Rectifying a deep water model for water waves.
Event details
| Date | 29.04.2022 |
| Hour | 14:15 › 15:15 |
| Speaker | Prof. Vincent Duchêne, Universiy of Rennes (France). |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
In this talk we will discuss the "WW2" model obtained when retaining only quadratic nonlinearities to the water waves system under the Zakharov/Craig-Sulem formulation. We will first argue that the initial-value problem is (most certainly) ill-posed in finite-regularity functional spaces, and precisely point out the underlying instability mechanism. Based on this analysis, we will propose a non-invasive regularization procedure which allows to recover all desired properties from the modelling point of view.
The discussion will be based on a joint work with Benjamin Melinand.
Practical information
- Informed public
- Free
Organizer
- B. Buffoni
Contact
- B. Buffoni