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arXiv · 2311.05489

On the KdV approximation for a Boussinesq equation posed on the infinite necklace graph

Wolf-Patrick Düll·Guido Schneider·Raphael Taraca
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Abstract

We consider a Boussinesq equation posed on the infinite periodic necklace graph. For the description of long wave traveling waves we derive the KdV equation and establish the validity of this formal approximation by providing estimates for the error. The proof is based on suitable energy estimates.

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Wolf-Patrick Düll, Guido Schneider, Raphael Taraca. 2023-11-09. On the KdV approximation for a Boussinesq equation posed on the infinite necklace graph. https://arxiv.org/abs/2311.05489

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