Article ID Journal Published Year Pages File Type
4618245 Journal of Mathematical Analysis and Applications 2011 7 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis