48 citations · 207 across the 28 of their papers we have counts for
5 papers · 2 filters
Large-amplitude steady solitary water waves with constant vorticity
Susanna V. Haziot, Miles. H. Wheeler
This paper considers two-dimensional steady solitary waves with constant vorticity propagating under the influence of gravity over an impermeable flat bed. Unlike in previous works…
Traveling water waves -- the ebb and flow of two centuries
Susanna V. Haziot, Vera Mikyoung Hur, Walter Strauss +4
This survey covers the mathematical theory of steady water waves with an emphasis on topics that are at the forefront of current research. These areas include: variational characte…
Overhanging and touching waves in constant vorticity flows
Vera Mikyoung Hur, Miles H. Wheeler
We show the existence of periodic traveling waves at the free surface of a two dimensional, infinitely deep, and constant vorticity flow, under gravity, whose profiles are overhang…
Multipole vortex patch equilibria for active scalar equations
Zineb Hassainia, Miles H. Wheeler
We study how a general steady configuration of finitely-many point vortices, with Newtonian interaction or generalized surface quasi-geostrophic interactions, can be desingularized…
Solitary waves in a Whitham equation with small surface tension
Mathew A. Johnson, Tien Truong, Miles H. Wheeler
Using a nonlocal version of the center manifold theorem and a normal form reduction, we prove the existence of small-amplitude generalized solitary-wave solutions and modulated sol…