29 citations · 144 across the 24 of their papers we have counts for
28 papers
Compressible steady water waves
Abba Ramadan, Samuel Walsh
In this paper, we consider the existence of small- and large-amplitude compressible water waves. These are solutions of the two-dimensional free boundary isentropic Euler equations…
Existence and stability of capillary-gravity wave-borne vortices
Gregory Slease, Samuel Walsh, Runzhang Zhong
In this paper, we consider the existence and stability of waves progressing through a finite-depth two-dimensional body of water that carry a vortex in their bulk. The waves are ac…
Global bifurcation of hollow vortex streets
Vasileios N. Oikonomou, Samuel Walsh
Vortex streets are periodic configurations of vortices propagating through an irrotational flow. In this paper, we study streets of hollow vortices, which are solutions to the free…
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…
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…
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…