39 citations · 46 across the 9 of their papers we have counts for
9 papers
Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis
Qingqing Liu, Hongyun Peng, Zhi-An Wang
In this paper, we are concerned with a quasi-linear hyperbolic-parabolic system of persistence and endogenous chemotaxis modelling vasculogenesis in . Under some suitab…
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…
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 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…
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…
Global classical solution to 3D compressible magnetohydrodynamic equations with large initial data and vacuum
Guangyi Hong, Xiaofeng Hou, Hongyun Peng +1
In this paper, we study the Cauchy problem of the isentropic compressible magnetohydrodynamic equations in . When , together…
Global classical solution to 3D isentropic compressible Navier-Stokes equations with large initial data and vacuum
Xiaofeng Hou, Hongyun Peng, Changjiang Zhu
In this paper, we investigate the existence of a global classical solution to 3D Cauchy problem of the isentropic compressible Navier-Stokes equations with large initial data and v…
Global well-posedness and zero-diffusion limit of classical solutions to the 3D conservation laws arising in chemotaxis
Hongyun Peng, Huanyao Wen, Changjiang Zhu
In this paper, we study the relationship between a diffusive model and a non-diffusive model which are both derived from the well-known Keller-Segel model, as a coefficient of diff…
Convergence Rate of Zero Viscosity Limit on Large Amplitude Solution to a Conservation Laws Arising in Chemotaxis
Hongyun Peng, Lizhi Ruan, Changjiang Zhu
In this paper, we investigate large amplitude solutions to a system of conservation laws which is transformed, by a change of variable, from the well-known Keller-Segel model descr…