On the existence and stability of minimizers in ferromagnetic nanowires

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• 作者：Davit Harutyunyan ^{davith@math.utah.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Nanowires ; Magnetization reversal ; Transverse wall ; Vortex wall ; Domain wall
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：15 February 2016
• 年：2016
• 卷：434
• 期：2
• 页码：1719-1739
• 全文大小：451 K

文摘

We study static 180 degree domain walls in infinite magnetic wires with bounded, C¹$C^1$ and rotationally symmetric cross sections. We prove an existence of global minimizers for the energy of micromagnetics for any bounded C¹$C^1$ cross sections. Under some asymmetry of cross sections we prove a stability result for the minimizers, namely, we show that vectors of micromagnetics having an energy close to the minimal one, must be H¹$H^1$ close to the actual minimizer, which is itself close to the minimizer of the limit energy up to a rotation and a translation.