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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…