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math.AP2024
The global bifurcation of periodic internal waves with point vortex and capillary effect
Dai Guowei, Zhang Yong
In this paper, we first construct two-dimensional periodic interface waves with point vortex and capillary effect and then obtain the global structure of the set of solutions. This…
math.AP2024
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…