3 papers
math.AP2026
Existence of detonation wave solutions to the piston problem for the Zeldovich-von Neumann-D{ö}ring combustion model
Xiaomin Zhang, Huimin Yu
In this paper, we study detonation wave solutions to one-dimensional piston problem for the Zeldovich-von Neumann-D{ö}ring (ZND) combustion model with a one-step exothermic chemic…
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,…