@article{0d5dfd82f5b2400ea1b077f854a8fe49,
title = "Soliton dynamics in planar ferromagnets and anti-ferromagnets",
abstract = "The aim is to present a rigorous mathematical proof of the dynamical laws for the topological solitons(magnetic vortices) in ferromagnets and anti-ferromagnets. It is achieved through the conservation laws for the topological vorticity and the weak convergence methods.",
keywords = "Conservation law, Magnetic vortices, Soliton dynamics, Topological vorticity",
author = "Lin, {Fang Hua} and Jalal Shatah",
note = "Funding Information: planar ferromagnetic vortices was recently established in Hang and Lin(2001). The paper is organized as follows. In Section 2, we describe the main results, in particular, the dynamical law for solitons in planar ferromagnets and anti-ferromagnets. Various conservation laws, as well as their physical relevance, are also stated. In Section 3, we present the proofs of these results. The research of the second author was partially supported by an NSF grant ( USA). The research of the first author was supported by a NSF grant (USA) and a Chang-Jiang Professor Fund at Zhejiang University. Funding Information: * Project supported partially by the NSF grant, USA and Chang-Jiang ProfessorFundat Zhejiang University, China",
year = "2003",
month = sep,
language = "English (US)",
volume = "4",
pages = "503--510",
journal = "Journal of Zhejiang University: Science",
issn = "1009-3095",
publisher = "Zhejiang University Press",
number = "5",
}