二维发展Navier-斯托克斯方程的最优控制
Optimal Control of the 2D Evolutionary Navier-Stokes Equations with Measure Valued Controls
摘要：
本文考虑二维演化Navier-Stokes系统的最优控制问题。寻找稀疏性，我们把控制作为时间的函数，在Borel措施的空间中取值。成本泛函不直接涉及控制，但我们假设一些约束。我们证明了控制问题的适定性，并得到了局部最优控制的充要条件。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
