5 papers · 1 filter
An Inverse Problem for Determining the Piston Speed from a Given Lipschitz Leading Shock
Gui-Qiang G. Chen, Qianfeng Li, Yun Pu +1
We analyze an inverse problem for determining the piston speed and the associated flow field from a prescribed leading shock and the initial data in a shock tube. The gas flow is d…
Weak-Strong Uniqueness for a Rigid Body Immersed in an Inviscid Compressible Fluid
Qianfeng Li, Emil Wiedemann
We consider the coupled motion of a free rigid body immersed in an inviscid compressible isentropic fluid. By means of a vanishing viscosity limit, we obtain the local-in-time exis…
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…
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…
Hypersonic limit for steady compressible Euler flows passing straight cones
Qianfeng Li, Aifang Qu, Xueying Su +1
We investigate the hypersonic limit for steady, uniform, and compressible polytropic gas passing a symmetric straight cone. By considering Radon measure solutions, we show that as…