@article{d325c68943944a3899a0aa81be6ba9af,
title = "Transverse Domain Walls in Thin Ferromagnetic Strips",
abstract = "We present a characterization of the domain wall solutions arising as minimizers of an energy functional obtained in a suitable asymptotic regime of the micromagnetics for infinitely long thin film ferromagnetic strips in which the magnetization is forced to lie in the film plane. For the considered energy, we provide the existence, uniqueness, monotonicity, and symmetry of the magnetization profiles in the form of 180 ∘ and 360 ∘ walls. We also demonstrate how this energy arises as a Γ -limit of the reduced two-dimensional thin film micromagnetic energy that captures the non-local effects associated with the stray field, and characterize its respective energy minimizers.",
author = "M. Morini and Muratov, {C. B.} and M. Novaga and Slastikov, {V. V.}",
note = "Funding Information: The work of CBM was supported, in part, by NSF via Grants DMS-1614948 and DMS-1908709. MN was supported by the PRIN Project 2019/24. MM and MN are members of the INDAM/GNAMPA. VS acknowledges support by Leverhulme Grant RPG-2018-438 and would like to thank the Max Planck Institute for Mathematics in the Sciences in Leipzig for support and hospitality. Funding Information: The work of CBM was supported, in part, by NSF via Grants DMS-1614948 and DMS-1908709. MN was supported by the PRIN Project 2019/24. MM and MN are members of the INDAM/GNAMPA. VS acknowledges support by Leverhulme Grant RPG-2018-438 and would like to thank the Max Planck Institute for Mathematics in the Sciences in Leipzig for support and hospitality. Funding Information: Open access funding provided by Universit{\'a} di Pisa within the CRUI-CARE Agreement. Publisher Copyright: {\textcopyright} 2023, The Author(s).",
year = "2023",
month = jun,
doi = "10.1007/s00205-023-01868-7",
language = "English (US)",
volume = "247",
journal = "Archive for Rational Mechanics and Analysis",
issn = "0003-9527",
publisher = "Springer New York",
number = "3",
}