180 citations · 1.3k across the 65 of their papers we have counts for
4 papers · 2 filters
Uniqueness of one-dimensional Néel wall profiles
Cyrill B. Muratov, Xiaodong Yan
We study the domain wall structure in thin uniaxial ferromagnetic films in the presence of an in-plane applied external field in the direction normal to the easy axis. Using the re…
On well-posedness of variational models of charged drops
Cyrill B. Muratov, Matteo Novaga
Electrified liquids are well known to be prone to a variety of interfacial instabilities that result in the onset of apparent interfacial singularities and liquid fragmentation. In…
One-dimensional domain walls in thin ferromagnetic films with fourfold anisotropy
Ross G. Lund, Cyrill B. Muratov
We study the properties of domain walls and domain patterns in ultrathin epitaxial magnetic films with two orthogonal in-plane easy axes, which we call fourfold materials. In these…
Threshold phenomena for symmetric-decreasing radial solutions of reaction-diffusion equations
C. B. Muratov, X. Zhong
We study the long time behavior of positive solutions of the Cauchy problem for nonlinear reaction-diffusion equations in with bistable, ignition or monostable nonli…