185 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of Electronic Science and Technology of ChinaCN23 papers
- Sichuan UniversityCN18 papers
- University of Hong KongHK11 papers
- London School of Economics and Political ScienceGB9 papers
- Southwest Jiaotong UniversityCN9 papers
- University of GroningenNL8 papers
- Hong Kong Polytechnic UniversityHK6 papers
- The University of MelbourneAU6 papers
- University of PittsburghUS6 papers
- Chengdu UniversityCN5 papers
- Chinese Academy of SciencesCN5 papers
- Hong Kong University of Science and TechnologyHK5 papers
20 papers · 1 filter
Exponential stability for a nonlinear porous-elastic system with delay
M. J. Dos Santos, C. A. Raposo, L. G. R. Miranda +1
In this work, we consider the existence of global solution and the exponential decay of a nonlinear porous elastic system with time delay. The nonlinear term as well as the delay a…
The free boundary of steady axisymmetric inviscid flow with vorticity I: near the degenerate point
Lili Du, Jinli Huang, Yang Pu
In this paper, we investigate the singularity near the degenerate points of the steady axisymmetric flow with general vorticity of an inviscid incompressible fluid acted on by grav…
Weak solutions to the stationary Cahn-Hillard/Navier-Stokes equations for compressible fluids
Zhilei Liang, Dehua Wang
We are concerned with the Cahn-Hilliard/Navier-Stokes equations for the stationary compressible flows in a three-dimensional bounded domain. The governing equations consist of the…
Stationary Cahn-Hilliard-Navier-Stokes equations for the diffuse interface model of compressible flows
Zhilei Liang, Dehua Wang
A system of partial differential equations for a diffusion interface model is considered for the stationary motion of two macroscopically immiscible, viscous Newtonian fluids in a…
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…
Energy equality in compressible fluids with physical boundaries
Robin Ming Chen, Zhilei Liang, Dehua Wang +1
We study the energy balance for weak solutions of the three-dimensional compressible Navier--Stokes equations in a bounded domain. We establish an - regularity conditions…
Vanishing pressure limit for compressible Navier-Stokes equations with degenerate viscosities
Zhilei Liang
In this paper we study a vanishing pressure process for highly compressible Navier-Stokes equations as the Mach number tends to infinity. We first prove the global existence of wea…
A nonhomogeneous boundary value problem for the Kuramoto-Sivashinsky equation in a quarter plane
Jing Li, Bing-Yu Zhang, Zhixiong Zhang
We study the initial boundary value problem for one-dimensional Kuramoto-Sivashinsky equation with nonhomogeneous boundary conditions. Through the analysis of the boundary integral…
Global well-posedness of advective Lotka-Volterra competition systems with nonlinear diffusion
Qi Wang, Jingyue Yang, Feng Yu
This paper investigates the global well-posedness of a class of reaction-advection-diffusion models with nonlinear diffusion and Lotka-Volterra dynamics. We prove the existence and…
Stationary and time periodic patterns of two-predator and one-prey systems with prey-taxis
Ke Wang, Qi Wang, Feng Yu
This paper concerns pattern formation in a class of reaction-advection-diffusion systems modeling the population dynamics of two predators and one prey. We consider the biological…
Time-periodic and stable patterns of a two-competing-species Keller-Segel chemotaxis model: effect of cellular growth
Qi Wang, Jingyue Yang, Lu Zhang
This paper investigates the formation of time--periodic and stable patterns of a two--competing--species Keller--Segel chemotaxis model with a focus on the effect of cellular growt…
Stationary patterns and their selection mechanism of Urban crime models with heterogeneous near-repeat victimization effect
Yu Gu, Qi Wang, Guangzeng Yi
In this paper, we study two PDEs that generalize the urban crime model proposed by Short \emph{et al}. [Math. Models Methods Appl. Sci., 18 (2008), pp. 1249-1267]. Our modification…
Existence and stability of nonconstant positive steady states of morphogenesis models
Haohao Chen, Bo Tong, Qi Wang
In this paper, We study an one--dimensional morphogenesis model considered by C. Stinner et al. in (Math. Meth. Appl. Sci. 2012,35 (445-465). Under homogeneous boundary conditions,…
Pattern formation in a Keller-Segel chemotaxis model with logistic growth
Ling Jin, Qi Wang, Zengyan Zhang
In this paper we investigate pattern formation in Keller--Segel chemotaxis models over a multi--dimensional bounded domain subject to homogeneous Neumann boundary conditions. It is…
Global existence and steady states of a two competing species Keller-Segel chemotaxis model
Jia Hu, Qi Wang, Jingyue Yang +1
We study an one{dimensional quasilinear system proposed by J. Tello and M. Winkler [19] which models the population dynamics of two competing species attracted by the same chemical…
Some Uniform Estimates and Large-Time Behavior for One-Dimensional Compressible Navier-Stokes System in Unbounded Domains with Large Data
Jing Li, Zhilei Liang
This paper is concerned with the large-time behavior of solutions to the initial and initial boundary value problems with large initial data for the compressible Navier-Stokes syst…
Qualitative analysis of a Lotka-Volterra competition system with advection
Chunyi Gai, Qi Wang, Jingda Yan
We study a diffusive Lotka-Volterra competition system with advection under Neumann boundary conditions. Our system models a competition relationship that one species escape from t…
Qualitative analysis of stationary Keller-Segel chemotaxis models with logistic growth
Qi Wang, Jingda Yan, Chunyi Gai
We study the stationary Keller--Segel chemotaxis models with logistic cellular growth over a one-dimensional region subject to the Neumann boundary condition. We show that nonconst…
Boundary spikes of a Keller-Segel chemotaxis system with saturated logarithmic sensitivity
Qi Wang
In this paper, we study the nonconstant positive steady states of a Keller-Segel chemotaxis system over a bounded domain , . The sensitivity functio…
On Classical Solutions to the Cauchy Problem of the Two-Dimensional Barotropic Compressible Navier-Stokes Equations with Vacuum
Jing Li, Zhilei Liang
This paper concerns the Cauchy problem of the barotropic compressible Navier-Stokes equations on the whole two-dimensional space with vacuum as far field density. In particular, th…