云南高校图书馆联盟文献共享服务平台- 国家自然科学基金(10071067)

国家自然科学基金(10071067): 作品数：10被引量：11H指数：2; 导出分析报告; 相关作者：刘祖汉钱晓松郑永爱更多>>; 相关机构：扬州大学上海大学更多>>; 相关期刊：《Acta Mathematica Sinica,English Series》《扬州大学学报（自然科学版）》《Chinese Annals of Mathematics,Series B》《应用数学和力学》更多>>; 相关主题：VORTICESFLOWSUPERCONDUCTORPINNINGEQUATION更多>>; 相关领域：理学一般工业技术电气工程更多>>

Energy Estimate for the Type-Ⅱ Superconducting Film: 《Acta Mathematica Sinica,English Series》2008年第1期75-86,共12页Kwang Ik KIM Zu Han LIU; the National Natural Science Foundation of China (No.10071067,10471119,10771181);EYTP; We study the minimizers of the Ginzburg-Landau model for variable thickness, superconducting, thin films with high k, placed in an applied magnetic field hex, when hex is of the order of the ＂first critical field＂, ...; 关键词：SUPERCONDUCTIVITY Ginzburg-Landau functional free boundary problem

ESTIMATES OF LOWER CRITICAL MAGNETICFIELD AND VORTEX PINNING BY INHOMO-GENEITIES IN TYPE II SUPERCONDUCTORS被引量：1: 《Chinese Annals of Mathematics,Series B》2004年第4期493-506,共14页K.I.KIM LIUZUHAN; Project supported by the National Natural Science Foundation of China (No.10071067); the Excellent Young Teachers Program of the Ministry of Education of China, the Jiangsu Provincial National Science Foundation of China and the Combinatorial and Comput; 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...; 关键词：SUPERCONDUCTOR VORTICES Pinning mechanism Critical magnetic field

ESTIMATE OF THE UPPER CRITICAL FIELD AND CONCENTRATION FOR SUPERCONDUCTOR: 《Chinese Annals of Mathematics,Series B》2004年第2期183-198,共16页K．I．KIM LIUZUHAN; Project supported by the National Natural Science Foundation of China (No.10071067); the Excellent Young Teachers Program of the Ministry of Education of China, the Jiangsu Provincial Natural Science Foundation of China and the Combinatorial and Computa; The effect of an applied magnetic field on an inhomogeneous superconductor is studied and the value of the upper critical magnetic field Hc3 at which superconductivity can nucleate is estimated. In addition, the autho...; 关键词：SUPERCONDUCTOR Critical field NUCLEATION GINZBURG-LANDAU

LIFE SPAN OF A SMOOTH SOLUTION FOR THE SURFACE DIFFUSION FLOW: 《Chinese Annals of Mathematics,Series B》2003年第3期331-342,共12页LIU ZUHAN Department of Mathematics, Yangzhou University, Yangzhou 225002, Jiangsu, China.; Project supported by the National Natural Science Foundation of China(No.10071067)and the Jiangsu Provincial Natural Science Foundation of China.; Consider the motion of immersed hypersurfaces driven by surface diffusion flow and give anlower bound on the life span of a smooth immersed solution, which depends only on how muchthe curvature of the initial surface ...; 关键词：Surface diffusion flow Mean curvature Second fundamental form Fourth order equation

A SHOOTING METHOD FOR THE SWIFT-HOHENBERG EQUATION: 《Applied Mathematics(A Journal of Chinese Universities)》2002年第4期391-403,共13页TaoYoushan ZhangJizhou; National Natural Science Foundation of China (1 0 0 71 0 67); Stationary even single bump periodic solutions of the Swift Hohenberg equation are analyzed. The coefficient k in the equation is found to be a critical parameter. It is proved if 0; 关键词：shooting technique Swift Hohenberg equation critical point periodic solution.

一类推广的中曲率水平集的运动: 《应用数学和力学》2002年第11期1169-1176,共8页郑永爱刘祖汉; 国家自然科学基金资助项目(10071067); 　研究了根据一个光滑曲面的主曲率函数的经典运动短时存在及唯一性。; 关键词：水平集中曲率符号距离函数主曲率

Pinning of Vortices for a Variational Problem Related to the Superconductivity with Thermal Noise: 《Northeastern Mathematical Journal》2002年第3期197-208,共12页刘祖汉钱晓松; The NNSF (10071067) ; the Nature Science Foundation of Jiangsu Province, China.; This paper is concerned with the minimization problem related to the superconductivity with thermal noise. We study the asymptotic behavior of the minimizes of this problem as the parameters tending to zero and prove ...; 关键词：SUPERCONDUCTIVITY vortice pinning mechanism

DYNAMICS FOR VORTICES OF AN EVOLUTIONARY GINZBURG-LANDAU EQUATIONS IN 3 DIMENSIONS被引量：5: 《Chinese Annals of Mathematics,Series B》2002年第1期95-108,共14页LIU ZUHAN Department of Mathematics, Normal College. Yangzhou University. Yangzhou 225002, China. E-mail: zuhanl@yahoo.com; the National Natural Science Foundation of China (No. 10071067).; This paper studies the asymptotic behavior of solutions to an evolutionary Ginzburg-Landau equation in 3 dimensions. It is shown that the motion of the Ginzburg-Landau vortex curves is the flow by its curvature. Away ...; 关键词：Ginzburg- Landau Equations VORTEX Curvature flow Asymptotic behavior

ON A PERIMETER-PRESERVING PLANE CURVE FLOW被引量：5: 《Applied Mathematics(A Journal of Chinese Universities)》2001年第4期409-417,共9页Pan ShengliangDept. of Math.,East China Normal Univ.,Shanghai 200062.; Supported by the NNSF of China(1 0 0 71 0 6 7) and Shanghai City Foundation of Selected Academic Re-search; The purpose of this paper is to investigate a new type of evolution problem for closed convex plane curves which will preserves the perimeter of the curve but expands the enclosed area and the final limiting curve is ...; 关键词：Convex curve curve flow perimeter preserving.

含有“杂质”超导材料的钉扎现象: 《扬州大学学报（自然科学版）》2001年第1期7-14,共8页刘祖汉钱晓松; 国家自然科学基金!资助项目 (10 0 710 6 7); 考虑一个与含有“杂质”超导的 Ginzburg-Landau模型有关的变分问题 .研究了当参数 ε→ 0 +时极小元的渐近行为 ,并确定了涡旋 (即解的零点 )的位置 ,发现涡旋位于杂质区域内 .; 关键词：金茨堡-朗道理论渐近行为钉扎现象超导材料涡旋

国家自然科学基金(10071067)