### Validity and non-validity of the NLS approximation for the water wave problem - Recent developments and open problems

**Schneider, G ***(Universität Stuttgart)*

Wednesday 23 July 2014, 11:15-12:00

Seminar Room 1, Newton Institute

#### Abstract

We consider the 2D water wave problem in case of finite depth with and without surface tension. We are interested in the validity of the NLS approximation for the description of surface water waves. After giving an overview about positive results we explain that in case of small surface tension there are situations where the NLS approximation fails
to describe the water wave problem correctly.

#### Video

This talk has not been recorded because the speaker withheld their permission.