Special Session 43: Control and long time dynamics of evolutionary partial differential equations
Analysis of a multiscale interface coupling between fluid flow in deformable porous media and a lumped hydraulic circuit
Matthew E Broussard
North Carolina State University USA
Co-Author(s): Lorena Bociu, Giovanna Guidoboni, Sarah Strickwerda
Abstract:
We consider a multiscale interface coupling between a 3D partial differential equations system modeling fluid flow in deformable porous media and an or- dinary differential equation modeling a lumped hydraulic circuit that accounts for the global features of the problem. The main application of interest is tissue perfusion. We provide recent results related to well-posedness analysis for the above mentioned system.