5 papers
Smooth helically symmetric transonic flows with nonzero vorticity in a concentric cylinder
Yi Ke, Shangkun Weng
This paper concerns the structural stability of smooth cylindrical symmetric transonic flows in a concentric cylinder under helically symmetric perturbation of suitable boundary co…
Subsonic Euler flows in a three-dimensional finitely long cylinder with arbitrary cross section
Shangkun Weng, Changkui Yao
This paper concerns the well-posedness of subsonic flows in a three-dimensional finitely long cylinder with arbitrary cross section. We establish the existence and uniqueness of su…
Smooth axisymmetric transonic irrotational flows to the steady Euler equations with an external force
Shangkun Weng, Yan Zhou
For a class of external forces, we prove the existence and uniqueness of smooth transonic flows to the one dimensional steady Euler system with an external force, which is subsonic…
Smooth Subsonic and Transonic Flows with Nonzero Angular Velocity and Vorticity to steady Euler-Poisson system in a Concentric Cylinder
Shangkun Weng, Wengang Yang, Na Zhang
In this paper, both smooth subsonic and transonic flows to steady Euler-Poisson system in a concentric cylinder are studied. We first establish the existence of cylindrically symme…
Subsonic flows with a contact discontinuity in a finitely long axisymmetric cylinder
Shangkun Weng, Zihao Zhang
This paper concerns the structural stability of subsonic flows with a contact discontinuity in a finitely long axisymmetric cylinder. We establish the existence and uniqueness of a…