Incompressible Limit for the Compressible Flow of Liquid Crystals |
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| Authors: | Dehua Wang Cheng Yu |
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| Institution: | 1. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA
2. Department of Mathematics, University of Texas, Austin, TX, 78712, USA
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| Abstract: | The connection between the compressible flow of liquid crystals with low Mach number and the incompressible flow of liquid crystals is studied in a bounded domain. In particular, the convergence of weak solutions of the compressible flow of liquid crystals to the weak solutions of the incompressible flow of liquid crystals is proved when the Mach number approaches zero; that is, the incompressible limit is justified for weak solutions in a bounded domain. |
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