" An exceptionally complete overview. There are numerous examples and the emphasis is
on applications to almost all areas of science and engineering. There is truly something for …

Wave Interactions and Fluid Flows is a coherent, up-to-date and comprehensive account of
theory and experiment on wave-interaction phenomena, both in fluids at rest and in shear …

This book is the written and somewhat expanded version of the author's lectures delivered at
the NSF-CBMS international research conference organized at the Mathematics Department …

Analyzing a free boundary problem for harmonic functions we show that there are no closed
particle paths in an irrotational inviscid traveling wave propagating at the surface of water …

1. Introduction 1 2. The water-wave problem 5 3. Stokes waves on deep water 6 4.
Regularity of the free surface 7 5. Properties of Stokes waves 10 6. The hodograph …

We consider the classical water wave problem described by the Euler equations with a free
surface under the influence of gravity over a flat bottom. We construct two‐dimensional …

Rabinowitz's classical global bifurcation theory, which concerns the study in-the-large of
parameter-dependent families of nonlinear equations, uses topological methods that …

In this paper we settle a question of the regularity, at one exceptional point, of the free
boundary in a problem governed by the Laplace equation and a non-linear boundary …

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 …

This paper studies periodic traveling gravity waves at the free surface of water in a flow of
constant vorticity over a flat bed. Using conformal map**s the free-boundary problem is …