4 papers
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…
On Inverse Problems for Two-Dimensional Steady Supersonic Euler Flows past Curved Wedges
Gui-Qiang G. Chen, Yun Pu, Yongqian Zhang
We are concerned with the well-posedness of an inverse problem for determining the wedge boundary and associated two-dimensional steady supersonic Euler flow past the wedge, provid…
Convergence Rate of the Hypersonic Similarity for Two-Dimensional Steady Potential Flows with Large Data
Gui-Qiang G. Chen, Jie Kuang, Wei Xiang +1
We establish the optimal convergence rate of the hypersonic similarity for two-dimensional steady potential flows with {\it large data} past over a straight wedge in the $BV\cap L^…
Stability of Inverse Problems for Steady Supersonic Flows Past Lipschitz Perturbed Cones
Gui-Qiang G. Chen, Yun Pu, Yongqian Zhang
We are concerned with inverse problems for supersonic potential flows past infinite axisymmetric Lipschitz cones. The supersonic flows under consideration are governed by the stead…