On the incompressible limit of Keller-Segel system with volume-filling effects
Q He, M Zhang - arXiv preprint arXiv:2412.05884, 2024 - arxiv.org
We consider the Keller-Segel system with a volume-filling effect and study its incompressible
limit. Due to the presence of logistic-type sensitivity, $ K= 1$ is the critical threshold. When …
limit. Due to the presence of logistic-type sensitivity, $ K= 1$ is the critical threshold. When …
A Three-dimensional tumor growth model and its boundary instability
In this paper, we investigate the instability of growing tumors by employing both analytical
and numerical techniques to validate previous results and extend the analytical findings …
and numerical techniques to validate previous results and extend the analytical findings …