论文标题
熵缺陷度量的重组度模型
Rectifiability of entropy defect measures in a micromagnetics model
论文作者
论文摘要
我们研究了一类弱解决方案的优质特性，$ u $ u $ eikonal方程是作为引入（rivièreT，Serfaty S. S. S. S.限制域壁的能量的渐近域）的渐近域。与微磁学有关的限制域壁能量。CommPure Appl Math 2001; 54（3）：294-338）。特别是我们证明，与$ U $相关的熵缺陷度量集中在1个可调的集合上，该集合检测到$ U $的跳跃类型不连续性。
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 (Rivière T, Serfaty S. Limiting domain wall energy for a problem related to micromagnetics. Comm Pure Appl Math 2001; 54(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 $u$.
