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arXiv · 2112.13358

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

Radu Ignat
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Abstract

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.

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Radu Ignat. 2021-12-26. Uniqueness result for a weighted pendulum equation modeling domain walls in notched ferromagnetic nanowires. https://arxiv.org/abs/2112.13358

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