Fangfang Liao

On the short-wavelength stability and the Kelvin–Helmholtz instability of some explicit solutions to the two-layer nonlinear three-dimensional water wave problem

Abstract This study is concerned with explicit solutions in the Eulerian framework to the three-dimensional nonlinear Euler equations with a free surface and an interface. Starting with a depth-dependent density, continuous within the fluid domain, except across the interface, we...