48 citations · 207 across the 28 of their papers we have counts for
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math.AP2017★ 48 cited
Global bifurcation of rotating vortex patches
Zineb Hassainia, Nader Masmoudi, Miles H. Wheeler
We rigorously construct continuous curves of rotating vortex patch solutions to the two-dimensional Euler equations. The curves are large in that, as the parameter tends to infinit…
math.AP2017★ 9 cited
Existence, nonexistence, and asymptotics of deep water solitary waves with localized vorticity
Robin Ming Chen, Samuel Walsh, Miles H. Wheeler
In this paper, we study solitary waves propagating along the surface of an infinitely deep body of water in two or three dimensions. The waves are acted upon by gravity and capilla…