数学物理学报(英文版) ›› 1987, Vol. 7 ›› Issue (2): 121-132.

• 论文 •    下一篇

SOME BOUNDARY PROBLEMS OF THE SPIN SYSTEMS AND THE SYSTEMS OF FERRO-MAGNETIC CHAIN Ⅱ. Mixed Problems and Others

周毓麟1, 郭柏灵2   

  1. 1. Institute Applied Physics and Computational Mathematics, Beijing, China;
    2. Beijing University
  • 收稿日期:1984-07-14 出版日期:1987-06-25 发布日期:1987-06-25

SOME BOUNDARY PROBLEMS OF THE SPIN SYSTEMS AND THE SYSTEMS OF FERRO-MAGNETIC CHAIN Ⅱ. Mixed Problems and Others

Zhou Yulin1, Guo Boling2   

  1. 1. Institute Applied Physics and Computational Mathematics, Beijing, China;
    2. Beijing University
  • Received:1984-07-14 Online:1987-06-25 Published:1987-06-25

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摘要： In the present paper the authors considered the mixed problem with nonlinear boundary conditions
Zx(0,y)=gard ψ0(t,Z(0,t)),
Z(l,t)=0
and the initial condition
Zt=Z×Zxx+f(x,t,Z)
for the spin system
Zt=εZxx+Z×Zxx+f(x,t,Z)
and the system Zt=Z×Zxx+f(x,t,Z)
of ferro-magnetic chain in the rectangular domain Qt.

Abstract: In the present paper the authors considered the mixed problem with nonlinear boundary conditions
Zx(0,y)=gard ψ0(t,Z(0,t)),
Z(l,t)=0
and the initial condition
Zt=Z×Zxx+f(x,t,Z)
for the spin system
Zt=εZxx+Z×Zxx+f(x,t,Z)
and the system Zt=Z×Zxx+f(x,t,Z)
of ferro-magnetic chain in the rectangular domain Qt.

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