| 具Gilbert耗散项的多变量铁磁链旋方程组解的Blow Up |
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| 引用本文： | 邢家省,宋长明.具Gilbert耗散项的多变量铁磁链旋方程组解的Blow Up[J].应用数学,1994,7(4):423-430. |
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| 作者姓名： | 邢家省 宋长明 |
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| 作者单位： | 郑州大学数学研究所 450052
(邢家省)，郑州纺织工学院 450007(宋长明) |
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| 摘 要： | 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。
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| 关 键 词： | 局部强解 铁磁链旋方程 Blow－up |
Blow Up of the Solution of the System of Multidimensional Ferro-Magnetic Chain Spin Equations with Gilbert Damping Term |
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| Xing Jiasheng.Blow Up of the Solution of the System of Multidimensional Ferro-Magnetic Chain Spin Equations with Gilbert Damping Term[J].Mathematica Applicata,1994,7(4):423-430. |
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| Authors: | Xing Jiasheng |
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| Abstract: | In this paper is considered the blow up of the strong solution on the initial boundary problem of the system of multidimensional ferro-magnetic chain spin equations with Gilbert clamping term
where
Firstly the Galerkin method is applied to the proof of existence of the local strong solution ,and secondly, the blow up of strong solution is proved by means of the convexity method. |
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| Keywords: | Local strong solutions Multidimensional ferro-magnetic chain spin system Blow Up |
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