We explore new ways of regulating defect behavior in systems of conservation laws. Contrary to usual regularization schemes (such as a vanishing viscosity limit), which attempt to control defects by making them smoother, our schemes result in defects which are more singular, and we thus refer to such schemes as “irregularizations”. In particular, we seek to produce delta shock defects which satisfy a condition of stationarity. We are motivated to pursue such exotic defects by a physical example arising from dislocation dynamics in materials physics, which we describe.

中文翻译：

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保护法制度的“不规范”

我们探索了在保护法体系中调节缺陷行为的新方法。与通常的正则化方案（例如消失的粘度极限）相反，后者试图通过使缺陷更平滑来控制缺陷，我们的方案导致的缺陷更加奇异，因此我们将此类方案称为“不规则化”。特别地，我们寻求产生满足平稳性条件的Δ冲击缺陷。我们有动机通过材料物理中位错动力学产生的物理示例来寻求此类奇特的缺陷，我们对此进行了描述。