Interdisciplinary Seminar in Nonlinear Science

Title: Counter-propagating waves on fluid surfaces and the continuum limit of the Fermi-Pasta-Ulam model
Speaker: Gene Wayne
Speaker Info: Boston University
Brief Description:
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Recently methods have been developed with permit one to rigorously justify the use of ``amplitude'' or ``modulation'' equations that arise in a wide variety of physical contexts. In particular, Guido Schneider and I have recently shown that over the time and length scales commonly used to derive long-wave equations for fluid surfaces, the irrotational motion of an incompressible, inviscid fluid of finite depth can be described by a pair of uncoupled Korteweg-de Vries equations. In this talk I will review this result, describe the general method of proof, and apply this method in another context to show that in an appropriate scaling, the motion of the Fermi-Pasta-Ulam model of coupled, nonlinear oscillators can also be approximated by a pair of uncoupled KdV equations.
Date: Friday, February 9, 2001
Time: 2:00PM
Where: Tech M416
Contact Person: Mary Silber
Contact email: m-silber@northwestern.edu
Contact Phone: 847-491-8782
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