On the Incompressible Limit for a Tumour Growth Model Incorporating Convective Effects

On the Incompressible Limit for a Tumour Growth Model Incorporating Convective Effects

Explore a 43-minute lecture on the incompressible limit of a tissue growth model with applications to tumour growth, presented by Markus Schmidtchen from the University of Dresden at the Institut Henri Poincaré. Delve into the study of a model based on Perthame, Quirós, and Vázquez's 2014 work, which incorporates advective effects caused by factors such as nutrients, oxygen, or self-propulsion. Examine the main result, which establishes a connection between the density-based model and a geometry free-boundary problem through a singular limit in the pressure law. Learn about the proof of uniqueness for the limiting objects and gain insights into advanced mathematical modeling techniques applied to tumor growth dynamics.