Static Theory for Planar Ferromagnets and Antiferromagnets 被引量：8

Static Theory for Planar Ferromagnets and Antiferromagnets

导出

摘要 Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for tho planar ferromaguets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic vortices formally derived in [1] and [2]. Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for tho planar ferromaguets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic vortices formally derived in [1] and [2].

作者 Feng Bo HANG Fang Hua LIN Courant Institute, 251 Mercer Street. New York. NY 10012, USA Dept. of Math, Princeton University, Fine Hall. Washington Road, Princeton, NJ 08544 USA.

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2001年第4期541-580,共40页 数学学报（英文版）

基金 Supported by the Dean's Dissertation Fellowship Supported by a NSF grant

关键词 Ginzburg-Landau-type equations VORTICES Minimizing harmonic maps Gradient cstimate Radial solutions Stability QUANTIZATION Ginzburg-Landau-type equations Vortices Minimizing harmonic maps Gradient cstimate Radial solutions Stability Quantization

分类号 O441.6 [理学—电磁学] O242.1 [理学—计算数学]

引文网络
相关文献

参考文献10

1Pope SB.Turbulent Flows[]..2000
2Lu XY,Zhuang LX.Numerical study of natural convection in a vertical slot[].Acta Mechanica Sinica.1999
3Patton EG.Large eddy simulation of turbulent flow within and above a plant canopy[]..1997
4Gao W,et al.Observation of organized structure in turbulent flow within and above a forest canopy[].Boundary Layer Meteorology.1989
5Spalart PR.Strategies for turbulence modeling and simulation[]..1997
6Lesieu M,Metais O.New trends in large eddy simulation of turbulence[].Ann Rev Fluid Mechanics.1996
7Marion M,Temma R.Nonlinear Galerkin methods[].SIAM JNumer Anal.1989
8Moin P.Tackling turbulence with supercomputers[].Scientific American.1997
9Deardorff JW.Convective velocity and temperature scales for the unstable planetary boundary layer and for Rayleigh convection[].Journal of the Atmospheric Sciences.1970
10Zhou Y.Advances in the fundamental aspects of turbulence transfer,interacting scales and self-preservation in isotropic decay[].Applied Mechanics Reviews.1998

同被引文献7

1雷雨田.关于一类Ginzburg-Landau型泛函径向极小元的注记[J].数学研究,2004,37(3):265-271. 被引量：1
2雷雨田.具非S^1值边界条件的Ginzburg-Landau泛函的径向极小元[J].应用数学学报,2005,28(3):527-535. 被引量：2
3刘红艳,雷雨田.一类p-能量泛函径向极小元的C^(1,α)收敛性[J].南京师大学报（自然科学版）,2007,30(1):22-27. 被引量：1
4姜乐,吕小光.高维各向异性Ginzburg-Landau方程的渐近行为[J].淮海工学院学报（自然科学版）,2008,17(4):9-12. 被引量：1
5韩海燕,雷雨田.带权的Ginzburg-Landau型泛函的径向极小元唯一性研究[J].廊坊师范学院学报（自然科学版）,2011,11(5):22-23. 被引量：3
6包立平.关于各向异性的Ginzburg-Landau泛函极小元的上界估计[J].浙江大学学报（理学版）,2003,30(4):372-376. 被引量：1
7雷雨田.具变系数的Ginzburg-Landau泛函的径向极小元[J].南京师大学报（自然科学版）,2004,27(1):1-6. 被引量：4

引证文献8

1刘红艳,雷雨田.一类p-能量泛函径向极小元的C^(1,α)收敛性[J].南京师大学报（自然科学版）,2007,30(1):22-27. 被引量：1
2齐龙兴,雷雨田.关于Planar Ferromagnets and Antiferromagnets泛函的径向极小元的注记[J].南京师大学报（自然科学版）,2007,30(3):15-20.
3郑亚芹,占德胜.高维情形下铁磁与反铁磁泛函可正则化极小元的C^(1,α)收敛性[J].吉林大学学报（理学版）,2009,47(4):695-700.
4占德胜.一类Landau-Lifshitz型泛函的极小元的零点分布[J].佳木斯大学学报（自然科学版）,2011,29(2):287-289.
5占德胜.一类Landau-Lifshitz型泛函的极小元的H_（loc）~1收敛性[J].齐齐哈尔大学学报（自然科学版）,2011,27(3):90-93.
6占德胜.一类Landau-Lifshitz型泛函的极小元的渐近性态[J].江汉大学学报（自然科学版）,2012,40(2):13-15.
7王贝,蔡宇泽.Landau-Lifschitz型能量的梯度估计[J].南京师大学报（自然科学版）,2013,36(4):37-40.
8韩海燕.一类泛函的径向极小元的局部一致估计[J].淮海工学院学报（自然科学版）,2014,23(2):14-16.

二级引证文献1

1齐龙兴,雷雨田.关于Planar Ferromagnets and Antiferromagnets泛函的径向极小元的注记[J].南京师大学报（自然科学版）,2007,30(3):15-20.

1林正炎.ON MODULI OF NON-DIFFERENTIABILITY FOR A TWO-PARAMETER ORNSTEIN-UHLENBECK PRCESS[J].Acta Mathematica Scientia,1996,16(S1):85-91.
2ShiJinDING,BoLingGUO.Smooth Solution to the 1-Dimensional Spin Equations of Antiferromagnets[J].Acta Mathematica Sinica,English Series,2004,20(5):899-912. 被引量：1
3吕嵘,朱嘉麟,陈曦,张礼.Macroscopic Quantum Tunneling and Coherence of the Néel Vector in Small Antiferromagnets[J].Tsinghua Science and Technology,1998,3(4):1179-1183.
4XIAO LIMING Institute of Mathematics, Fudan University, Shanghai 200433, China,Department of Computer Science, Guangdong Normal Polytechnic, Guangzhou 510665, China..ASYMPTOTIC ANALYSIS OF DYNAMIC PROBLEMS FOR LINEARLY ELASTIC SHELLS-JUSTIFICATION OF EQUATIONS FOR DYNAMIC KOITER SHELLS[J].Chinese Annals of Mathematics,Series B,2001,22(3):267-274. 被引量：1
5REN Ji-Rong WANG Ji-Biao LI Ran XU Dong-Hui DUAN Yi-Shi.Topological Aspects of Solitons in Ferromagnets[J].Communications in Theoretical Physics,2008,50(9):777-780.
6XIAO LIMING.ASYMPTOTIC ANALYSIS OF DYNAMIC PROBLEMS FOR LINEARLY ELASTIC SHELLS--JUSTIFICATION OF EQUATIONS FOR DYNAMIC FLEXURAL SHELLS[J].Chinese Annals of Mathematics,Series B,2001,22(1):13-22. 被引量：2
7LINFang-hua SHATAHJalal.Soliton dynamics in planar ferromagnets and anti-ferromagnets[J].Journal of Zhejiang University Science,2003,4(5):503-510.
8WANG Ji-Biao REN Ji-Rong LI Ran.Skyrmion Excitations in Planar Ferromagnets[J].Communications in Theoretical Physics,2009,51(1):157-160.
9姜玲玉,张瑞.乘积空间中不动点定理的一个注记[J].西北大学学报（自然科学版）,2004,34(3):255-258.
10张石生,罗群.SET-VALUED CARISTI’S FIXED POINT THEOREM AND EEELAND’S VARIATIONAL PRINCIPLE[J].Applied Mathematics and Mechanics(English Edition),1989,10(2):119-121.

Acta Mathematica Sinica,English Series

2001年第4期

浏览历史

内容加载中请稍等...

Static Theory for Planar Ferromagnets and Antiferromagnets 被引量：8

参考文献10

同被引文献7

引证文献8

二级引证文献1

相关作者

相关机构

相关主题

浏览历史