Homogenization of Harmonic Vector Fields on Riemannian Manifolds with Complicated Microstructure
Homogenization of Harmonic Vector Fields on Riemannian Manifolds with Complicated Microstructure
复制标题
复杂微结构黎曼流形上谐波矢量场的均匀化
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
E. Khruslov
中科院分区：
文献类型：
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作者：
L. Boutet de Monvel;E. Khruslov
在由一个或多个欧几里得空间副本组成的特殊流形上，利用细管（虫洞）方法，研究了具有给定通量或周期的调和矢量场在洞数趋于无穷时的渐近行为。我们得到了描述渐近前项的齐次方程。
We study the asymptotic behaviour of harmonic vector fields with givenfluxes or periods on special manifolds consisting of one or several copiesof the Euclidean space, with a large number of small holes attached edge toedge by means of thin tubes (wormholes) when the number of holes tends toinfinity. We obtain the homogenized equations describing the leading term ofthe asymptotics.