Analysis of a diffuse interface model of multispecies tumor growth

• Published in: Nonlinearity Vol. 30; no. 4; pp. 1639 - 1658
• Main Authors: Dai, Mimi, Feireisl, Eduard, Rocca, Elisabetta, Schimperna, Giulio, Schonbek, Maria E
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.04.2017
• Subjects: Cahn-Hilliard equation; Darcy law; diffuse interface model; reaction-diffusion equation; singular limits; tumor growth; weak solution

We consider a diffuse interface model for tumor growth recently proposed in Chen et al (2014 Int. J. Numer. Methods Biomed. Eng. 30 726-54). In this new approach sharp interfaces are replaced by narrow transition layers arising due to adhesive forces among the cell species. Hence, a continuum thermo...