48 citations · 207 across the 28 of their papers we have counts for
4 papers · 2 filters
Extreme internal waves: gravity currents and overturning fronts
Robin Ming Chen, Samuel Walsh, Miles H. Wheeler
Hydrodynamic bores are front-type traveling wave solutions to the two-layer free boundary Euler equations in two dimensions. The velocity field in each layer is assumed to be incom…
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane
Miles H. Wheeler
In this note we construct smooth bounded domains , other than disks, for which the overdetermined problem $$ \left\{ \begin{alignedat}{2} Δu + λu &= 0 &\qquad…
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…
Finite-time self-similar implosion of hollow vortices
Robin Ming Chen, Samuel Walsh, Miles H. Wheeler
In this paper, we consider the finite-time blowup of hollow vortices. These are solutions of the two-dimensional Euler equations for which the fluid domain is the complement of fin…