| Abstract: |
| We will present a model for the propagation of gravity water waves, which can be seen as a modification of the so-called Green-Naghdi system, where nonlocal operators (Fourier multipliers) have been inserted. In some sense, the model can be viewed as a fully nonlinear and bidirectional Whitham equation. We will then discuss some basic properties shared by a class of systems including the original Green-Naghdi system and the modified one, namely the well-posedness of the Cauchy problem, and the existence of solitary waves. |
|