35 citations · 53 across the 5 of their papers we have counts for
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Variational principles of micromagnetics revisited
Giovanni Di Fratta, Cyrill B. Muratov, Filipp N. Rybakov +1
We revisit the basic variational formulation of the minimization problem associated with the micromagnetic energy, with an emphasis on the treatment of the stray field contribution…
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…
The Gamma-limit of the two-dimensional Ohta-Kawasaki energy. II. Droplet arrangement at the sharp interface level via the renormalized energy
Dorian Goldman, Cyrill B. Muratov, Sylvia Serfaty
This is the second in a series of papers in which we derive a -expansion for the two-dimensional non-local Ginzburg-Landau energy with Coulomb repulsion known as the Ohta-Kawasa…