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20172023
most citedTwo-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over Lipschitz wall

2 citations · 6 across the 6 of their papers we have counts for

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Showing 2019 · math.APShow all

5 papers · 2 filters

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.AP2019

Detached shock past a blunt body

Myoungjean Bae, Wei Xiang

In , a symmetric blunt body is fixed by smoothing out the tip of a symmetric wedge with the half-wedge angle . We first show that if a hori…

math.AP2019

Uniqueness and Stability for the Shock Reflection-Diffraction Problem for Potential Flow

Gui-Qiang G. Chen, Mikhail Feldman, Wei Xiang

When a plane shock hits a two-dimensional wedge head on, it experiences a reflection-diffraction process, and then a self-similar reflected shock moves outward as the original shoc…

math.AP20192 cited

Low Mach Number Limit of Multidimensional Steady Flows on the Airfoil Problem

Mingjie Li, Tian-Yi Wang, Wei Xiang

In this paper, we justify the low Mach number limit of the steady irrotational Euler flows for the airfoil problem, which is the first result for the low Mach number limit of the s…

math.AP20192 cited

Low Mach Number Limit of Steady Euler Flows in Multi-Dimensional Nozzles

Mingjie Li, Tian-Yi Wang, Wei Xiang

In this paper, we consider the steady irrotational Euler flows in multidimensional nozzles. The first rigorous proof on the existence and uniqueness of the incompressible flow is p…