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50CrMoA钢界限应力强度因子幅度ΔKth的测定分析

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铁道学报 1999年第4期21卷 80-82页

作者：刘庆潭长沙铁道学院数力系

对铁路内燃机曲轴材料５０ＣｒＭｏＡ的ΔＫｔｈ值进行测定分析，得到的结果为构件设计提供了一定的依据。

关键词：应力强度因子裂纹内燃机车曲轴 50CrMoA钢

On Representations Associated with Completely n-Positive Linear Maps on Pro-C^＊-Algebras

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Chinese Annals of math.matics,Series B 2008年第1期29卷 55-64页

作者： Maria JOITA department of math.matics Faculty of Chemistry University of Bucharest

It is shown that an n × n matrix of continuous linear maps from a pro-C^＊-algebra A to L（H）, which verifies the condition of complete positivity, is of the form [V^＊TijФ（·）V]^n i,where Ф is a representation of A on a Hilbert space K, V is a bounded linear operator from H to K, and j=1,[Tij]^n i,j=1 is a positive element in the C^＊-algebra of all n×n matrices over the commutant of Ф（A） in L（K）. This generalizes a result of C. *** in Proc. Amer. math. Soc., 112（3）, 1991, 709-712. Also, a covariant version of this construction is given.

关键词： Pro-C^*-Algebra Completely n-positive linear maps Covariant completely n-positive linear maps

Fuzzy Syntactic Congruence and Rational Fuzzy Languages

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Systems Science and Systems Engineering 2002年第4期11卷 393-396页

作者： SHU Lan1, PENG Jia-yin21.Dept. of Applied math., university of Electronic Science and Technology of China, Chengdu 610054, China2.department of math.matics, Neijiang Teacher′s College, Sichuan Neijiang 614002, China Dept. of Applied math. University of Electronic Science and Technology of China Chengdu 610054 China department of math.matics Neijiang Teacher's College Sichuan Neijiang 614002 China

In this paper the notion of rational fuzzy language is introduced, and a theorem is obtained: a fuzzy subset of Σ* is recognizable if and only if it′s rational. The result connects the rational fuzzy language wi... 详细信息

关键词： fuzzy finite-state automaton fuzzy rational language recognizable

Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations

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Science China math.matics 2013年第11期56卷 2205-2232页

作者： ZHANG YingHui PAN RongHua TAN Zhong panrh@math.gatech.edu, ztan85@*** department of math.matics Hunan Institute of Science and Technology Yueyang 414006 China School of math.matics and Statistics Central China Normal University Wuhan 430079 China School of math.matics Georgia Institute of Technology Atlanta GA 30332 USA School of mathematical Sciences Xiamen University Xiamen 361005 China

We investigate the zero dissipation limit problem of the one-dimensional compressible 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 to the Navier-Stokes equations exists for all time, and converges to the Riemann solution to the corresponding Euler equations with the same Riemann initial data uniformly on the set away from the shocks, as the viscosity vanishes. In contrast to previous related works, where either the composite wave is absent or the effects of initial layers are ignored, this gives the first mathematical justification of this limit for the compressible isentropic Navier-Stokes equations in the presence of both composite wave and initial layers. Our method of proof consists of a scaling argument, the construction of the approximate solution and delicate energy estimates.

关键词： zero dissipation limit compressible Navier-Stokes equations shock waves initial layers

Finite Dimensional Behavior of Global Attractors for Weakly Damping Ginzburg-Landau Equations Coupling with BBM Equations

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Communications in Nonlinear Science and Numerical Simulation 1998年第1期3卷 10-14页

作者： Boling GUO * and Murong JIANG + *(Institute of Applied Physics and Computational math.matics,Beijing,100088,China) +(department of math.matics,Yunnan university,Kunming 650091,China) E mail:guobl@*** Inst. Appl. Phys. and Compl. math. Beijing 100088 China department of math.matics Yunnan University Kunming 650091 China

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ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒｗｅａｒｅｃｏｎｃｅｒｎｅｄｗｉｔｈｔｈｅｌｏｎｇｔｉｍｅｂｅｈａｖｉｏｒｏｆｓｏｌｕｔｉｏｎｓｏｆｔｈｅｆｏｌｏｗｉｎｇｐｅｒｉｏｄｉｃｉｎｉｔｉａｌｖａｌｕｅｐｒｏｂｌｅｍｆｏｒｔｈｅｓｙｓｔｅｍｏ...

关键词： dimension attractor Ginzburg Landau equation couped BBM equationIntroduction

ON OSCILLATING KERNELS IN THE BESOV SPACE

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Analysis in Theory and Applications 1998年第4期14卷 32-45页

作者： Dashan Fan, university of Wisconsin-Milwaukee, usa Dachun Yang, Beijing Normal university, China 1. department of mathematical Sciences University of Wisconsin-Milwaukee 53201 Milwaukee Wisconsin USA 2. department of math.matics Beijing Normal University 100875 Beijing The People's Republic of China

In this paper we consider a convolution operator Tf=p.v.Ω*f with Ω(x)=K(x)×e^((r))λ >*** K(x)is a weak Calderon-Zygmund kernel and h(x)is a real-valued differentiable function. We give a boundedness criterion for ... 详细信息

关键词： math ON OSCILLATING KERNELS IN THE BESOV SPACE

STREAMLINE DIFFUSION F.E.M. FOR SOBOLEV EQUATIONS WITH CONVECTION DOMINATED TERM

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Applied math.matics(A Journal of Chinese Universities) 2001年第1期16卷 63-71页

作者： Sun Tongjun Now address:department of math.matics and Physics, South Campus of Shandong university, Jinan 250061.Dept. of math., South Campus of Shandong Univ.,Jinan 250061. department of math.matics and Physics South Campus of Shandong University Jinan

In this paper,a streamline diffusion F.E.M. for linear Sobolev equations with convection dominated term is *** to the range of space time F.E mesh parameter h ,two choices for artifical diffusion parameter δ are presented,and for the corresponding computation schemes the stability and error estimates in suitable norms are estabilished.

关键词： Streamline diffusion sobolev equations convection dominated term.

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一类弹性梁方程的正解存在性与多解性

山东大学学报（理学版） 2004年第5期39卷 64-67,72页

作者：姚庆六南京财经大学应用数学系江苏南京210046

通过选择合适的锥并利用锥拉伸与锥压缩型的Krasnosel’sii不动点定理考察了一类一端简单支撑 ,另一端被滑动夹子夹住的四阶弹性梁方程的n个正解的存在性 .这里n是一个任意的自然数 .结论的主要条件是局部的 .换言之 ,如果非线性项在某... 详细信息

通过选择合适的锥并利用锥拉伸与锥压缩型的Krasnosel’sii不动点定理考察了一类一端简单支撑 ,另一端被滑动夹子夹住的四阶弹性梁方程的n个正解的存在性 .这里n是一个任意的自然数 .结论的主要条件是局部的 .换言之 ,如果非线性项在某些有界集上的“高度”是适当的。

关键词：非线性弹性梁方程非线性边值问题正解存在性多解性

EXPONENTIAL STABILITY OF DISCRETE-TIME CELLULAR NEURAL NETWORKS WITH DELAYS

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Annals of Differential Equations 2006年第3期22卷 388-393页

作者： Xia Fei Li Xuemei (Dept. of math., Hunan Normal university, Changsha 410081)

In this paper, a new sufficient condition for the global exponential stability of a unique equilibrium point of discrete-time cellular neural networks is given. It is shown that the condition relies on the feedback matrices and is independent of the delay parameter. Furthermore, this condition is less restrictive than those given in the literature.

关键词： discrete-time cellular neural networks global exponential stability delays Lyapunov functionals