GLOBAL EXISTENCE OF THE SOLUTION FOR THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN

被引：0

作者：

郭柏灵

王碧祥

机构：

来源：

Acta Mathematica Scientia | 1997年 / 04期

关键词：

Existence and uniqueness; local solution; global solution; Landau-Lifshitz equation;

D O I：

暂无

中图分类号：

O411 [物理学的数学方法];

学科分类号：

0701 ;

摘要：

In this paper, we establish the global existence of the solution for the Landau-Lifshitz equation of the ferromagnetic spin chain. By Galerkin method, we first show the existence of the local solution for this equation, and then by a priori estimates method, we extend the local solution to a global solution.

引用

页码：429 / 436

页数：8

共 7 条

[1]

Soliton and wave trains in ferromagnets. Nakamura K,Sasada T. Physics Letters A . 1974

[2]

Soliton in the continuous Heisenberg chain. Tjon J,Wrigh J. Physical Review B Condensed Matter and Materials Physics . 1977

[3]

Navier-Stokes Equation, Theory and Numerical Analysis. Temam R. . 1984

[4]

Existence of weak solution for boundary problem of ferromagnetic chain. Zhou Y,Guo B. Scientia Sinica . 1984

[5]

The weak solutions of homogeneous boundary value problem for the system of ferromagnetic chain with several vdriables. Zhou Y,Guo B. Scientia Sinica . 1986

[6]

Perturbation of solutions in the classical continuun isotropic Heisenberg spin system. Daniel M,Lakshmanan M. Physica A Statistical Mechanics and its Applications . 1983

[7]

Landau-Lifshitz equation of ferromagnetism: exact treatment of the Gilbert damping. Lakshmanan M,Nakamura K. Physical Review Letters . 1984

← 1 →