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Existence of the classical solution and almost periodic solution for the Camassa-Holm type equations

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Progress in Natural Science:Materials International 2004年第4期 17-22页

作者： YANG Ling'e and GUO Boling (1. Department of mathematics, Foshan University, Foshan 52.000, China 2. Graduate School, China Academy of Engineering physics, Bejing 100088, China 3.{2. of applied physics and computational mathematics, beijing 100088, China) Departmentofmathematics FoshanUniversityFoshan528000China instituteofapplied{2.andcomputationalmathematics Beijing100088China

Using Banach fixed point theorem and a priori estimate, the existence of periodic and almost periodic solutions of Ca-massa-Holm type equation with a nonlinear boundary condition are respectively proved when g (x, t) ... 详细信息

关键词： Camassa-Holm equation almost periodic solution existence.

BRST quantization and canonical Ward identity of the supersymmetric electromagnetic interaction system

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Science China(physics,Mechanics & Astronomy) 2007年第3期50卷 339-347页

作者： HUANG YongChang1,3,4, JIANG YunGuo1 & LI XinGuo2.3 1 institute of Theoretical physics, College of{2. Sciences, beijing University of Technology, beijing 10002., China 2.institute of Modern physics, Chinese Academy of Sciences, Lanzhou 730000, China 3 Center of Theoretical Nuclear physics, National Laboratory of Heavy Ion Collisions, Chinese Academy of Sciences, Lanzhou 730000, China 4 China Center of Advanced Science and Technology (World Laboratory), beijing 100080, China institute of Theoretical physics College of Applied Sciences Beijing University of Technology Beijing China Center of Theoretical Nuclear physics National Laboratory of Heavy Ion Collisions Chinese Academy of Sciences Lanzhou China China Center of Advanced Science and Technology (World Laboratory) Beijing China institute of Modern physics Chinese Academy of Sciences Lanzhou China

According to the method of path integral quantization for the canonical constrained system in Becchi-Rouet-Stora-Tyutin scheme, the supersymmetric electromagnetic interaction system was quantized. Both the Hamiltonian of the supersymmetric electromagnetic interaction system in phase space and the quantization procedure were simplified. The BRST generator was constructed, and the BRST transforma- tions of supersymmetric fields were gotten; the effective action was calculated, and the generating functional for the Green function was achieved; also, the gauge generator was constructed, and the gauge transformation of the system was ob- tained. Finally, the Ward-Takahashi identities based on the canonical Noether theorem were calculated, and two relations between proper vertices and propaga- tors were obtained.

关键词： supersymmetric electromagnetic interaction BRST quantization Ward identity

SPACE MATERIALS SCIENCE

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空间科学学报 1998年第S1期18卷 104-111页

作者： CHEN Wan-chun Wei B.(institute of physics, The Chinese Academy of Sciences,{2.)(Department of applied physics in Northwestern Polytechnical Univerity)

The main studying activities and results on space materials science during 1996-1997 in China were summarized. The typical research subjects are crystal growth from melt, crystal growth from solution, nucleation, undercooling,solidification of alloys and space experimental hardware. They are carried out by the ground-based studies, the short duration microgravity missions and orbital experiments.

关键词： Space materials science Crystal growth Solidification Microgravity

A study of two-dimensional magnetic polaron

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Science China(physics,Mechanics & Astronomy) 2006年第4期49卷 421-429页

作者： LIU Tao1, ZHANG Huaihong1, FENG Mang1,2.& WANG Kelin1,3 1. School of Science, Southwest University of Science and Technology, Mianyang 62.010, China 2. Wuhan institute of physics and{2., Chinese Academy of Sciences, Wuhan 430070, China 3. Department of Modern physics, University of Science and Technology of China, Hefei 2.002., China School of Science Southwest University of Science and Technology Mianyang China Wuhan institute of physics and{2. Chinese Academy of Sciences Wuhan China Department of Modern physics University of Science and Technology of China Hefei China

By using the variational method and anneal simulation, we study in this paper the self-trapped magnetic polaron (STMP) in two-dimensional anti-ferromagnetic material and the bound magnetic polaron (BMP) in ferromagnetic material. Schwinger angular momentum theory is applied to changing the problem into a coupling problem of carriers and two types of Bosons. Our calculation shows that there are single-peak and multi-peak structures in the two-dimensional STMP. For the ferromagnetic material, the properties of the two-dimensional BMP are almost the same as that in one-dimensional case; but for the anti-ferromagnetic material, the two-dimensional STMP structure is much richer than the one-dimensional case.

关键词： self-trapped magnetic polaron, bound magnetic polaron, impurity potential, anti-ferromagnet.

Partial Regularity for Two Dimensional Landau-Lifshitz Equations

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Acta Mathematica Sinica,English Series 1998年第3期14卷 423-432页

作者： Chen Yunmei Ding Shijin Guo Doling Department of mathematics, University of Florida, Gainesville, FL32.11, U.S.A. institute of{2. physics and computational mathematics, P. O. Box 8009, beijing, 100088, China Department of mathematics University of Florida Gainesville USA institute of applied{2. and computational mathematics Beijing China

It is proved that any weak solution to the initial value problem of two dimensional Landau-Lifshitz equation is unique and is smooth with the exception of at most finitely many points, provided that the weak solution ... 详细信息

关键词： Landau-Lifshitz equation Nonlinear parabolic equations Uniqueness Regularity Hodge decomposition

Homoclinic orbits for a perturbed quintic-cubic nonlinear Schrdinger equation

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Communications in Nonlinear Science and Numerical Simulation 2001年第4期 227-230页

作者： Boling GUO and Hanlin CHEN institute of applied{2. and computational mathematics, beijing 100088, China Mianyang Normal College, Mianyang 62.000, China

The existence of homoclinic orbits for a perturbed cubic-quintic nonlinear Schr?dinger equation with even periodic boundary conditions under the generalized parameters conditions is established. We combined geometric singular perturbation theory, Melnikov analysis, and integrable theory to prove the persistence of homocliuic orbits.

关键词： perturbation homoclinic orbits invariant manifold persistence

A NEWTON MULTIGRID METHOD FOR QUASILINEAR PARABOLIC EQUATIONS

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Journal of Systems Science & Complexity 2005年第4期18卷 429-438页

作者： YU Xijun Laboratory of computational physics Institute of Applied Physics and Computational Mathematics P.O. Box 8009~26 Beijing 100088 China.

A combination of the classical Newton Method and the multigrid method, i.e., a Newton multigrid method is given for solving quasilinear parabolic equations discretized by finite elements. The convergence of the algorithm is obtained for only one step Newton iteration per level. The asymptotically computational cost for quasilinear parabolic problems is O（NNk） similar to multigrid method for linear parabolic problems.

关键词： Quasilinear parabolic equation finite element discretization Newton multi-grid method convergence analysis.

SrGa_2._4∶Ce blue TFEL in new structure

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Chinese Science Bulletin 1998年第7期43卷 603-605页

作者： XU Chunxiang+1, LOU Zhidong+2. XU Zheng+3 and XU Xurong+31. National Laboratory of Molecular and Biomolecular Electronics, Southeast University, Nanjing 2.0096, China 2. Department of applied physics, Tianjin University, Tianjin 300031, China 3. Institu National Laboratory of Molecular and Biomolecular Electronics Southeast University Nanjina China Department of applied physics Tianjin University Tianjin China institute of Photoelectronic Technology Northern Jiaotong University Beijing China

SrGa-2.-4∶Ce blue TFEL device with a novel structure was prepared by electron beam evaporation. The dielectric constant of insulator layer in this structure is far less than that in the conventional structure, so the hot-electrons can be accelerated in SiO-2.layers. The stable TFEL with good chromaticity was achieved and the basic characteristics were investigated.

关键词： SrGa-2.-4∶Ce bule TFEL low dielectric constant insulator layer.

Well-posedness of Cauchy problems for Korteweg-de Vries-Benjamin-Ono equation and Hirota equation

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Progress in Natural Science:Materials International 2004年第6期 10-14页

作者： HUO Zhaohui 1 and GUO Boling 2.(1. Graduate School,China Academy of Engineering physics,P.O. Box 2.01,beijing 100088,China {2., P.O. Box 8009,beijing 100088,China) Graduate School China Academy of Engineering Physics P.O. Box 2101 Beijing 100088 China institute of applied{2. and computational mathematics P.O. Box 8009 Beijing 100088 China

The well-posedness of the Cauchy problems to the Korteweg-de Vries-Benjamin-Ono equation and Hirota equation is considered. For the Korteweg-de Vries-Benjamin-Ono equation,local result is established for data in H s(R)s≥-18 . Moreover,the global well-posedness for data in L 2.R) can be obtained. For Hirota equation,local result is established for initial data in H ss≥14 . In addition,the local solution is proved to be global in H s(s≥1) if the initial data are in H s(s≥1) by energy inequality and the generalization of the trilinear estimates associated with the Fourier restriction norm method.

关键词： Korteweg-de Vries-Benjamin-Ono equation Hirota equation the Fourier restriction norm low regularity data.