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

Posted by Christof Sparber , part of the Analysis and Applied Mathematics Seminar.

At

March 4, 2024, 4 p.m.

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636 SEO

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.)