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arxiv: 1106.6140 · v1 · pith:AO75CBSKnew · submitted 2011-06-30 · 🧮 math.FA

Existence of strong solutions for the compressible Ericksen-Leslie model

classification 🧮 math.FA
keywords solutionsstrongdataexistenceinitialsystemcompatibilitycompressible
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In this paper, we prove the existence and uniqueness of local strong solutions of the hydrodynamics of nematic liquid crystals system under the initial data satisfying a natural compatibility condition. Also the global strong solutions of the system with small initial data are obtained.

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