122 citations · 221 across the 39 of their papers we have counts for
9 papers · 1 filter
Global weak solutions and asymptotics of a singular PDE-ODE chemotaxis system with discontinuous data
Hongyun Peng, Zhi-An Wang, Changjaing Zhu
This paper is concerned with the well-posedness and large-time behavior of a two dimensional PDE-ODE hybrid chemotaxis system describing the initiation of tumor angiogenesis. We fi…
Critical mass on the Keller-Segel system with signal-dependent motility
Hai-Yang Jin, Zhi-An Wang
This paper is concerned with the global boundedness and blowup of solutions to the Keller-Segel system with density-dependent motility in a two-dimensional bounded smooth domain wi…
Boundary-layer profile of a singularly perturbed non-local semi-linear problem arising in chemotaxis
Chiun-Chang Lee, Zhian Wang, Wen Yang
This paper is concerned with the following singularly perturbed non-local semi-linear problem \begin{equation} \label{h} \tag{} \begin{cases} \varepsilon^2 Δu=\frac{m}{\int_Ω…
On a Parabolic-Hyperbolic Chemotaxis System with Discontinuous Data: Well-posedness, Stability and Regularity
Hongyun Peng, Zhian Wang
The global dynamics and regularity of parabolic-hyperbolic systems is an interesting topic in PDEs due to the coupling of competing dissipation and hyperbolic effects. This paper i…
Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space
Jingyu Li, Zhian Wang
This paper is concerned with the asymptotic stability of the initial-boundary value problem of a singular PDE-ODE hybrid chemotaxis system in the half space . We…
Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability
Jose A Carrillo, Jingyu Li, Zhian Wang
We exploit the existence and nonlinear stability of boundary spike/layer solutions of the Keller-Segel system with logarithmic singular sensitivity in the half space, where the phy…
Global dynamics and spatio-temporal patterns of predator-prey systems with density-dependent motion
Hai-Yang Jin, Zhi-An Wang
In this paper, we investigate the global boundedness, asymptotic stability and pattern formation of predator-prey systems with density-dependent preytaxis in a two-dimensional boun…
Global stabilization of the full attraction-repulsion Keller-Segel system
Hai-Yang Jin, Zhi-An Wang
We are concerned with the following full Attraction-Repulsion Keller-Segel (ARKS) system \begin{equation}\label{ARKS}\tag{} \begin{cases} u_t=Δu-\nabla\cdot(χu\nabla v)+\nabl…
Phase transitions and bump solutions of the Keller-Segel model with volume exclusion
Jose A. Carrillo, Xinfu Chen, Qi Wang +2
We show that the Keller-Segel model in one dimension with Neumann boundary conditions and quadratic cellular diffusion has an intricate phase transition diagram depending on the ch…