From constant mean curvature hypersurfaces to the gradient theory of phase transitions
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We construct solutions of the Cahn-Hilliard equation whose nodal set converges to a given constant mean curvature hypersurface in a Riemannian manifold.
Keywords
Cite
@article{arxiv.math/0302160,
title = {From constant mean curvature hypersurfaces to the gradient theory of phase transitions},
author = {Frank Pacard and Manuel Ritoré},
journal= {arXiv preprint arXiv:math/0302160},
year = {2007}
}