Special Session 43: Control and long time dynamics of evolutionary partial differential equations

Wellposedness of multilayered structure interaction PDE systems

Pelin Guven Geredeli
Iowa State University
USA
Co-Author(s):    
Abstract:
In this work, we will consider a multilayered structure interaction PDE system which has been used in the literature to describe the blood transport process within vascular walls. Our main objective is to establish semigroup wellposedness of the coupled PDE system by way of nonstandard elimination of associated pressure terms via appropriate nonlocal operators and subsequent Babuska-Brezzi formulations.