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Extremal problems on the Hua domain of the first type

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Science china mathematics 2005年第Z1期48卷 343-354页

作者： SU Jianbing & YIN Weiping mathematics department, xuzhou normal university, xuzhou 221116, china mathematics department, Capital normal university, Beijing 100037, china mathematics department Xuzhou Normal University Xuzhou China mathematics department Capital Normal University Beijing China

In this paper we study some extremal problems between the Hua domain of the first type and the unit ball.

关键词： extremal problem, Hua domain of the first type, minimal circumscribed Hermitian ellipsoid.

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Science china mathematics 2004年第5期47卷 659-674页

作者： SHI Peihu & WANG Mingxindepartment of mathematics, Southeast university, Nanjing 210018, china department of mathematics, xuzhou normal university, xuzhou 221116, china department of mathematics Southeast University Nanjing China department of mathematics Xuzhou Normal University Xuzhou China

This paper is devoted to study the classification of self-similar solutions to the quasilinear parabolic equations with nonlinear gradient termsu t = Δ(u m) - uq∣Δu∣ p withm ≥ 1,p,q > 0 andp +q >m. Form = 1, it is shown that the very singular self-similar solution exists if and only ifnq + (n +1)p 1, it is shown that very singular self-similar solutions exist if and only if 1

关键词： quasilinear parabolic equations, self-similar solutions, very singular solution, classification.

Uniform blow-up profiles and boundary layer for a parabolic system with localized nonlinear reaction terms

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Science china mathematics 2005年第2期48卷 185-197页

作者： LI Huiling & WANG Mingxin department of mathematics, Southeast university, Nanjing 210018, china department of mathematics, xuzhou normal university, xuzhou 221116, china department of mathematics Southeast University Nanjing China department of mathematics Xuzhou Normal University Xuzhou China

This paper deals with the blow-up properties of the solution to a semilinear parabolic system with localized nonlinear reaction terms, subject to the null Dirichlet boundary condition. We first give sufficient conditions for that the classical solution blows up in the finite time, secondly give necessary conditions and a sufficient condition for that two components blow up simultaneously, and then obtain the uniform blow-up profiles in the interior. Finally we describe the asymptotic behavior of the blow-up solution in the boundary layer.

关键词： parabolic system, localized nonlinear reaction terms, blow-up profiles, boundary layer size.

Global existence and blow-up of solutions to a parabolic system with nonlocal sources and boundaries

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Science china mathematics 2007年第9期50卷 1251-1266页

作者： Ling-hua KONG~(1+) Ming-xin WANG~(2,3) 1 department of Applied mathematics,Dalian university of Technology,Dalian 116024,china 2 department of mathematics,Southeast university,Nanjing 210018,china 3 department of mathematics,xuzhou normal university,xuzhou 221116,china department of Applied mathematics Dalian University of Technology Dalian China department of mathematics Southeast University Nanjing China department of mathematics Xuzhou Normal University Xuzhou China

This paper deals with a semi-linear parabolic system with nonlinear nonlocal sources and nonlocal boundaries. By using super-and sub-solution techniques, we first give the sufficient conditions that the classical solution exists globally and blows up in a finite time respectively, and then give the necessary and sufficient conditions that two components u and ν blow up simultaneously. Finally, the uniform blow-up profiles in the interior are presented.

关键词： parabolic system nonlocal sources nonlocal boundary conditions blow-up set simultaneous blow-up uniform blow-up profile 35K15 35K65

ERGODICITY OF LINEAR SPDE DRIVEN BY LVY NOISE

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Journal of Systems Science & Complexity 2010年第1期23卷 137-152页

作者： Zhao DONG Yingchao XIE Institute of Applied mathematics Academy of Mathematics and Systems Sciences Chinese Academy of Sciences Beijing 100190 China department of mathematics Xuzhou Normal University Xuzhou 221116 China.

This paper discusses the ergodicity of a linear stochastic partial differential equation driven by Levy noise.

关键词： Ergodicity invariant measure L^vy noise linear SPDE.

ESTIMATES OF LOWER CRITICAL MAGNETICFIELD AND VORTEX PINNING BY INHOMO-GENEITIES IN TYPE II SUPERCONDUCTORS

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Chinese Annals of mathematics,Series B 2004年第4期25卷 493-506页

作者： K.I.KIM LIUZUHAN departmentofmathematics PohangUniversityofScienceandTechnologyPohang790-784Korea. departmentofmathematics XuzhouNormalUniversityXuzhou221116JiangsuChina.

The effect of an applied magnetic field on an inhomogeneous superconductor is studied and the value of the lower critical magnetic field HC1 at which superconducting vortices appear is estimated. In addition, the auth... 详细信息

关键词： Superconductor Vortices Pinning mechanism Critical magnetic field

ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

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Acta Mathematica Scientia 2011年第1期31卷 22-28页

作者：郭文彬唐娜李保军 department of mathematics University of Science and Technology of China department of mathematics Xuzhou Normal University department of mathematics Huaiyin Teachers College School of mathematics Chengdu University of Information Technology

A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F（G）, where Z∞F（G） is the F-hypercenter of G. We obtain some results about the F-z-suppl... 详细信息

关键词： Finite groups local formations F-z-supplemented subgroups supersoluble groups p-nilpotent groups

Bergman kernels on generalized Hua domains

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Progress in Natural Science:Materials International 2002年第12期12卷 15-21页

作者： YIN Weiping and SU Jianbing(1. department of mathematics, Capital normal university, Beijing 100037, china 2. department of mathematics, xuzhou normal university, xuzhou 221116, china) department of mathematics，Capital normal university，Beijing 100037，china department of mathematics，Capital normal university，Beijing 100037，china department of mathematics，xuzhou normal university，xuzhou 221116，china

The Bergman kernel functions with explicit formulas of the generalized Hua domains are obtained. And the holomorphic automorphism group for each generalized Hua domain is also given.

关键词： generalized Hua domain Bergman kernels holomorphic automorphism group.

Busemann functions on （?）RI（m,n）and（?）IV（n）

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Progress in Natural Science:Materials International 2003年第3期 15-20页

作者： LI Qingzhong , SU Jianbing and JIANG Xiaofa (1. department of mathematics, Capital normal university, Beijing 100037, china 2. department of mathematics, xuzhou normal university, xuzhou 221116, china)

The Busemann function plays a very important role in studying topology and geometry of a complete Riemannian mani-fold. In this paper, the Busemann functions on the real classical domain of the first type and the Cart... 详细信息

关键词： Bnsemann function geodesic ray Cartan doroain of the fourth type.