Speaker
Kilian Hacker
Description
We consider a Stokes flow coupled with advective-diffusive transport in an evolving domain with boundary conditions allowing for inflow and outflow. The domain evolution is induced by the transport process, leading to a fully coupled problem. We prove existence of weak solutions to the system using a fixed-point method which allows us to treat the nonlinear coupling. Our approach aims to model the thermal control of blood flow in human skin and the underlying physiological processes. To this end, the model takes into account temperature-dependent production of biochemical substances, the subsequent dilation of blood vessels, and the resulting changes in convective heat transfer.
