Constrained nonstationary incompressible Oseen-Navier-Stokes system with leak and slip boundary conditions: existence and optimal control

Key Points

• The study finds that solutions exist for the incompressible fluid dynamics model, addressing leak and slip conditions effectively.
• Key evidence shows that the proposed optimal control strategy improves system stability under nonstationary conditions.
• Analysis of the constrained nonstationary Oseen-Navier-Stokes system demonstrates how boundary conditions influence fluid flow.
• These findings may enable advancements in engineering applications where fluid control is crucial, thus leading to more efficient designs.