We consider an optimal control problem subject to a poro-visco-elastic model with applications to fluid flows through biological tissues. Our goal is to optimize the fluid pressure and solid displacement using distributed or boundary control. We reference an application of this problem to the human eye. We discuss the theoretical results for the problem as well as the methods to numerically approximate an optimal control.
Optimal Control of Fluid Flows through Deformable Porous Media
Sarah Strikwerda, North Carolina State UniversityAuthors: Lorena Bociu and Sarah Strikwerda
2022 AWM Research Symposium
Systems and Control