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math.AP2026
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…
math.AP2025
Global Martingale Entropy Solutions to the Stochastic Isentropic Euler Equations
Gui-Qiang G. Chen, Feimin Huang, Danli Wang
We establish the existence and compactness of global martingale entropy solutions with finite relative-energy for the stochastically forced system of isentropic Euler equations gov…
math.AP2025
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…