5 citations · 17 across the 16 of their papers we have counts for
23 papers
Acceleration of Propagation in a chemotaxis-growth system with slowly decaying initial data
Zhi-An Wang, Wen-Bing Xu
In this paper, we study the spatial propagation dynamics of a parabolic-elliptic chemotaxis system with logistic source which reduces to the well-known Fisher-KPP equation without…
Asymptotic stability of diffusion waves of a quasi-linear hyperbolic-parabolic model for vasculogenesis
Qinging Liu, Hongyun Peng, Zhi-An Wang
In this paper, we derive the large-time profile of solutions to the Cauchy problem of a hyperbolic-parabolic system modeling the vasculogenesis in . When the initial data are…
Global classical solutions for a class of reaction-diffusion system with density-suppressed motility
Wenbin Lyu, Zhi-An Wang
This paper is concerned with a class of reaction-diffusion system with density-suppressed motility \begin{equation*} \begin{cases} u_{t}=Δ(γ(v) u)+αu F(w), & x \in Ω, \quad t>0, \\…
Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions
Guangyi Hong, Zhian Wang
In this paper, we consider the exogenous chemotaxis system with physical mixed zero-flux and Dirichlet boundary conditions in one dimension. Since the Dirichlet boundary condition…
Nonlinear stability of phase transition steady states to a hyperbolic-parabolic system modelling vascular networks
Guangyi Hong, Hongyun Peng, Zhi-An Wang +1
This paper is concerned with the existence and stability of phase transition steady states to a quasi-linear hyperbolic-parabolic system of chemotactic aggregation, which was propo…
Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities
Zhi-An Wang, Jiashan Zheng
This paper establishes the global uniform-in-time boundedness of solutions to the following Keller-Setel system with signal-dependent diffusion and chemotaxis \begin{equation}\left…