5 papers
On the annular overdetermined problems with linear and power nonlinearities in
Jun Wang, Fei Xu, Yong Zhang
In this paper, we study two classes of partially overdetermined elliptic problems on planar annular domains in , with a fixed inner circle and a free outer boundary.…
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…
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…
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…
The existence of stratified linearly steady two-mode water waves with stagnation points
Wang Jun, Xu Fei, Zhang Yong
This paper focuses on the analysis of stratified steady periodic water waves that contain stagnation points. The initial step involves transforming the free-boundary problem into a…