60 citations · 194 across the 18 of their papers we have counts for
19 papers
Geometric Structures of Pseudo-Sonic Curves in Self-Similar Solutions of the Euler Equations for Potential Flow
Gui-Qiang G. Chen, Mikhail Feldman, Xin Gao +1
We are concerned with the geometric structures of pseudo-sonic curves in two-dimensional self-similar solutions for the Euler equations for potential flow, allowing for non-uniform…
Low Regularity of Self-Similar Solutions of Two-Dimensional Riemann problems with Shocks for the Isentropic Euler system
Gui-Qiang G. Chen, Mikhail Feldman, Wei Xiang
We are concerned with the low regularity of self-similar solutions of two-dimensional Riemann problems for the isentropic Euler system. We establish a general framework for the ana…
Multidimensional Transonic Shock Waves and Free Boundary Problems
Gui-Qiang G. Chen, Mikhail Feldman
We are concerned with free boundary problems arising from the analysis of multidimensional transonic shock waves for the Euler equations in compressible fluid dynamics. In this exp…
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…
Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems
Myoungjean Bae, Gui-Qiang G. Chen, Mikhail Feldman
We are concerned with the Prandtl-Meyer reflection configurations of unsteady global solutions for supersonic flow impinging upon a symmetric solid wedge. Prandtl (1936) first empl…
Geodesic Convexity of Small Neighborhood in the Space of Kähler Potentials
Xiuxiong Chen, Mikhail Feldman, Jingchen Hu
We show that, given , , any point in space of non-degenerate smooth Kähler potentials has a small neighborhood with respect to norm…