Cauchy Problem for System of Ferro-Magnetic Chain Type 被引量：4

Cauchy Problem for System of Ferro-Magnetic Chain Type

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摘要 In this paper, we have established the existence theorem of the weak solution of theboundary problems for systems of ferro-magnetic chain ty means of the viscosity eliminatingmethod and the Leray-Schauder fixed point argument. In this paper the global solvability of Cauchy problem for a generalized system of ferro-magnetic chain type is considered, and the asymptotic properties of solution when t→∞ are also considered.

作者周毓麟孙和生郭柏灵

机构地区 Centre for Nonlinear Studies

出处《Science China Mathematics》 SCIE 1993年第8期927-939,共13页 中国科学：数学（英文版）

基金 Project supported by the National Natural, Science Foundation of China and CAEP.

关键词 SYSTEM of ferro-magnetic chain type SPIN SYSTEM CAUCHY problem method of viscosity elimination. system of ferro-magnetic chain type, spin system, Cauchy problem, method of viscosity elimination.

分类号 N [自然科学总论]

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1周毓麟,郭柏灵,谭绍滨.EXISTENCE AND UNIQUENESS OF SMOOTH SOLUTION FOR SYSTEM OF FERROMAGNETIC CHAIN[J].Science China Mathematics,1991,34(3):257-266. 被引量：22
2H. BEIRaO DA VEIGA (Department of Mathematics, Pisa University, Pisa, Italy).A NEW REGULARITY CLASS FOR THE NAVIER-STOKES EQUATIONS IN IR^n[J].Chinese Annals of Mathematics,Series B,1995,16(4):407-412. 被引量：39
3周毓麟,郭柏灵.WEAK SOLUTION OF SYSTEM OF FERRO-MAGNETIC CHAIN WITH SEVERAL VARIABLES[J]Science in China,Ser.A,1987(12).
4Martin Ondrejat.Brownian Representations of Cylindrical Local Martingales, Martingale Problem and Strong Markov Property of Weak Solutions of SPDEs in Banach Spaces[J]. Czechoslovak Mathematical Journal . 2005 (4)
5R. V. Kohn,M. G. Reznikoff,E. Vanden-Eijnden.Magnetic Elements at Finite Temperature and Large Deviation Theory[J]. Journal of Nonlinear Science . 2005 (4)
6Franco Flandoli,Dariusz Gatarek.Martingale and stationary solutions for stochastic Navier-Stokes equations[J]. Probability Theory and Related Fields . 1995 (3)
7Boling Guo,Min-Chun Hong.The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps[J]. Calculus of Variations and Partial Differential Equations . 1993 (3)
8P. L. Sulem,C. Sulem,C. Bardos.On the continuous limit for a system of classical spins[J]. Communications in Mathematical Physics . 1986 (3)
9Garcia-Palacios L,,Lazaro F J.Langevin-dynamics study of the dynamical properties of small magnetic particles. Physical Review B Condensed Matter and Materials Physics . 1998
10Guo B,Ding S.Landau-Lifshitz Equations(Frontiers of Research with the Chinese Academy of Sciences). . 2008

引证文献4

1PU XueKe 1, & GUO BoLing 2 1 College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China,2 Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China.Regular solutions for multiplicative stochastic Landau-Lifshitz-Gilbert equation and blow-up phenomena[J].Science China Mathematics,2010,53(12):3115-3130.
2FAN JiShan1 & GUO BoLing2 1 College of Information Science and Technology, Nanjing Forestry University, Nanjing 210037, China 2 Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China.Regularity criterion to some liquid crystal models and the Landau-Lifshitz equations in R^3[J].Science China Mathematics,2008,51(10):1787-1797. 被引量：1
3郭柏灵,丁时进.Initial-boundary value problem for the Landau-Lifshitz system (Ⅰ) ——Existence and partial regularity[J].Progress in Natural Science:Materials International,1998,8(1):12-24.
4丁时进,郭柏灵.Partial Regularity for Higher Dimensional Landau-Lifshitz Systems[J].数学进展,2003,32(3):371-374. 被引量：1

二级引证文献2

1FAN JiShan1 & GUO BoLing2 1 College of Information Science and Technology, Nanjing Forestry University, Nanjing 210037, China 2 Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China.Regularity criterion to some liquid crystal models and the Landau-Lifshitz equations in R^3[J].Science China Mathematics,2008,51(10):1787-1797. 被引量：1
2Xiaoli CHEN,Xiujuan ZHA.A Refined Regularity Criterion for 3D Liquid Crystal Equations Involving Horizontal Velocity[J].Journal of Mathematical Research with Applications,2021,41(6):607-614.

1周毓麟,孙和生,郭柏灵.Multidimensional System of Ferro-magnetic Chain Type~*[J].Science China Mathematics,1993,36(12):1422-1434. 被引量：2
2ZHAO Junning & ZHAN Huashui Department of Mathematics, Xiamen University, Xiamen 361005, China School of Science, Jimei University, Xiamen 361000, China.Uniqueness and stability of solution for Cauchy problem of degenerate quasilinear parabolic equations[J].Science China Mathematics,2005,48(5):583-593. 被引量：6
3陆云光.ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF INITIAL PROBLEM TO SYSTEMS OF GAS DYNAMICS WITH VISCOUS TERM[J].Chinese Science Bulletin,1989,34(1):7-11.
4陆云光.THE EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO GAS DYNAMICS SYSTEMS WITH VISCOSITY ε≠μ[J].Chinese Science Bulletin,1990,35(9):785-786.
5丁勇.STUDY ON PLASMA CONCENTRATION OF DRUGS IN STEADY-STATE FOR INTRAVENOUS INJECTION IN MICHAELIS-MENTEN ELIMINATION KINETICS[J].Chinese Science Bulletin,1991,36(5):438-439.
6王明新.Life Span of Solution to Cauchy Problem for a Semilinear Heat Equation[J].Chinese Science Bulletin,1993,38(18):1497-1502.
7丁勇.QUASILINEAR MODEL IN PHARMACOKINETICS[J].Chinese Science Bulletin,1991,36(20):1746-1750.
8雷光耀.ON COMPUTING APPROXIMATE INVERSES FOR SPARSE MATRICES OF STRONG PIVOT[J].Chinese Science Bulletin,1992,37(2):100-104.
9杨建国,朱辉,李蓓智.ON CURVED SURFACE APPROXIMATION AND HIDDEN SURFACE ELIMINATION IN 3-D COMPUTER AIDED GARMENT DESIGN[J].Journal of China Textile University(English Edition),1990,8(1):7-11.
10吴雅萍,叶其孝.Existence and Attractivity of Stationary Solutions of a Degenerate Parabolic Equation[J].Chinese Science Bulletin,1993,38(10):805-807.

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1993年第8期

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Cauchy Problem for System of Ferro-Magnetic Chain Type 被引量：4

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