# American Institute of Mathematical Sciences

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

## Long-time averaging for some conservative PDEs having quadratic nonlinearities

 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.
Citation: Steve Schochet. Long-time averaging for some conservative PDEs having quadratic nonlinearities. Discrete and Continuous Dynamical Systems, 2004, 11 (1) : 221-233. doi: 10.3934/dcds.2004.11.221
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