| Abstract: |
| In this talk we will present some results about the propagation of waves such as those sometimes observed in canals and in near-shore zones of large bodies of water.
A special interest will also be on waves arising in bore propagation, when a surge of water invades an otherwise constantly flowing river.
The results are developed in the context of Boussinesq models, so they are applicable to waves that have small amplitude and long wave length when compared with the undisturbed depth.
We will discuss the theory of well-posednses results on the long, Boussinesq time scale.
In the case of bore propagation, where the mass of water has an infinite energy a priori, we will show how to use suitable approximations with which to compare the full solution.
References.
Propagation of long-crested water waves, Discrete Cont. Dynamical Systems, Series A, 33 (2013), 599-628.
Propagation of long-rested water waves. II. Bore propagation, to appear in Discrete Cont. Dynamical Systems, Series A. |
|