3 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…
math.NA2021
Computability of magnetic Schrödinger and Hartree equations on unbounded domains
Simon Becker, Jonathan Sewell, Euan Tebbutt
We study the computability of global solutions to linear Schrödinger equations with magnetic fields and the Hartree equation on . We show that the solution can always…