4 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.…
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…
Periodic travelling interfacial electrohydrodynamic waves: bifurcation and secondary bifurcation
Dai Guowei, Xu Fei, Zhang Yong
In this paper, two-dimensional periodic capillary-gravity waves travelling under the effect of a vertical electric field are considered. The full system is a nonlinear, two-layered…