## Analysis and Applied Mathematics Seminar

Colette Guillope

Paris 12 Val de Marne University

Global well-posedness for a second order model for surface water waves.

**Abstract:**A second-order correct model for unidirectional water wave propagation in a channel is analysed. Earlier work showed this model to be well-posed in physically relevant regimes for auxiliary data in the Sobolev space $H^2$. The present theory shows global well-posedness in $H^1$. (This is joint work with J. Bona and H. Chen.)

Monday March 4, 2024 at 4:00 PM in 636 SEO