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January  2004, 11(1): 221-233. doi: 10.3934/dcds.2004.11.221

Long-time averaging for some conservative PDEs having quadratic nonlinearities

Steve Schochet 1,

1. 

School of Mathematical Sciences, Tel-Aviv University, Ramat Aviv 69978, Israel

Received  January 2003 Revised  December 2003 Published  April 2004

The leading-order asymptotics through times of the order of the inverse square of the amplitude are determined for solutions to certain conservative PDEs having quadratic nonlinearities. This time scale is much longer than in standard averaging results.
Keywords: resonance, Averaging, asymptotics., scaling.
Mathematics Subject Classification: 35B40,35C2.
Citation: Steve Schochet. Long-time averaging for some conservative PDEs having quadratic nonlinearities. Discrete & Continuous Dynamical Systems - A, 2004, 11 (1) : 221-233. doi: 10.3934/dcds.2004.11.221
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