146 citations · 1.2k across the 77 of their papers we have counts for
4 papers · 2 filters
On Admissible Locations of Transonic Shock Fronts for Steady Euler Flows in an Almost Flat Finite Nozzle with Prescribed Receiver Pressure
Beixiang Fang, Zhouping Xin
This paper concerns the existence of transonic shock solutions to the 2-D steady compressible Euler system in an almost flat finite nozzle ( in the sense that it is a generic small…
Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle
Shangkun Weng, Chunjing Xie, Zhouping Xin
In this paper, we prove the structural stability of the transonic shocks for three dimensional axisymmetric Euler system with swirl velocity under the perturbations for the incomin…
On an Elliptic Free Boundary Problem and Subsonic Jet Flows for a Given Surrounding Pressure
Chunpeng Wang, Zhouping Xin
This paper concerns compressible subsonic jet flows for a given surrounding pressure from a two-dimensional finitely long convergent nozzle with straight solid wall, which are gove…
Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-d convex scalar viscous conservation laws
Zhouping Xin, Qian Yuan, Yuan Yuan
This paper studies the asymptotic stability of shock profiles and rarefaction waves under space-periodic perturbations for one-dimensional convex scalar viscous conservation laws.…