Global smooth solution to the simplified Ericksen-Leslie system in dimension three

Published 11 Jul 2013 in math.AP | (1307.2972v2)

Abstract: In this paper, we consider Cauchy problem of simplified Ericksen-Leslie system in dimension three. We establish the unique existence of global smooth solution under some nonlinear conditions on initial data. However, we do not need small conditions on initial data.

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