Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models.
Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models.
复制标题
内聚区域模型中最小化器的自由边界的最优规则性和结构。
DOI：
10.1007/s00205-020-01509-3
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发表时间：
2020
影响因子：
2.5
通讯作者：
Caffarelli L
中科院分区：
文献类型：
--
作者：
Caffarelli L
我们研究了断裂力学的内聚区模型中能量泛函极小化的最优正则性和自由边界。在光滑假设的边界条件和断裂能量密度，我们表明，极小值，附近的非退化点的断裂集，对于一些。
We study optimal regularity and free boundary for minimizers of an energy functional arising in cohesive zone models for fracture mechanics. Under smoothness assumptions on the boundary conditions and on the fracture energy density, we show that minimizers are, and that near non-degenerate points the fracture set is, for some.