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Multidimensional System of Ferro-magnetic Chain Type~* 被引量:2
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作者 周毓麟 孙和生 郭柏灵 《Science China Mathematics》 SCIE 1993年第12期1422-1434,共13页
The global solvability of homogeneous boundary problem for a class of multidimensional generalized system of ferro-magnetic chain type is considered.
关键词 multidimensional SYSTEM of ferro-magnetic chain type spin SYSTEM HOMOGENEOUS boundary problem Galerkin’s method.
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Cauchy Problem for System of Ferro-Magnetic Chain Type 被引量:4
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作者 周毓麟 孙和生 郭柏灵 《Science China Mathematics》 SCIE 1993年第8期927-939,共13页
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 ... 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. 展开更多
关键词 SYSTEM of ferro-magnetic chain type spin SYSTEM CAUCHY problem method of viscosity elimination.
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具Gilbert耗散项的多变量铁磁链旋方程组解的Blow Up 被引量:1
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作者 邢家省 宋长明 《应用数学》 CSCD 北大核心 1994年第4期423-430,共8页
本文考虑具Gilbert耗散项的多变量铁磁链旋方程组 Z_t=εLZ-αZ×(Z×LZ)+βZ×LZ+f(x,Z)Z初边值问题 Z|_=0, t≥0 Z(x,0)=Z_0(x), x∈ΩR^m强解的Blow Up.这里Z(x,t)=(u(x,t),v(x,t),w(x,t)),L=sum from i,j=1 to nε>0... 本文考虑具Gilbert耗散项的多变量铁磁链旋方程组 Z_t=εLZ-αZ×(Z×LZ)+βZ×LZ+f(x,Z)Z初边值问题 Z|_=0, t≥0 Z(x,0)=Z_0(x), x∈ΩR^m强解的Blow Up.这里Z(x,t)=(u(x,t),v(x,t),w(x,t)),L=sum from i,j=1 to nε>0,α>0.采用Galerkin方法和紧致性原理证明局部强解的存在性,利用凸性方法证明强解的Blow Up性质。 展开更多
关键词 局部强解 铁磁链旋方程 BLOW-UP
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