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

By Changyou Wang. 2010

197 citations recorded by the source corpus.

We investigate the well-posedness of (1) the heat flow of harmonic maps from $${\mathbb R^n}$$ to a compact Riemannian manifold N without boundary for initial data in BMO; and (2) the hydrodynamic flow (u, d) of nematic liquid crystals on $${\mathbb R^n}$$ for initial data in BMO−1 × BMO.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b869f58e02b87d846ff4de41da7f851d0d0dc668