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

作者：Chong Christopher; Schneider Guido^*

来源：Journal of Mathematical Analysis and Applications, 2011, 383(2): 330-336.

DOI：10.1016/j.jmaa.2011.05.028

• KdV approximation
• Error estimates
• Resonances

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.

• 出版日期2011-11-15