Tumor Growth Model and the Free Boundary Limit Model
Time: 2024-11-19
Published By: He Liu
Speaker(s): Liyuan Suo(BICMR)
Time: 15:00-16:00 November 21, 2024
Venue: Room 77201, Jingchunyuan 78, BICMR
Tumor growth models have received growing attention from a wide range of fields, from biomedical ingredients to the mathematical description. The aim of this presentation is to give a brief introduction to tumor growth models and the free boundary limit models. When the initial data is non-negative, bounded, and compactly supported, the positive set of the cell density stays bounded within any finite time. The support of the pressure variables expand relative to the streamlines. Taking the limit, the solutions will converge in a suitable sense to a free boundary problem of Hele-Shaw type.