报告地点：行健楼学术活动室526
摘要：In this talk, I will present a series of work on fluid-structure interaction problems coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries. The blood is modeled by the incompressible Navier-Stokes equation, while the motion of vessels is captured by the incompressible morpheoelasticity. The growth happens when both cells in fluid and solid react, diffuse and transport across the interface, resulting in the accumulation of foam cells, which are exactly seen as the plaques. I will show the well-posedness results of such problems in Maximal L^p-regularity framework under different situations, addressing various essential difficulties. In particular, a ninety-degree contact angle problem will be discussed with more details. This talk is based on joint work with Prof. Dr. Helmut Abels (Regensburg).
