03):63-64 ISSN:1002-7572
作者机构:
华中师范大学数学与统计学学院
关键词:
函数概念;数学内容;结构;数学概念;高中;学生;教材
摘要:
一、引言
“函数及其表示”是人教A版教材必修1第一章第二节的内容,是学生迈进高中学段,继集合之后的第二个重要数学概念,也是今后学习各类具体函数和其他知识的重要基础,在整个高中数学内容中占据重中之重的地位.学生在初中已经学习了函数的概念,如何做好函数概念在初中与高中之间的过渡与衔接呢?老师和学生们也各有见解,见仁见智.这里用ISM这种方法来解析教材,以期做好两种不同观点下函数概念的过渡与衔接.
语种:
中文
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A central limit theorem in the β-model for undirected random graphs with a diverging number of vertices
作者:
Yan, Ting* ;Xu, Jinfeng
期刊:
BIOMETRIKA ,2013年100(2):519-524 ISSN:0006-3444
通讯作者:
Yan, Ting
作者机构:
[Yan, Ting] Cent China Normal Univ, Dept Stat, Wuhan 430079, Peoples R China.;[Xu, Jinfeng] NYU, Div Biostat, Dept Populat Hlth, Sch Med, New York, NY 10016 USA.
通讯机构:
[Yan, Ting] C;Cent China Normal Univ, Dept Stat, Wuhan 430079, Peoples R China.
关键词:
beta-model;Central limit theorem;Fisher information matrix
摘要:
Chatterjee et al. (2011) established the consistency of the maximum likelihood estimator in the β-model for undirected random graphs when the number of vertices goes to infinity. By approximating the inverse of the Fisher information matrix, we prove asymptotic normality of the maximum likelihood estimator under mild conditions. Simulation studies and a data example illustrate the theoretical results.
语种:
英文
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基于语义的馆藏资源深度聚合模型探析
作者:
李劲;程秀峰;宋红文;张华
期刊:
湖北民族大学学报(自然科学版) ,2013年31(02):212-215 ISSN:2096-7594
作者机构:
湖北民族学院信息工程学院,湖北恩施445000;华中师范大学信息管理学院,湖北武汉430079;华中师范大学信息管理学院,湖北武汉,430079;华中师范大学数学与统计学学院,湖北武汉,430079;湖北民族学院信息工程学院,湖北恩施,445000
关键词:
语义;馆藏资源;聚合;模型
摘要:
“信息孤岛”和“资源超载”现象在当今馆藏数字资源建设中普遍存在,这种因资源的海量、多样性和异构性,在一定程度上制约了资源的利用与建设.为了缓解此类压力,需要对数量巨大的异构馆藏资源进行聚合与重组,本文提出了基于语义的馆藏资源聚合模型,更好地满足用户的各种信息需求,进而提高了馆藏资源的利用率.
语种:
中文
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对一道解三角形高考试题的挖掘
作者:
任后兵;郑俊明
期刊:
数学通讯 ,2013年(12):51-52 ISSN:0488-7395
作者机构:
华中师范大学数学与统计学学院
关键词:
高考试题;三角形;挖掘;数学方法;化归思想;极限思想;考试试题;不等式
摘要:
纵观2012年高考数学中解三角形题型,安徽卷理科数学第15题无疑是一道非常优美的题目.将解三角形与不等关系相结合而求角的范围,考查了化归思想(边与角化归整合),极限思想及不等式放缩等数学方法.以往很多考试都出现过类似题型,例如此题的问②就是2011年“北约”十三校联考自主招生考试试题.下面先看一下此题的解答,再对角的具体范围进行一般化处理,以窥其真容.
语种:
中文
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数学史上几位业余数学家
作者:
陈飞;徐汉文
期刊:
数学通讯 ,2013年(12):62-65 ISSN:0488-7395
作者机构:
华中师范大学数学与统计学学院
关键词:
女数学家;数学史;分类方式;组成部分;人类文明;数学文化;数学学科;性别分类
摘要:
1问题提出 数学文化是人类文明的重要组成部分,数学学科的建立、发展得益于数学家们的辛勤耕耘.几千年数学史上的数学家可谓是灿若星辰,如果把他们的名字一一列出,将是很长的一大串.面对如此之多的数学家,就有了统计和分类的必要.从教育的意义上考虑,也需要将数学家归类整理,摘取其中有价值的部分发扬光大.一种简单的分类方式就是按照国别分类:古希腊数学家,古埃及数学家,古巴比伦数学家,中国数学家等.当然,也可以按照性别分类:男数学家和女数学家.
语种:
中文
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一道北方数学奥林匹克试题的加强、探源与推广
作者:
程汉波;杨春波
期刊:
数学通讯 ,2013年(05):54-55 ISSN:0488-7395
作者机构:
华中师范大学数学与统计学学院
摘要:
<正>2012年第八届北方数学奥林匹克试题第6题是一个与正整数n有关的不等式证明题,结论简洁,形式优美,给人以多方面的启迪,笔者拟对该试题进行加强、探源与推广.
语种:
中文
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信息加工理论在数学学习中的运用
作者:
程琛
期刊:
数学通讯 ,2013年(16):7-10 ISSN:0488-7395
作者机构:
华中师范大学数学与统计学学院
关键词:
信息获取;数学学习;加工理论;数学知识;人类学习;学习过程;心理特征;数学教学
摘要:
<正>1引言信息加工理论将人类学习者视为一个信息加处理器,人类学习过程与计算机极为类似,是一个示信息获取、加工、存储和运用的过程.因此,信息工理论认为学习就是习得和使用信息.由此出发,学学习在很大程度上也可以看作是数学知识的习和使用.那么从数学知识的习得和使用的角度,来解学生在数学知识学习过程中的心理特征,将对师的数学教学有很大的帮助.
语种:
中文
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动态探究,揭示规律:沟通两道高考题的内在联系
作者:
陈清华;徐章韬
期刊:
数学通讯 ,2013年(14):51-52 ISSN:0488-7395
作者机构:
1. 湖北省罗田县第一中学;2. 华中师范大学数学与统计学学院
关键词:
高考题;解析几何题;教学资源;动态生成;一般化;抛物线;双曲线;试题
摘要:
1引言 2012年的高考给我们带来了一笔丰富的教育教学资源.借助超级画板,细细品读那些别出新裁、独具匠心的解析几何试题,发现一些试题的结论不仅可以推广得出一般化结论,而且还可以进行类比、迁移,例如在椭圆中成立的结论,在双曲线和抛物线中同样成立.在动态探究的过程中,由特殊向一般层层推进,步步为营,直至得出统一的性质和规律,这与新课程注重引导学生对知识的自主探究和动态生成的理念不谋而合.下面以2012年福建卷的一道解析几何题为例加以探究和说明.
语种:
中文
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描述不确定动态系统的新工具:不确定微分方程
作者:
李圣国;彭锦
期刊:
系统工程学报 ,2013年28(3):419-426 ISSN:1000-5781
作者机构:
[李圣国] 华中师范大学数学与统计学学院;[彭锦] 黄冈师范学院不确定系统研究所
关键词:
不确定理论;不确定过程;不确定微分方程;不确定动态系统
摘要:
不确定微分方程是由不确定过程驱动的一类微分方程,是一种新的描述不确定动态系统的数学工具.本文系统地介绍了不确定微分方程的研究现状.概括了几类可求解析解的不确定微分方程,并对不易求得解析解的不确定微分方程,介绍了一种求近似解的数值解法.为了更好地用不确定微分方程描述不确定系统,给出了不确定微分方程的存在唯一性定理和稳定性定理.最后介绍了不确定微分方程在经济系统及金融系统等方面的应用.
语种:
中文
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结合主成分分析法改进后的层次分析法及应用
作者:
张秀红;马迎雪;李延晖
期刊:
长江大学学报(自科版)医学卷 ,2013年10(2):30-32,39 ISSN:1673-1409
作者机构:
华中师范大学数学与统计学学院,湖北武汉,430079;华中师范大学信息与管理学院,湖北武汉,430079;[张秀红; 马迎雪; 李延晖] 华中师范大学
关键词:
层次分析法;主成分分析;因子分析
摘要:
主成分分析和层次分析法是计算综合指标的2种常用方法,2个方法各有特色却也各有局限性。层次分析法在权重的确定过程中主观成分相对较重;主成分分析在某些特定情况下的有效性也值得商榷。讨论了2种方法的局限性,提出了一种结合主成分分析法改进后的层次分析法,并结合R软件对湖北省工业企业创新能力进行综合评价,从而验证了该方法的科学性与合理性。
语种:
中文
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