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math.AP2025
Phase transition thresholds and chiral magnetic fields of general degree
Slim Ibrahim, Tatsuya Miura, Carlos Román +1
We study a variational problem for the Landau--Lifshitz energy with Dzyaloshinskii--Moriya interactions arising in 2D micromagnetics, focusing on the Bogomol'nyi regime. We first d…
math.AP2025★ 1 cited
Regularity and structure of non-planar -elasticae
Florian Gruen, Tatsuya Miura
We prove regularity and structure results for -elasticae in , with arbitrary and . Planar -elasticae are already classified and known…