THE HYDRODYNAMIC FLOW OF NEMATIC LIQUID CRYSTALS IN R<sup>3</sup>
This manuscript demonstrates the well-posedness (existence, uniqueness, and regularity of solutions) of the Cauchy problem for simplified equations of nematic liquid crystal hydrodynamic flow in three dimensions for initial data that is uniformly locally L3(R3) integrable (L3U(R3)). The equations ex...
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Format: | Others |
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UKnowledge
2012
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Online Access: | http://uknowledge.uky.edu/math_etds/7 http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1006&context=math_etds |