%0 Journal Article %T Global existence of weak solution for the 2-D Ericksen-Leslie system %A Meng Wang %A Wendong Wang %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1305.0622v3