Line Defects in the Asymptotic Analysis of A Three-dimensional Landau-de Gennes Model

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:xybcn960
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  The Landau-de Gennes model is a variational model for nematic liquid crystals which shares similarities with the Ginzburg-Landau theory.In this talk,we consider the asymptotic behavior of minimizers in three-dimensional domains,as the elastic constant tends to zero.If the energy blows up at most logarithmically,then there exists a closed set S of dimension one(a line defect),such that minimizers locally converge to a harmonic map,away from S.
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