Article ID Journal Published Year Pages File Type
5773942 Journal of Differential Equations 2017 56 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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