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The validity of the kdv approximation in case of resonances arising from periodic media

Date: 2011-11-15

Creator: Christopher Chong, Guido Schneider

Access: Open access

It is the purpose of this short note to discuss some aspects of the validity question concerning the Korteweg-de Vries (KdV) approximation for periodic media. For a homogeneous model possessing the same resonance structure as it arises in periodic media we prove the validity of the KdV approximation with the help of energy estimates. © 2011 Elsevier Inc.