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Incompressible Limit of a Compressible Liquid Crystals System

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arxiv 1201.5942 v3 pith:B27ZTHXJ submitted 2012-01-28 math.AP

classification math.AP
keywords mathbbcompressiblecrystalsincompressiblelimitliquidsystemarticle
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abstract

This article is devoted to the study of the so-called incompressible limit for solutions of the compressible liquid crystals system. We consider the problem in the whole space $\mathbb{R}^{\mathbb{N}}$ and a bounded domain of $\mathbb{R}^{\mathbb{N}}$ with Dirichlet boundary conditions. Here the number of dimension $\mathbb{N}=2$ or 3.

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