Well-posedness for the heat flow of harmonic maps and the liquid crystals flow with rough initial data

Details Well-posedness for the heat flow of harmonic maps and the liquid crystals flow with rough initial data Well-posedness for the heat flow of harmonic maps and the liquid crystals flow with rough initial data

2010-01-13

arxiv.org/abs/1001.2296v1

Mathematics

Analysis of PDEs

19 pages

Scientific paper

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 $BMO^{-1}\times BMO$.

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