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math.AP2024
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…
math.AP2024
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^…
math.AP2024
The Morawetz Problem for Supersonic Flow with Cavitation
Gui-Qiang G. Chen, Tristan P. Giron, Simon M. Schulz
We are concerned with the existence and compactness of entropy solutions of the compressible Euler system for two-dimensional steady potential flow around an obstacle for a polytro…