05.11.2025

Speaker: Sara Xhahysa     Title:   Multiphase cross-diffusion models with entropy structure for tissue growth

Abstract:   We introduce a class of cross-diffusion systems for tissue growth, based on the framework proposed by G. Lemon et al. The model is a generalization of Maxwell–Stefan system and possesses a formal entropy structure when the matrix of intraphase pressure coefficients is positive definite; this yields the a priori estimates required by the boundedness-by-entropy method, thereby establishing the existence of weak solutions. The theoretical analysis is complemented by biologically motivated case studies and numerical simulations using a finite-volume scheme.