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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.AP2023★ 1 cited
Desingularization and global continuation for hollow vortices
Robin Ming Chen, Samuel Walsh, Miles H. Wheeler
A hollow vortex is a region of constant pressure bounded by a vortex sheet and suspended inside a perfect fluid; it can therefore be interpreted as a spinning bubble of air in wate…