6 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 in a two-dimensional doubly degenerate nutrient taxis system with logistic source
Zhiguang Zhang, Yuxiang Li
We are concerned with the following doubly degenerate nutrient taxis system \begin{align} \begin{cases}\tag{}\label{eq-0.1} u_t=\nabla\cdot(u v\nabla u)-\nabla\cdot(u^{2} v\…
Global boundedness for a two-dimensional doubly degenerate nutrient taxis system
Zhiguang Zhang, Yuxiang Li
This paper is concerned with the doubly degenerate nutrient taxis system and for…
Global weak solutions to a two-dimensional doubly degenerate nutrient taxis system with logistic source
Zhiguang Zhang, Yuxiang Li
In this work, we study the doubly degenerate nutrient taxis system with logistic source \begin{align} \begin{cases}\tag{}\label{eq 0.1} u_t=\nabla \cdot(u^{l-1} v \nabla u)-…