Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773942 | Journal of Differential Equations | 2017 | 56 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Radu Ignat, Roger Moser,