3 citations · 5 across the 6 of their papers we have counts for
6 papers
Global Stability of Steady Transonic Euler Shocks in Quasi-One-Dimensional Nozzles
Jeffrey Rauch, Chunjing Xie, Zhouping Xin
We prove global in time dynamical stability of steady transonic shock solutions in divergent quasi-one-dimensional nozzles. We assume neither the smallness of the relative slope of…
Existence of Steady Subsonic Euler Flows through Infinitely Long Periodic Nozzles
Chao Chen, Chunjing Xie
In this paper, we study the global existence of steady subsonic Euler flows through infinitely long nozzles which are periodic in direction with the period . It is shown t…
Analysis and simulations of a Viscoelastic Model of Angiogenesis
Chunjing Xie, Xiaoming Zheng
The work analyzes a one-dimensional viscoelastic model of blood vessel growth under nonlinear friction with surroundings, and provides numerical simulations for various growing cas…
Existence of Global Steady Subsonic Euler Flows through Infinitely Long Nozzles
Chunjing Xie, Zhouping Xin
In this paper, we study the global existence of steady subsonic Euler flows through infinitely long nozzles without the assumption of irrotationality. It is shown that when the var…
Global Subsonic and Subsonic-Sonic Flows through Infinitely Long Axially Symmetric Nozzles
Chunjing Xie, Zhouping Xin
In this paper, we establish existence of global subsonic and subsonic-sonic flows through infinitely long axially symmetric nozzles by combining variational method, various ellipti…
On the Classical Solutions of Two Dimensional Inviscid Rotating Shallow Water System
Bin Cheng, Chunjing Xie
We prove global existence and asymptotic behavior of classical solutions for two dimensional inviscid Rotating Shallow Water system with small initial data subject to the zero-rela…