2 citations · 2 across the 1 of their papers we have counts for
4 papers
Towards understanding the boundary propagation speeds in tumor growth models
Jian-Guo Liu, Min Tang, Li Wang +1
At the continuous level, we consider two types of tumor growth models: the cell density model, which is based on the fluid mechanical construction, is more favorable for scientific…
Analysis and computation of some tumor growth models with nutrient: from cell density models to free boundary dynamics
Jian-Guo Liu, Min Tang, Li Wang +1
In this paper, we study the tumor growth equation along with various models for the nutrient component, including the \emph{in vitro} model and the \emph{in vivo} model. At the cel…
An accurate front capturing scheme for tumor growth models with a free boundary limit
Jian-Guo Liu, Min Tang, Li Wang +1
We consider a class of tumor growth models under the combined effects of density-dependent pressure and cell multiplication, with a free boundary model as its singular limit when t…
Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations
Jian-Guo Liu, Li Wang, Zhennan Zhou
We propose a semi-discrete scheme for 2D Keller-Segel equations based on a symmetrization reformation, which is equivalent to the convex splitting method and is free of any nonline…