Néel walls with prescribed winding number and how a nonlocal term can change the energy landscape

Radu Ignat, Roger Moser

Research output: Contribution to journalArticle

3 Citations (Scopus)
236 Downloads (Pure)

Abstract

We study a nonlocal Allen-Cahn type problem for vector fields of unit length, arising from a model for domain walls (called Néel walls) in ferromagnetism. We show that the nonlocal term gives rise to new features in the energy landscape; in particular, we prove existence of energy minimisers with prescribed winding number that would be prohibited in a local model.
Original languageEnglish
Pages (from-to)5846-5901
JournalJournal of Differential Equations
Volume263
Issue number9
Early online date24 Jul 2017
DOIs
Publication statusPublished - 5 Nov 2017

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