180 citations · 1.3k across the 65 of their papers we have counts for
3 papers · 2 filters
Emergence of non-trivial minimizers for the three-dimensional Ohta-Kawasaki energy
Hans Knüpfer, Cyrill Muratov, Matteo Novaga
This paper is concerned with the diffuse interface Ohta-Kawasaki energy in three space dimensions, in a periodic setting, in the parameter regime corresponding to the onset of non-…
Edge domain walls in ultrathin exchange-biased films
Ross G. Lund, Cyrill B. Muratov, Valeriy V. Slastikov
We present an analysis of edge domain walls in exchange-biased ferromagnetic films appearing as a result of a competition between the stray field at the film edges and the exchange…
A nonlocal isoperimetric problem with dipolar repulsion
Cyrill B. Muratov, Thilo Simon
We study a geometric variational problem for sets in the plane in which the perimeter and a regularized dipolar interaction compete under a mass constraint. In contrast to previous…