3 papers
math.AP2026
On two-dimensional steady compactly supported Euler flows with constant vorticity
Changfeng Gui, Jun Wang, Wen Yang +1
In this paper, we study the two-dimensional steady compactly supported incompressible Euler equations with free boundaries. We consider flows with constant vorticity that are pertu…
math.AP2025
Bifurcation analysis of Stokes waves with piecewise smooth vorticity in deep water
Changfeng Gui, Jun Wang, Wen Yang +1
In this paper, we establish the existence of Stokes waves with piecewise smooth vorticity in a two-dimensional, infinitely deep fluid domain. These waves represent traveling water…
math.AP2024
Non-uniqueness of Leray weak solutions of the forced MHD equations
Jun Wang, Fei Xu, Yong Zhang
In this paper, we exhibit non-uniqueness of Leray weak solutions of the forced magnetohydrodynamic (MHD for short) equations. Similar to the solutions constructed in \cite{ABC2}, w…