1 citations · 1 across the 3 of their papers we have counts for
3 papers
Vortex-carrying solitary gravity waves of large amplitude
Robin Ming Chen, Kristoffer Varholm, Samuel Walsh +1
In this paper, we study two-dimensional traveling waves in finite-depth water that are acted upon solely by gravity. We prove that, for any supercritical Froude number (non-dimensi…
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…
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…