activity
20152024
most citedStability of Conical Shocks in the Three-Dimensional Steady Supersonic Isothermal Flows past Lipschitz Perturbed Cones

15 citations · 18 across the 9 of their papers we have counts for

collaborators

10 papers

math.AP2024

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…

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.AP2023★ 1 cited

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…

math.AP2022

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…

math.AP2021

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…

math.AP2020

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-…

math.AP2020★ 15 cited

Stability of Conical Shocks in the Three-Dimensional Steady Supersonic Isothermal Flows past Lipschitz Perturbed Cones

Gui-Qiang G. Chen, Jie Kuang, Yongqian Zhang

We are concerned with the structural stability of conical shocks in the three-dimensional steady supersonic flows past Lipschitz perturbed cones whose vertex angles are less than t…

math.AP2019

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…

math.AP2018★ 1 cited

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…

math.AP2015★ 1 cited

Two-Dimensional Steady Supersonic Exothermically Reacting Euler Flow past Lipschitz Bending Walls

Gui-Qiang Chen, Jie Kuang, Yongqian Zhang

We are concerned with the two-dimensional steady supersonic reacting Euler flow past Lipschitz bending walls that are small perturbations of a convex one, and establish the existen…