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math.AP2026
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…
math.AP2026
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…
math.AP2026
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,…