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Short-time regularity for dynamic evolution problems in perfect plasticity
Applicable Analysis ( IF 1.1 ) Pub Date : 2020-12-25 , DOI: 10.1080/00036811.2020.1859498
Clément Mifsud 1
Affiliation  

ABSTRACT

In this paper, we study the regularity properties of solutions of dynamic evolution problems in perfect plasticity. We prove that for any space dimension and for any closed convex set of constraints containing zero as an interior point, the solutions are regular in space during a short time interval if the data are smooth and compactly supported. The result is based on the hyperbolic structure of the model, namely the finite speed propagation property.



中文翻译:

完美塑性动态演化问题的短时规律

摘要

在本文中,我们研究了完美可塑性下动态演化问题解的规律性。我们证明,对于任何空间维度和包含零作为内点的任何封闭凸约束集,如果数据平滑且紧凑地支持,则解在短时间间隔内在空间中是规则的。结果基于模型的双曲线结构,即有限速度传播特性。

更新日期:2020-12-25
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