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.

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