3 papers
physics.flu-dyn2025
A classification of mode-1 internal solitary waves in a three-layer fluid
Ricardo Barros, Alex Doak, Wooyoung Choi +1
We explore the bifurcation structure of mode-1 solitary waves in a three-layer fluid confined between two rigid boundaries. A recent study (Lamb, J. Fluid Mech. 2023, 962, A17) pro…
math.AP2025
Large-amplitude periodic solutions to the steady Euler equations with piecewise constant vorticity
Alex Doak, Karsten Matthies, Jonathan Sewell +1
We consider steady solutions to the incompressible Euler equations in a two-dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity sep…
physics.flu-dyn2025
Stokes waves in rotational flows: internal stagnation and overhanging profiles
Alex Doak, Vera Mikyoung Hur, Jean-Marc Vanden-Broeck
Periodic travelling waves at the free surface of an incompressible inviscid fluid in two dimensions under gravity are numerically computed for an arbitrary vorticity distribution.…