论文标题
与不连续通量的标量保护法的精确和最佳可控性
Exact and optimal controllability for scalar conservation laws with discontinuous flux
论文作者
论文摘要
本文描述了可及的集合，并解决了不连续通量的标量保护定律的最佳控制问题。我们为可及的设置提供了必要和足够的标准。已经描述了一种新的向后分辨率，以获得可及的集合。关于最佳控制问题，我们首先证明了最小化器的存在，然后向后算法使我们能够对其进行计算。同样的方法也适用于计算精确控制问题的初始数据控制。我们的证明方法依赖于具有特征曲线的不连续的通量和较细性的保护法的明确公式。
This paper describes the reachable set and resolves an optimal control problem for the scalar conservation laws with discontinuous flux. We give a necessary and sufficient criteria for the reachable set. A new backward resolution has been described to obtain the reachable set. Regarding the optimal control problem we first prove the existence of a minimizer and then the backward algorithm allows us to compute it. The same method also applies to compute the initial data control for an exact control problem. Our methodology for the proof relies on the explicit formula for the conservation laws with the discontinuous flux and finer properties of the characteristics curves.
