2 problems

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Far-off domain-wall decomposition conjecture for generic magnetisations
Let $h$ denote the applied field, and let magnetisations be configurations governed by the Landau–Lifshitz–Gilbert equation in a nanowire with Dzyaloshinskii–Moriya interaction. A…
Conjectureopendomain-walls landau-lifshitz-gilbert micromagneticsarXiv posted 2 days ago
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Conjecture on endpoint separation for Landau–Lifshitz–Gilbert profiles
Endpoint separation conjecture. For every $\alpha\in(0,1)$ and $c>0$ ,
Conjectureopenasymptotic-analysis landau-lifshitz-gilbert travelling-wavesarXiv posted 2 days ago

Far-off domain-wall decomposition conjecture for generic magnetisations