5 citations · 6 across the 5 of their papers we have counts for
6 papers
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…