The main objective of this paper is to study the optimal distributed control for a model of homogeneous incompressible two-phase flows. We apply the well-posedness and regularity results to establish the existence of optimal controls as well as the first-order necessary optimality conditions for an associated optimal control problem in which a distributed control is applied to the fluid.

中文翻译：

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均相不可压缩两相流模型的最优分布控制

本文的主要目的是研究均匀不可压缩两相流模型的最优分布控制。我们应用适定性和规律性结果来建立最优控制的存在以及相关的最优控制问题的一阶必要最优条件，在最优控制问题中，对流体应用了分布式控制。