标量Hencky塑性的连续性方程和特征流
Continuity equation and characteristic flow for scalar Hencky plasticity
摘要：
我们调查的唯一性问题所产生的最简单的模型，Hencky塑性连续性方程。相关系统的形式为$\rm{ curl\;}(μσ)=0$，其中$μ$是非负测度，$σ$是二维无发散单位向量场。在建立该领域的Sobolev正则性，我们提供了一个精确的描述的所有可能的几何形状的特征流，以及相关的解决方案。
英文摘要：
We investigate uniqueness issues for a continuity equation arising out of the simplest model for plasticity, Hencky plasticity. The associated system is of the form $\rm{ curl\;}(μσ)=0$ where $μ$ is a nonnegative measure and $σ$ a two-dimensional divergence free unit vector field. After establishing the Sobolev regularity of that field, we provide a precise description of all possible geometries of the characteristic flow, as well as of the associated solutions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
