2 citations · 3 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
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…
Migrating elastic flows II
Tatsuya Miura
We solve a variant of Huisken's problem for open curves: we construct migrating elastic flows under the natural boundary conditions, extending previous work from the nonlocal flow…
Smooth compactness of elasticae
Tatsuya Miura
We prove a smooth compactness theorem for the space of elasticae, unless the limit curve is a straight segment. As an application, we obtain smooth stability results for minimizers…
Elastic curves and self-intersections
Tatsuya Miura
This is an expository note to give a brief review of classical elastica theory, mainly prepared for giving a more detailed proof of the author's Li--Yau type inequality for self-in…