作者：
Jian, Linni*;Xue, Honghong;Xu, Guoqing;Zhu, Xinyu;Zhao, Dongfang;Shao, Z. Y.
期刊：
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS,2013年60(8):3218-3226 ISSN：0278-0046
通讯作者：
Jian, Linni
作者机构：
[Xue, Honghong; Zhu, Xinyu; Zhao, Dongfang] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Jian, Linni] Chinese Acad Sci, Shenzhen Inst Adv Technol, Shenzhen 518055, Peoples R China.;[Jian, Linni; Xu, Guoqing] Chinese Univ Hong Kong, Sha Tin, Hong Kong, Peoples R China.;[Xu, Guoqing] Tongji Univ, Dept Elect Engn, Shanghai 200092, Peoples R China.;[Xu, Guoqing] Chinese Acad Sci, R&D Ctr Elect Vehicle, Shenzhen 518055, Peoples R China.
通讯机构：
[Jian, LN (reprint author)] Chinese Acad Sci, Shenzhen Inst Adv Technol, Shenzhen 518055, Peoples R China.
关键词：
Coordinated charging;load variance;microgrid;plug-in hybrid electric vehicle (EV) (HEV) (PHEV);regulated charging;smart grid;vehicle to grid (V2G)
摘要：
With the advent of the plug-in hybrid electric vehicles (PHEVs), the vehicle-to-grid (V2G) technology is attracting increasing attention recently. It is believed that the V2G option can aid to improve the efficiency and reliability of the power grid, as well as reduce overall cost and carbon emission. In this paper, the possibility of smoothing out the load variance in a household microgrid by regulating the charging patterns of family PHEVs is investigated. First, the mathematic model of the problem is built up. Then, the case study is conducted, which demonstrates that, by regulating the charging profiles of the PHEVs, the variance of load power can be dramatically reduced. Third, the energy losses and the subsidy mechanism are discussed. Finally, the impacts of the requested net charging quantities and the battery capacity of PHEVs on the performance of the regulated charging are investigated.
期刊：
JOURNAL OF DIFFERENTIAL EQUATIONS,2014年257(2):566-600 ISSN：0022-0396
通讯作者：
Li, Gongbao
作者机构：
[Li, Gongbao] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Li, GB (reprint author)] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
关键词：
Kirchhoff equation;Ground state solutions;Pohozaev type identity;Variational methods
摘要：
In this paper, we study the following nonlinear problem of Kirchhoff type with pure power nonlinearities: {-(a + b integral(R3) vertical bar Du vertical bar(2)) Delta u + V(x)u = vertical bar u vertical bar(p-1)u, x is an element of R-3, (0.1) u is an element of H-1 (R-3), u > 0, x is an element of R-3, where a, b > 0 are constants, 2 < p < 5 and V : R-3 -> R. Under certain assumptions on V. we prove that (0.1) has a positive ground state solution by using a monotonicity trick and a new version of global compactness lemma. Our main results especially solve problem (0.1) in the case where p is an element of (2, 3], which has been an open problem for Kirchhoff equations and can be viewed as a partial extension of a recent result of He and Zou in [14] concerning the existence of positive solutions to the nonlinear Kirchhoff problem {-(epsilon(2)a + epsilon b integral(R3) vertical bar Du vertical bar(2)) Delta u + V(x)u = f(u), x is an element of R-3, u is an element of H-1 (R-3), u > 0, x is an element of R-3, where epsilon > 0 is a parameter, V(x) is a positive continuous potential and f (u) similar to vertical bar u vertical bar(p-1)u with 3 < p < 5 and satisfies the Ambrosetti-Rabinowitz type condition. Our main results extend also the arguments used in [7,33], which deal with Schrodinger-Poisson system with pure power nonlinearities, to the Kirchhoff type problem. (C) 2014 Elsevier Inc. All rights reserved.
通讯机构：
[Xu, Y (reprint author)] Univ Georgia, Dept Biochem & Mol Biol, Computat Syst Biol Lab, Athens, GA 30602 USA.
摘要：
We have recently developed a new version of the DOOR operon database, DOOR 2.0, which is available online at http://csbl.bmb.uga.edu/DOOR/ and will be updated on a regular basis. DOOR 2.0 contains genome-scale operons for 2072 prokaryotes with complete genomes, three times the number of genomes covered in the previous version published in 2009. DOOR 2.0 has a number of new features, compared with its previous version, including (i) more than 250 000 transcription units, experimentally validated or computationally predicted based on RNA-seq data, providing a dynamic functional view of the underlying operons; (ii) an integrated operon-centric data resource that provides not only operons for each covered genome but also their functional and regulatory information such as their cis-regulatory binding sites for transcription initiation and termination, gene expression levels estimated based on RNA-seq data and conservation information across multiple genomes; (iii) a high-performance web service for online operon prediction on user-provided genomic sequences; (iv) an intuitive genome browser to support visualization of user-selected data; and (v) a keyword-based Google-like search engine for finding the needed information intuitively and rapidly in this database.
作者机构：
[Li, Gongbao; Yang, Caiyun] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Li, GB (reprint author)] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
关键词：
p-Laplacian equation;Subcritical;Without the (AR) condition;Nontrivial solutions
摘要：
In this paper, we study the existence of a nontrivial solution to the following nonlinear elliptic boundary value problem of p-Laplacian type: {-Delta(p)u = lambda f(x, u), x is an element of Omega, u = 0, x is an element of partial derivative Omega ((P)(lambda) where p > 1, lambda is an element of R(1), Omega subset of R(N) is a bounded domain and Delta(p)u = div(vertical bar del u vertical bar(p) 2 del u) is the p-Laplacian of u.f is an element of C(0) ((Omega) over bar x R(1), R(1)) is p-superlinear at t = 0 and subcritical at t = infinity. We prove that under suitable conditions for all lambda > 0, the problem ((P)(lambda)) has at least one nontrivial solution without assuming the Ambrosetti-Rabinowitz condition. Our main result extends a result for ((P)(lambda)) for when p = 2 given by Miyagaki and Souto (2008) in [8] to the general problem ((P)(lambda)) where p > 1. Meanwhile, our result is stronger than a similar result of Li and Zhou (2003) given in [15]. (C) 2010 Elsevier Ltd. All rights reserved.
作者机构：
[Zhang, Xinan] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.;[Zhang, Xinan; Singh, Satish; Kumta, Prashant; Banerjee, Ipsita] Univ Pittsburgh, Dept Chem Engn, Pittsburgh, PA 15261 USA.;[Kumta, Prashant; Jaramillo, Maria; Banerjee, Ipsita] Univ Pittsburgh, Dept Bioengn, Pittsburgh, PA USA.;[Kumta, Prashant] Univ Pittsburgh, Dept Mech Engn & Mat Sci, Pittsburgh, PA USA.;[Kumta, Prashant] Univ Pittsburgh, Ctr Complex Engn Multifunct Mat, Pittsburgh, PA USA.
通讯机构：
[Zhang, XN (reprint author)] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.
摘要：
Embryonic stem cells are conventionally differentiated by modulating specific growth factors in the cell culture media. Recently the effect of cellular mechanical microenvironment in inducing phenotype specific differentiation has attracted considerable attention. We have shown the possibility of inducing endoderm differentiation by culturing the stem cells on fibrin substrates of specific stiffness [1]. Here, we analyze the regulatory network involved in such mechanically induced endoderm differentiation under two different experimental configurations of 2-dimensional and 3-dimensional culture, respectively. Mouse embryonic stem cells are differentiated on an array of substrates of varying mechanical properties and analyzed for relevant endoderm markers. The experimental data set is further analyzed for identification of co-regulated transcription factors across different substrate conditions using the technique of bi-clustering. Overlapped bi-clusters are identified following an optimization formulation, which is solved using an evolutionary algorithm. While typically such analysis is performed at the mean value of expression data across experimental repeats, the variability of stem cell systems reduces the confidence on such analysis of mean data. Bootstrapping technique is thus integrated with the bi-clustering algorithm to determine sets of robust bi-clusters, which is found to differ significantly from corresponding bi-clusters at the mean data value. Analysis of robust bi-clusters reveals an overall similar network interaction as has been reported for chemically induced endoderm or endodermal organs but with differences in patterning between 2-dimensional and 3-dimensional culture. Such analysis sheds light on the pathway of stem cell differentiation indicating the prospect of the two culture configurations for further maturation.
摘要：
In this paper, we Study a free boundary value problem for two-phase liquid-gas model with mass-dependent viscosity coefficient when both the initial liquid and gas masses connect to Vacuum with a discontinuity. This is an extension of the paper [S. Evje, K.H. Karlsen, Global Weak Solutions for a Viscous liquid-gas model with singular pressure law, http://www.irisresearch.no/docsent/emp.nsf/wvAnsatte/SEV]. Just as in IS. Evje, K.H. Karlsen, Global weak solutions for a viscous liquid-gas model with singular pressure law. http://www.irisresearch.no/docsent/emp.nsf/wvAnsatte/SEV], the gas is assumed to be polytropic whereas the liquid is treated as an incompressible fluid. We give the proof of the global existence and uniqueness of weak solutions when beta is an element of (0, 1]. which have improved the previous result of Evje and Karlsen, and get the asymptotic behavior result, also we obtain the regularity of the Solutions by energy method. (C) 2009 Elsevier Inc. All rights reserved.
摘要：
We investigate elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities: -div(|x|(alpha)|del u vertical bar(p-2)del u) = |x|(beta)u(P(alpha,beta)-1), u(x) > 0, x.is an element of Omega subset of R-N (N = 3), 1 < p < N and alpha, beta is an element of R such that (p(N+beta))/(N-p+alpha) . For various parameters alpha, beta and various domains Omega, we establish some existence and non-existence results of solutions in rather general, possibly degenerate or singular settings.
关键词：
Weighted pseudo-almost periodic function;Decomposition;Translation invariant;Mean value
摘要：
First, we show by constructing two counterexamples that the decomposition of weighted pseudo-almost periodic functions is not unique in general. Then we prove that the decomposition of such functions is unique if PAP(0)(X, rho)is translation invariant, but not necessarily unique without the assumption. Moreover, we give an example to show that the mean value under a certain weight rho may not exist for all almost periodic functions. With these results, we answer some fundamental questions on weighted pseudo-almost periodic functions. (C) 2010 Elsevier Ltd. All rights reserved.
摘要：
In this paper, the compressible non-isentropic Navier-Stokes-Poisson (NSP) system is considered in R-3 and the influences of internal electric field on the qualitative behaviors of solutions are analyzed. We observe that the electric field leads to the rotating phenomena in charge transport and reduces the speed of fluid motion, but it does not influence the transport of charge density and the heat diffusion. Indeed, we show that both density and temperature of the NSP system converge to their equilibrium state at the same rate (1 + t)(-3/4) as the non-isentropic compressible Navier-Stokes system, but the momentum decays at the rate (1 + t)(-1/4) A. which is slower than the rate (1 + t)(-3/4) for the pure compressible Navier-Stokes system. These convergence rates are also shown to be optimal for the non-isentropic compressible NSP system. (C) 2010 Elsevier Inc. All rights reserved.
摘要：
In this paper, we consider the existence and asymptotic behavior of the global weak solutions to a two-dimensional (2D) viscous liquid-gas two-phase flow model. The analysis is based on several key a priori estimates, which are obtained by the ideas of studying the single-phase Navier-Stokes equations. This can be viewed to be a generalization of the results in [S. Evje and K. H. Karlsen, J. Differential Equations, 245 (2008), pp. 2660-2703] from one dimension to two dimensions.
作者机构：
[Peng, Shuangjie] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Wang, Zhiqiang] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA.;Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China.
通讯机构：
[Wang, ZQ (reprint author)] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
摘要：
We consider the following nonlinear Schrodinger system in R-3 {-Delta u+P(vertical bar x vertical bar)u=mu u(3)+beta upsilon(2)u, x epsilon R-3, {-Delta upsilon+Q(vertical bar x vertical bar)upsilon=nu upsilon(3)+beta u(2)upsilon, x epsilon R-3, where P(r) and Q(r) are positive radial potentials, mu > 0, nu > 0 and beta epsilon R is a coupling constant. This type of system arises, in particular, in models in Bose-Einstein condensates theory. We examine the effect of nonlinear coupling on the solution structure. In the repulsive case, we construct an unbounded sequence of non-radial positive vector solutions of segregated type, and in the attractive case we construct an unbounded sequence of non-radial positive vector solutions of synchronized type. Depending upon the system being repulsive or attractive, our results exhibit distinct characteristic features of vector solutions.
期刊：
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY,2008年59(2):291-314 ISSN：0340-6253
通讯作者：
Li, Shuchao
作者机构：
[Li, Nana; Li, Shuchao] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Li, S (reprint author)] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
摘要：
The energy of a graph is defined as the sum of the absolute values of its all eigenvalues. Gutman [Acyclic systems with extremal Huckel pi-electron energy, Theoret. Chim. Acta 45(1977) 79-87] characterized the trees with n vertices having the minimal, the second-minimal, the third-minimal, the fourth-minimal, the maximal, and the second-maximal energies. In this paper, as the continuance of it, we determine the trees with n vertices having the fifth-minimal, the sixth-minimal, the seventh-minimal, and the third-maximal energies. As a consequence, we determine the tree with n vertices having extremal Hosoya index. And at the same time, we in part solve a conjecture proposed by Zhou and Li.
摘要：
An equivalence relation called isometry is introduced to classify constacyclic codes over a finite field: the polynomial generators of constacyclic codes of length l(t)p(s) are characterized, where p is the characteristic of the finite field and l is a prime different from p. (C) 2012 Elsevier Inc. All rights reserved.
作者机构：
[Peng, Shuangjie] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Yan, Shusen] Univ New England, Dept Math, Armidale, NSW 2351, Australia.;[Cao, Daomin] Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China.;[Cao, Daomin] Chinese Acad Sci, Key Lab Random Complex Struct & Data Sci, Beijing 100190, Peoples R China.
通讯机构：
[Peng, SJ (reprint author)] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
关键词：
Critical Sobolev growth;Infinitely many solutions;p-Laplacian equations
摘要：
In this paper, we will prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth: -Delta(p)u = vertical bar u vertical bar(p)*(-2)u + mu vertical bar u vertical bar(p-2)u in Omega, u =0 on partial derivative Omega, provided N > p(2) + p, where Delta(p) is the p-Laplacian operator, 1 < p < N, p* = pN/N-p, mu > 0 and Omega is an open bounded domain in R-N. (C) 2012 Elsevier Inc. All rights reserved.
作者机构：
[Li, Gongbao; Zhang, Guo] College of Mathematics and Statistics, Central China Normal University
通讯机构：
[Li, GB (reprint author)] Cent China Normal Univ, Coll Math & Stat, Wuhan 430079, Peoples R China.
关键词：
p&q-Laplacian;multiplicity of solutions;critical exponent
摘要：
In this paper, we study the existence of multiple solutions for the following nonlinear elliptic problem of p&q-Laplacian type involving the critical Sobolev exponent:where Ω (C) R~N is a bounded domain, N>p,p*=Np/N-p is the critical Sobolev exponent and μ>0. We prove that if 1<r<q<p<N,then there is a μ0>0, such that for any μ∈(0,μ_0), the above mentioned problem possesses infinitely many weak solutions. Our result generalizes a similar result in [8] for p-Laplacian type problem.
作者机构：
[Zhu, Chang Jiang; Yao, Lei] Cent China Normal Univ, Lab Nonlinear Anal, Dept Math, Wuhan 430079, Peoples R China.
通讯机构：
[Zhu, CJ (reprint author)] Cent China Normal Univ, Lab Nonlinear Anal, Dept Math, Wuhan 430079, Peoples R China.
摘要：
In this paper, we study a two-phase liquid-gas model with constant viscosity coefficient when both the initial liquid and gas masses connect to vacuum continuously. Just as in Evje and Karlsen (Commun Pure Appl Anal 8:1867-1894, 2009) and Evje et al. (Nonlinear Anal 70:3864-3886, 2009), the gas is assumed to be polytropic whereas the liquid is treated as an incompressible fluid. We use a new technique to get the upper and lower bounds of gas and liquid masses n and m. Then we get the global existence of weak solution by the line method. Also, we obtain the uniqueness of the weak solution.
期刊：
JOURNAL OF DIFFERENTIAL EQUATIONS,2015年259(4):1256-1274 ISSN：0022-0396
通讯作者：
Shuai, Wei
作者机构：
[Shuai, Wei] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构：
[Shuai, W (reprint author)] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
关键词：
Kirchhoff-type equations;Sign-changing solutions;Nonlocal term
摘要：
We are interested in the existence of least energy sign-changing solutions for a class of Kirchhoff-type problem in bounded domains. Because the so-called nonlocal term b(integral(Omega)vertical bar del u vertical bar(2)dx)Delta u is involving in the equation, the variational functional of the equation has totally different properties from the case of b = 0. Combining constraint variational method and quantitative deformation lemma, we prove that the problem possesses one least energy sign-changing solution u(b). Moreover, we show that the energy of u(b) is strictly larger than the ground state energy. Finally, we regard b as a parameter and give a convergence property of ub as b SE arrow 0. (C) 2015 Elsevier Inc. All rights reserved.
作者：
Dougherty, Steven T.;Kim, JonLark;Kulosman, Hamid*;Liu, Hongwei
期刊：
FINITE FIELDS AND THEIR APPLICATIONS,2010年16(1):14-26 ISSN：1071-5797
通讯作者：
Kulosman, Hamid
作者机构：
[Kulosman, Hamid; Kim, JonLark] Univ Louisville, Dept Math, Louisville, KY 40292 USA.;[Liu, Hongwei] Huazhong Normal Univ, Dept Math, Wuhan 430079, Hubei, Peoples R China.;[Dougherty, Steven T.] Univ Scranton, Dept Math, Scranton, PA 18510 USA.
通讯机构：
[Kulosman, H (reprint author)] Univ Louisville, Dept Math, Louisville, KY 40292 USA.
关键词：
Self-dual codes;Codes over rings
摘要：
We prove that self-dual codes exist over all finite commutative Frobenius rings, via their decomposition by the Chinese Remainder Theorem into local rings. We construct non-free self-dual codes under some conditions, using self-dual codes over finite fields, and we also construct free self-dual codes by lifting elements from the base finite field. We generalize the building-up construction for finite commutative Frobenius rings, showing that all self-dual codes with minimum weight greater than 2 can be obtained in this manner in cases where the construction applies. (C) 2009 Elsevier Inc. All rights reserved.
期刊：
JOURNAL OF DIFFERENTIAL EQUATIONS,2014年257(6):1721-1752 ISSN：0022-0396
通讯作者：
Huang, Jicai
作者机构：
[Huang, Jicai; Song, Jing] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.;[Ruan, Shigui] Univ Miami, Dept Math, Coral Gables, FL 33124 USA.
通讯机构：
[Huang, JC (reprint author)] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
关键词：
Predator-prey system;Holling type-III functional response;Hopf bifurcation;Bogdanov-Takens bifurcation;Degenerate focus type BT bifurcation of codim 3
摘要：
We consider a predator-prey system of Leslie type with generalized Holling type III functional response p(x) = mx(2)/ax(2)+bx+1. By allowing b to be negative (b > -2 root a), p(x) is monotonic for b > 0 and nonmonotonic for b < 0 when x >= 0. The model has two non-hyperbolic positive equilibria (one is a multiple focus of multiplicity one and the other is a cusp of codimension 2) for some values of parameters and a degenerate Bogdanov-Takens singularity (focus or center case) of codimension 3 for other values of parameters. When there exist a multiple focus of multiplicity one and a cusp of codimension 2, we show that the model exhibits subcritical Hopf bifurcation and Bogdanov-Takens bifurcation simultaneously in the corresponding small neighborhoods of the two degenerate equilibria, respectively. Different phase portraits of the model are obtained by computer numerical simulations which demonstrate that the model can have: (i) a stable limit cycle enclosing two non-hyperbolic positive equilibria; (ii) a stable limit cycle enclosing an unstable homoclinic loop; (iii) two limit cycles enclosing a hyperbolic positive equilibrium; (iv) one stable limit cycle enclosing three hyperbolic positive equilibria; or (v) the coexistence of three stable states (two stable equilibria and a stable limit cycle). When the model has a Bogdanov-Takens singularity of codimension 3, we prove that the model exhibits degenerate focus type Bogdanov-Takens bifurcation of codimension 3. These results not only demonstrate that the dynamics of this model when b > -2 root a are much more complex and far richer than the case when b > 0 but also provide new bifurcation phenomena for predator-prey systems. (C) 2014 Elsevier Inc. All rights reserved.
摘要：
In this paper, we prove a blow-up criterion in terms of the upper bound of the liquid mass for the strong solution to the two-dimensional (2D) viscous liquid-gas two-phase flow model in a smooth bounded domain. The result also applies to three-dimensional (3D) case. (C) 2010 Elsevier Inc. All rights reserved.