The presence of electric fields in immiscible multifluid flows induces Maxwell stresses at
sharp interfaces that can produce electrohydrodynamic phenomena of practical importance …

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 …

Free surface problems occur in many aspects of science and of everyday life such as the
waves on a beach, bubbles rising in a glass of champagne, melting ice, pouring flows from a …

In this paper, the unsteady evolution of two-dimensional fully nonlinear free-surface gravity–
capillary solitary waves is computed numerically in infinite depth. Gravity–capillary …

Solutions of the nonlinear water wave equations under an ice sheet are computed using a
boundary integral equation method. The ice sheet is modelled as a thin elastic plate and the …

In this short note, we present an easy to implement and fast algorithm for the computation of
the steady solitary gravity wave solution of the free surface Euler equations in irrotational …

Methods for the numerical computation of freely propagating irrotational water waves are
reviewed. The emphasis is on the methods, not on the results. The primary focus is on …

The surface gravity wave pattern that forms behind a steadily moving disturbance is well
known to comprise divergent waves and transverse waves, contained within a distinctive …

A model equation governing the primitive dynamics of wave packets near an extremum of
the linear dispersion relation at finite wavenumber is derived. In two spatial dimensions, we …

Two-dimensional (plane) solitary waves on the surface of water are known to bifurcate from
linear sinusoidal wavetrains at specific wavenumbers in water of finite or infinite depth; like …