Affiliation:
1. EPFL B , Station 8, CH-1015 Lausanne , Switzerland
Abstract
Abstract
We study the fine properties of a class of weak solutions u of the eikonal equation arising as asymptotic domain of a family of energy functionals introduced in
[T. Rivière and S. Serfaty,
Limiting domain wall energy for a problem related to micromagnetics,
Comm. Pure Appl. Math. 54 2001, 3, 294–338].
In particular, we prove that the entropy defect measure associated to u is concentrated on
a 1-rectifiable set, which detects the jump-type discontinuities of u.
Subject
Applied Mathematics,Analysis
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6 articles.
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