5 papers
Critical blow-up curve in a two-species chemotaxis system with two chemicals involving flux-limitation
Ziyue Zeng, Yuxiang Li
We investigate the following two-species chemotaxis system with two chemicals involving flux-limitation \begin{align}\tag{} \begin{cases} u_t = Îu - \nabla \cdot \left(u(1+…
Finite-time blow-up in a quasilinear two-species chemotaxis system with two chemicals
Mingzhang Cai, Yuxiang Li, Ziyue Zeng
This paper investigates the finite-time blow-up phenomena to a quasilinear two-species chemotaxis system with two chemicals \begin{align}\tag{} \begin{cases} u_t = \nabla \c…
Critical blow-up lines in a two-species quasilinear chemotaxis system with two chemicals
Ziyue Zeng, Yuxiang Li
In this study, we explore the quasilinear two-species chemotaxis system with two chemicals \begin{align}\tag{} \begin{cases} u_t = \nabla \cdot(D(u)\nabla u) - \nabla \cdot…
Boundedness and finite-time blow-up in a repulsion-consumption system with flux limitation
Ziyue Zeng, Yuxiang Li
We investigate the following repulsion-consumption system with flux limitation \begin{align}\tag{} \left\{ \begin{array}{ll} u_t=Îu+\nabla \cdot(uf(|\nabla v|^2) \nabla v),…
Boundedness and finite-time blow-up in a repulsion-consumption system with nonlinear chemotactic sensitivity
Ziyue Zeng, Yuxiang Li
This paper investigates the repulsion-consumption system \begin{align}\tag{} \left\{ \begin{array}{ll} u_t=Îu+\nabla \cdot(S(u) \nabla v), Ïv_t=Îv-u v, \end{array} \right…