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

Presented by: 
G Schneider Universität Stuttgart
Date: 
Wednesday 23rd July 2014 - 11:15 to 12:00
Venue: 
INI Seminar Room 1
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.
University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons