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arxiv: 1305.0622 · v3 · pith:S7OH7TLOnew · submitted 2013-05-03 · 🧮 math.AP

Global existence of weak solution for the 2-D Ericksen-Leslie system

classification 🧮 math.AP
keywords ericksen-lesliesystemexistencegloballeslieprovesolutionstress
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We prove the global existence of weak solution for two dimensional Ericksen-Leslie system with the Leslie stress and general Ericksen stress under the physical constrains on the Leslie coefficients. We also prove the local well-posedness of the Ericksen-Leslie system in two and three spatial dimensions.

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