论文标题
小型极端冲击的尖锐的A型估计值
Sharp a-contraction estimates for small extremal shocks
论文作者
论文摘要
在本文中，我们研究了$ contraction属性的$ contraction属性，即在遭受较大扰动的情况下，赋予了单个凸熵的1D屈曲保护法系统。我们表明，可以选择重量系数$ a $，其幅度与冲击的大小成正比。本文的主要结果是同伴论文中的一个关键构建块，[{arxiv：2010.04761}，2020年]，其中唯一性和BV稳定性结果以$ 2 \ times 2 $ $ 2 $ 2 $的增压保护法的系统证明。
In this paper, we study the $a$-contraction property of small extremal shocks for 1-d systems of hyperbolic conservation laws endowed with a single convex entropy, when subjected to large perturbations. We show that the weight coefficient $a$ can be chosen with amplitude proportional to the size of the shock. The main result of this paper is a key building block in the companion paper, [{arXiv:2010.04761}, 2020], in which uniqueness and BV-weak stability results for $2\times 2$ systems of hyperbolic conservation laws are proved.
