7 papers
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 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…
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…
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…
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,…
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…