A note on optimal control problem fora hemivariational inequality modeling fluid flow
A note on optimal control problem fora hemivariational inequality modeling fluid flow
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DOI：
10.3934/proc.2013.2013.545
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发表时间：
2013-11
期刊：
影响因子：
--
通讯作者：
S. Migórski
中科院分区：
文献类型：
--
作者：
S. Migórski
考虑了一类定常Navier-Stokes方程在有界区域上具有次微分边界条件的边值问题的分布参数最优控制问题。边值问题的弱形式是与非凸非光滑局部Lipschitz超势相关的半变分不等式。我们建立了最优控制问题解的存在性。我们还解决了半变分不等式的潜在识别的一个公开问题。
We consider a class of distributed parameter optimal control problems for the boundary value problem for the stationary Navier--Stokes equation with a subdifferential boundary condition in a bounded domain. The weak formulation of the boundary value problem is a hemivariational inequality associated with a nonconvex nonsmooth locally Lipschitz superpotential. We establish the existence of solutions to the optimal control problem. We also address an open problem of potential identification in the hemivariational inequality.