1 citations · 1 across the 2 of their papers we have counts for
4 papers
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…
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…
Liouville chains: new hybrid vortex equilibria of the 2D Euler equation
Vikas S. Krishnamurthy, Miles H. Wheeler, Darren G. Crowdy +1
A large class of new exact solutions to the steady, incompressible Euler equation on the plane is presented. These hybrid solutions consist of a set of stationary point vortices em…