叶昌伦 博士（贵州师范大学数学科学学院）

龚伟 研究员

Simulations and Analysis for Optimal Control of Two-Phase Electrically Conducting Fluid Flows

7月3日（周五）16:00-17:00，腾讯会议号：172-607-352

In this talk, we consider an optimal control problem for two-phase electrically conducting fluid flows governed by the two-phase inductionless magnetohydrodynamic (MHD) equations. We propose a corresponding implementable discrete optimal control problem based on a fully discrete decoupled scheme for the governing state equation. Detailed stability estimates for the discrete state and adjoint state equations are derived, from which we establish the existence of solutions to the continuous optimal control problem as well as the necessary optimality conditions for the existence of a minimizer. To validate the effectiveness of the control strategy, we examine two practical examples: droplet transport and optimal mixing, which illustrate the power of the optimal control approach.