Title: On Whitham and related equations,
Abstract: The aim of this paper is to study, via theoretical analysis and numerical
simulations, the dynamics of Whitham and related equations. In particular we
establish rigorous bounds between solutions of the Whitham and KdV equations
and provide some insights into the dynamics of the Whitham equation in
different regimes, some of them being outside the range of validity of the
Whitham equation as a water waves model.