Uniqueness result for a weighted pendulum equation modeling domain walls in notched ferromagnetic nanowires

Autor:	Ignat, Radu
Rok vydání:	2021
Předmět:	Mathematics - Classical Analysis and ODEs Mathematical Physics Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We prove an existence and uniqueness result for solutions $\varphi$ to a weighted pendulum equation in $\mathbb{R}$ where the weight is non-smooth and coercive. We also establish (in)stability results for $\varphi$ according to the monotonicity of the weight. These results are applied in a reduced model for thin ferromagnetic nanowires with notches to obtain existence, uniqueness and stability of domain walls connecting two opposite directions of the magnetization.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.13358 Zobrazit plný text záznamu View this record from Arxiv