6 papers
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^…
Global well-posedness of shock front solutions to one-dimensional piston problem for combustion Euler flows
Kai Hu, Jie Kuang
This paper is devoted to the well-posedness theory of piston problem for compressible {combustion} Euler flows with physical ignition condition. A significant combustion phenomena…
Convergence Rate of Hypersonic Similarity for Steady Potential Flows Over Two-Dimensional Lipschitz Wedge
Jie Kuang, Wei Xiang, Yongqian Zhang
This paper is devoted to establishing the convergence rate of the hypersonic similarity for the inviscid steady irrotational Euler flow over a two-dimensional Lipschitz slender wed…
Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle
Feimin Huang, Jie Kuang, Dehua Wang +1
We consider the stability of transonic contact discontinuity for the two-dimensional steady compressible Euler flows in a finitely long nozzle. This is the first work on the mixed-…
Hypersonic Similarity for the Two Dimensional Steady Potential Flow with Large Data
Jie Kuang, Wei Xiang, Yongqian Zhang
In this paper, we establish the first rigorous mathematical global result on the validation of the hypersonic similarity, which is also called the Mach-number independence principl…
Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle
Feimin Huang, Jie Kuang, Dehua Wang +1
In this paper, we study the stability of supersonic contact discontinuity for the two-dimensional steady compressible Euler flows in a finitely long nozzle of varying cross-section…