122 citations · 221 across the 39 of their papers we have counts for
9 papers · 1 filter
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…
Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary
Luca Battaglia, Aleks Jevnikar, Zhi-An Wang +1
We study conformal metrics with prescribed Gaussian curvature on surfaces with conical singularities and geodesic boundary in supercritical regimes. Exploiting a variational argume…
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…
Large Time Behavior and Diffusion Limit for a System of Balance Laws From Chemotaxis in Multi-dimensions
Tong Li, Dehua Wang, Fang Wang +2
We consider the Cauchy problem for a system of balance laws derived from a chemotaxis model with singular sensitivity in multiple space dimensions. Utilizing energy methods, we fir…
Travelling wave solutions of the density-suppressed motility model
Jing Li, Zhi-An Wang
In this paper, we study the traveling wave solutions to the density-suppressed motility model describing the ``self-trapping'' mechanism that induces spatio-temporal pattern format…
The Keller-Segel system with logistic growth and signal-dependent motility
Hai-Yang Jin, Zhi-An Wang
The paper is concerned with the following chemotaxis system with nonlinear motility functions \begin{equation}\label{0-1}\tag{} \begin{cases} u_t=\nabla \cdot (γ(v)\nabla u-…
Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility
Hai-Yang Jin, Shijie Shi, Zhi-An Wang
We consider the initial-boundary value problem of a system of reaction-diffusion equations with density-dependent motility \begin{equation*}\label{e1}\tag{} \begin{cases} u_t…
A reducing mechanism on wave speed for chemotaxis systems with degenerate diffusion
Shanming Ji, Zhian Wang, Tianyuan Xu +1
This paper is concerned with traveling wave solutions for a chemotaxis model with degenerate diffusion of porous medium type. We establish the existence of semi-finite traveling wa…
On the parabolic-elliptic Keller-Segel system with signal-dependent motilities: a paradigm for global boundedness and steady states
Zhi-An Wang
This paper is concerned with a parabolic-elliptic Keller-Segel system where both diffusive and chemotactic coefficients (motility functions) depend on the chemical signal density.…