8 papers · 1 filter
Steady supersonic combustion flows with a contact discontinuity in two-dimensional finitely long nozzles
Junlei Gao, Feimin Huang, Jie Kuang +2
In this paper, we are concerned with the two-dimensional steady supersonic combustion flows with a contact discontinuity moving through a nozzle of finite length. Mathematically, i…
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^…
Hypersonic Similarity for Steady Compressible Full Euler Flows Over Two-Dimensional Lipschitz Wedges
Gui-Qiang G. Chen, Jie Kuang, Wei Xiang +1
We establish the optimal convergence rate to the hypersonic similarity law, which is also called the Mach number independence principle, for steady compressible full Euler flows ov…
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-…