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Article Dans Une Revue Comptes Rendus. Mathématique Année : 2022

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

Résumé

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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Dates et versions

hal-03517757 , version 1 (09-01-2022)

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Radu Ignat. Uniqueness result for a weighted pendulum equation modeling domain walls in notched ferromagnetic nanowires. Comptes Rendus. Mathématique, 2022, 360 (G7), pp.819-828. ⟨10.5802/crmath.349⟩. ⟨hal-03517757⟩
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