| Abstract: |
| Discussed will be a class of higher-order models for the one-way propagation of long crested water waves. Such models have appeared often in the literature, but it has proven difficult to provide global well-posedness results for them in the same way as is done for the lower-order KdV- and BBM-type models. Within this class, one discerns a special subclass of Hamiltonian models. It is shown that these do indeed possess the desired well-posedness theory. These models are further investigated numerically and
interesting conjectures emerge.
The report is based on joint work with Xavier Carvajal, Hongqiu Chen, Youngjoon Hong, Ohannes Karakashian, Mahendra Panthee and
Marcia Scialom. |
|