Search Results - "Slastikov, Valeriy"

A micromagnetic theory of skyrmion lifetime in ultrathin ferromagnetic films by Bernand-Mantel, Anne, Muratov, Cyrill B, Slastikov, Valeriy V

“…We use the continuum micromagnetic framework to derive the formulas for compact skyrmion lifetime due to thermal noise in ultrathin ferromagnetic films with…”
Get full text

Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii–Moriya interaction by Muratov, Cyrill B., Slastikov, Valeriy V.

“…Recent advances in nanofabrication make it possible to produce multilayer nanostructures composed of ultrathin film materials with thickness down to a few…”
Get full text

Magnetic skyrmions under confinement by Monteil, Antonin, Muratov, Cyrill B, Simon, Theresa M, Slastikov, Valeriy V

“…Commun. Math. Phys. 404, 1571-1605 (2023) We present a variational treatment of confined magnetic skyrmions in a minimal micromagnetic model of ultrathin…”
Get full text

Symmetry and Multiplicity of Solutions in a Two-Dimensional Landau–de Gennes Model for Liquid Crystals by Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy, Zarnescu, Arghir

“…We consider a variational two-dimensional Landau–de Gennes model in the theory of nematic liquid crystals in a disk of radius R . We prove that under a…”
Get full text

Magnetic Skyrmions Under Confinement by Monteil, Antonin, Muratov, Cyrill B., Simon, Theresa M., Slastikov, Valeriy V.

“…We present a variational treatment of confined magnetic skyrmions in a minimal micromagnetic model of ultrathin ferromagnetic films with interfacial…”
Get full text

Domain walls in the coupled Gross–Pitaevskii equations with the harmonic potential by Contreras, Andres, Pelinovsky, Dmitry E., Slastikov, Valeriy

“…We study the existence and variational characterization of steady states in a coupled system of Gross–Pitaevskii equations modeling two-component Bose-Einstein…”
Get full text

Engineering Curvature-Induced Anisotropy in Thin Ferromagnetic Films by Tretiakov, Oleg A, Morini, Massimiliano, Vasylkevych, Sergiy, Slastikov, Valeriy

“…We investigate the effect of large curvature and dipolar energy in thin ferromagnetic films with periodically modulated top and bottom surfaces on…”
Get full text

Landau-de Gennes Corrections to the Oseen-Frank Theory of Nematic Liquid Crystals by Di Fratta, Giovanni, Robbins, Jonathan M., Slastikov, Valeriy, Zarnescu, Arghir

“…We study the asymptotic behavior of the minimisers of the Landau-de Gennes model for nematic liquid crystals in a two-dimensional domain in the regime of small…”
Get full text

Chiral magnetism: a geometric perspective by Hill, Daniel, Slastikov, Valeriy, Tchernyshyov, Oleg

“…We discuss a geometric perspective on chiral ferromagnetism. Much like gravity becomes the effect of spacetime curvature in theory of relativity, the…”
Get full text

On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces by Fratta, Giovanni Di, Fiorenza, Alberto, Slastikov, Valeriy

“…The paper concerns the analysis of global minimizers of a Dirichlet-type energy functional in the class of $ \mathbb{S}^2 $-valued maps defined in cylindrical…”
Get full text

Edge Domain Walls in Ultrathin Exchange-Biased Films by Lund, Ross G., Muratov, Cyrill B., Slastikov, Valeriy V.

“…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…”
Get full text

Reduced models for ferromagnetic nanowires by Slastikov, V. V., Sonnenberg, C.

“…In this paper, we consider the micromagnetic variational problem for soft ferromagnetic nanowires. We show that, as the diameter of the wire is small, the…”
Get full text

Domain wall motion in thin ferromagnetic nanotubes: Analytic results by Goussev, Arseni, Robbins, J. M., Slastikov, Valeriy

“…Dynamics of magnetization domain walls (DWs) in thin ferromagnetic nanotubes subject to weak longitudinal external fields is addressed analytically in the…”
Get full text

Domain-wall motion in ferromagnetic nanowires driven by arbitrary time-dependent fields: an exact result by Goussev, Arseni, Robbins, J M, Slastikov, Valeriy

“…We address the dynamics of magnetic domain walls in ferromagnetic nanowires under the influence of external time-dependent magnetic fields. We report a new…”
Get full text

Another thin-film limit of micromagnetics by KOHN, Robert V, SLASTIKOV, Valeriy V

“…We consider the variational problem of micromagnetics for soft, relatively small thin films with no applied magnetic field. In terms of the film thickness t,…”
Get full text

Curved thin-film limits of chiral Dirichlet energies by Di Fratta, Giovanni, Slastikov, Valeriy

“…We investigate the curved thin-film limit of a family of perturbed Dirichlet energies in the space of H1 Sobolev maps defined in a tubular neighborhood of an…”
Get full text

An estimate of the blow-up of Lebesgue norms in the non-tempered case by Di Fratta, Giovanni, Fiorenza, Alberto, Slastikov, Valeriy

“…We prove that if p>1 and ψ:]0,p−1]→]0,∞[ is just nondecreasing and differentiable (hence not necessarily Δ2), then for every f Lebesgue measurable function on…”
Get full text

Geometrically constrained walls by Kohn, Robert V., Slastikov, Valeriy V.

“…We address the effect of extreme geometry on a non-convex variational problem. The analysis is motivated by recent investigations of magnetic domain walls…”
Get full text

Sufficient conditions for the existence of minimizing harmonic maps with axial symmetry in the small-average regime by Di Fratta, Giovanni, Slastikov, Valeriy V., Zarnescu, Arghir D.

“…The paper concerns the analysis of global minimizers of a Dirichlet-type energy functional defined on the space of vector fields H1(S,T), where S and T are…”
Get full text

Stability of the Melting Hedgehog in the Landau–de Gennes Theory of Nematic Liquid Crystals by Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy, Zarnescu, Arghir

“…We investigate stability properties of the radially symmetric solution corresponding to the vortex defect (the so called “melting hedgehog”) in the framework…”
Get full text