1 citations · 1 across the 9 of their papers we have counts for
10 papers
Continuous sonic-supersonic flows in two-dimensional infinitely long divergent nozzles
Lili Qian, Chunpeng Wang, Zihao Zhang
This paper concerns continuous sonic-supersonic flows in a two-dimensional infinitely long divergent nozzle with straight solid walls. For a given inlet that is a small perturbatio…
Subsonic time-periodic solutions to radially symmetric spiral flows in an annulus
Huimin Yu, Zihao Zhang
We investigate subsonic time-periodic solutions to the radially symmetric non-isentropic Euler system with nonzero angular velocity in an annulus. Under the assumption that the bou…
Transonic shocks for steady Euler flows with rotating effect in two-dimensional almost flat nozzles
Zihao Zhang
We address the existence and stability of transonic shocks for the two-dimensional steady rotating Euler system in an almost flat nozzle. Under the influence of the Coriolis force,…
Supersonic Euler-Poisson flows with nonzero vorticity in convergent nozzles
Yuanyuan Xing, Zihao Zhang
This paper concerns supersonic flows with nonzero vorticity governed by the steady Euler-Poisson system, under the coupled effects of the electric potential and the geometry of a c…
Structural stability of supersonic spiral flows with large angular velocity for the Euler-Poisson system
Chunpeng Wang, Zihao Zhang
This paper concerns the structural stability of smooth cylindrically symmetric supersonic spiral flows with large angular velocity for the steady Euler-Poisson system in a concentr…
Subsonic Euler-Poisson flows with nonzero vorticity in convergent nozzles
Yuanyuan Xing, Zihao Zhang
This paper concerns the well-posedness of subsonic Euler-Poisson flows in a convergent nozzle. Due to the geometry of the nozzle, we first introduce a coordinate transformation to…
Structural stability of cylindrical supersonic solutions to the steady Euler-Poisson system
Chunpeng Wang, Zihao Zhang
This paper concerns the structural stability of smooth cylindrically symmetric supersonic Euler-Poisson flows in nozzles. Both three-dimensional and axisymmetric perturbations are…
Transonic shocks for three-dimensional axisymmetric Euler flows with an external force in a perturbed cylinder
Zihao Zhang
We establish the existence and stability of the transonic shock solution to three-dimensional axisymmetric Euler system with an external force in a cylinder under perturbations of…
Structural stability of three dimensional transonic shock flows with an external force
Shangkun Weng, Zihao Zhang, Yan Zhou
We establish the existence and uniqueness of the transonic shock solution for steady isentropic Euler system with an external force in a rectangular cylinder under the three-dimens…
Two dimensional subsonic and subsonic-sonic spiral flows outside a porous body
Shangkun Weng, Zihao Zhang
In this paper, we investigate two dimensional subsonic and subsonic-sonic spiral flows outside a porous body. The existence and uniqueness of the subsonic spiral flow are obtained…