论文标题
对具有测量值控制的2D进化Navier-Stokes方程的最佳控制
Optimal Control of the 2D Evolutionary Navier-Stokes Equations with Measure Valued Controls
论文作者
论文摘要
在本文中，我们考虑了二维进化Navier-Stokes系统的最佳控制问题。寻找稀疏性，我们将控件作为时间的函数，以在Borel措施的一个空间中进行值。成本功能不直接涉及控制，但我们对其进行了一些限制。我们证明了控制问题的适当性，并得出了对控件局部最优性的必要条件。
In this paper, we consider an optimal control problem for the two-dimensional evolutionary Navier-Stokes system. Looking for sparsity, we take controls as functions of time taking values in a space of Borel measures. The cost functional does not involve directly the control but we assume some constraints on them. We prove the well-posedness of the control problem and derive necessary and sufficient conditions for local optimality of the controls.
