4 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…
Well-Posedness and Asymptotic Decay of Solutions to the Three-Dimensional Euler Equations with Damping
Gui-Qiang G. Chen, Feimin Huang, Houzhi Tang +2
The global well-posedness of the multi-dimensional compressible Euler equations with damping remains a longstanding open problem. This problem has been partially resolved in the is…
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…
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…