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

Published 9 Nov 2023 in math.AP | (2311.05489v1)

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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