ANALYSIS OF FLUIDS AND RELATED TOPICS: Optimal Control in Fluid Flows through Deformable Porous Media, Sarah Strikwerda, North Carolina State University

Thu, Sep 15, 2022, 3:00 pm

Optimal Control in Fluid Flows through Deformable Porous Media

Abstract: We consider an optimal control problem subject to an elliptic-parabolic coupled system of partial differential equations that describes fluid flow through biological tissues. Our goal is to optimize the fluid pressure and solid displacement using distributed or boundary control. We first show results on the existence and uniqueness of optimal controls and then present necessary optimality conditions. The optimal controls can be approximated numerically. Additionally, we consider the problem with integer controls and discuss the regularity assumptions necessary to apply a recently proposed algorithm.

 

Location: 
Fine Hall 314
Speaker(s): 

Upcoming Events

ANALYSIS OF FLUIDS AND RELATED TOPICS: Turbulent solutions of fluid equations: Alexey Cheskidov, University of Illinois at Chicago

PACM Colloquium, Prof. Lin Lin, UC Berkeley University

Mon, Feb 6, 2023, 4:30 pm
Location: 214 Fine Hall

ANALYSIS OF FLUIDS AND RELATED TOPICS: Kevin Zumbrun, Indiana University

Thu, Feb 9, 2023, 3:00 pm
Location: Fine Hall 314