2 papers
math.AP2025
On the one-dimensional piston model with Large Velocity Variations
Dian Hu, Qianfeng Li, Yongqian Zhang
This paper investigates the dynamics of a one-dimensional piston expanding into a static rarefied gas. Using asymptotic analysis in the limit of vanishing initial density, we deriv…
math.AP2025
An Inverse Problem for Multi-Dimensional Piston Models with Large Velocity Variations
Dian Hu, Qianfeng Li, Yongqian Zhang
When a circular symmetric piston suddenly expands into a still gas, a leading shock wave is generated. This paper investigates an inverse problem of reconstructing the trajectory o…