3 papers
math.AP2026
On the Well-Posedness of Periodic Strong Transonic Shocks in Divergent Nozzles
Peng Qu, Jiahui Wang, Huimin Yu +1
This paper studies the existence and dynamical stability of temporal periodic solutions involving strong transonic shocks for the quasi--one--dimensional full compressible Eu…
math.AP2026
The relaxation limit of a homogeneous two-phase flow model: isothermal case
Huimin Yu
This paper investigates the asymptotic behavior of a hyperbolic relaxation system designed for homogeneous two-phase flows in the limit of vanishing relaxation time. The governing…
math.AP2025
Time-periodic transonic shock solution in divergent nozzles
Xiaomin Zhang, Peng Qu, Huimin Yu
We demonstrate that it is possible to control a normal transonic shock to move periodically by adjusting the boundary conditions at the entrance or the exit of the tube, for which,…