9 citations · 11 across the 3 of their papers we have counts for
3 papers
math.AP2023★ 2 cited
A cross-diffusion system modelling rivaling gangs: global existence of bounded solutions and FCT stabilization for numerical simulation
Mario Fuest, Shahin Heydari
For the gang territoriality model \begin{align*} \begin{cases} u_t = D_u Δu + χ_u \nabla \cdot (u \nabla w), \\ v_t = D_v Δv + χ_v \nabla \cdot (v \nabla z), \\ w_t = -w + \frac{v}…
math.NA2023
Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model
Shahin Heydari, Petr Knobloch, Thoma Wick
In the present work, we investigate a model of the invasion of healthy tissue by cancer cells which is described by a system of nonlinear PDEs consisting of a cross-diffusion-react…
math.NA2022★ 9 cited
Global existence of classical solutions and numerical simulations of a cancer invasion model
Mario Fuest, Shahin Heydari, Petr Knobloch +2
In this paper, we study a cancer invasion model both theoretically and numerically. The model is a nonstationary, nonlinear system of three coupled partial differential equations m…