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Global existence of weak solution for the 2-D Ericksen-Leslie system (1305.0622v3)
Published 3 May 2013 in math.AP
Abstract: 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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