We identify the optimal scaling law for a nonconvex, nonlocal variational problem representing the magnetic energy of a uniaxial ferromagnet. Our analysis is restricted to a certain parameter regime, in which the surface tension is sufficiently small relative to the other parameters of the problem.
|Original language||English (US)|
|Number of pages||31|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - Mar 1998|
ASJC Scopus subject areas
- Applied Mathematics