%0 Journal Article
%T Well-posedness for the heat flow of harmonic maps and the liquid crystals flow with rough initial data
%A Changyou Wang
%J Mathematics
%D 2010
%I arXiv
%R 10.1007/s00205-010-0343-5
%X We investigate the well-posedness of (i) the heat flow of harmonic maps from $R^n$ to a compact Riemannian manifold without boundary for initial data in BMO; and (ii) the hydrodynamic flow $(u,d)$ of nematic liquid crystals on $\mathbb R^n$ for initial data in $BMO^{-1}\times BMO$.
%U http://arxiv.org/abs/1001.2296v1