most citedBoundedness in a two-dimensional doubly degenerate nutrient taxis system

2 citations · 2 across the 9 of their papers we have counts for

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9 papers

math.AP2026

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 = Δu - \nabla \cdot \left(u(1+|…

math.AP2026

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…

math.AP2026

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…

math.AP2026

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\…

math.AP2024

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…

math.AP2024

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)-…

math.AP2024

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=Δu+\nabla \cdot(uf(|\nabla v|^2) \nabla v),…

math.AP2024

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=Δu+\nabla \cdot(S(u) \nabla v), τv_t=Δv-u v, \end{array} \right. \…

math.AP2024★ 2 cited

Boundedness in a two-dimensional doubly degenerate nutrient taxis system

Zhiguang Zhang, Yuxxiang Li

In this work, we study the no-flux initial-boundary value problem for the doubly degenerate nutrient taxis system \begin{align} \begin{cases}\tag{}\label{eq 0.1} u_t=\nabla…