2 papers
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…
math.AP2023
Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel
Karsten Matthies, Jonathan Sewell, Miles H. Wheeler
We consider a two-dimensional, two-layer, incompressible, steady flow, with vorticity which is constant in each layer, in an infinite channel with rigid walls. The velocity is cont…