We revisit the classical but as yet unresolved problem of predicting the breaking onset of 2D
and 3D irrotational gravity water waves. Based on a fully nonlinear 3D boundary element …

We consider the 2D isentropic compressible Euler equations, with pressure law p (ρ)=(1 γ) ρ
γ, with γ> 1. We provide an elementary constructive proof of shock formation from smooth …

We survey rigorous, formal and numerical results on the formation of point-like singularities
(or blow-up) for a wide range of evolution equations. We use a similarity transformation of …

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations Page
1 Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations …

The formation of rogue waves is studied in the framework of nonlinear hyperbolic systems
with an application to nonlinear shallow-water waves. It is shown that the nonlinearity in the …

We revisit the classical but as yet unresolved problem of predicting the strength of breaking
2-D and 3-D gravity water waves, as quantified by the amount of wave energy dissipated per …

If a weir is dragged through a wave flume, the upstream flow takes the form of an undular
bore propagating ahead of the weir. It was found previously in the work of Wilkinson and …

A new method is proposed for simulating the energy dissipation resulting from depth-limited
wave breaking, in combination with a universal breaking onset criterion, in two-dimensional …

In this paper, we study the inviscid limit of the Sabra shell model of turbulence, which is
considered as a particular case of a viscous conservation law in one space dimension with a …

New shallow-water equations (SWEs), for sloshing in three dimensions (two horizontal and
one vertical) in a vessel which is undergoing rigid-body motion in 3-space, are derived. The …