Display Abstract

Title The Wavemaker Problem

Name Jonatan Lenells
Country USA
Email Jonatan_Lenells@baylor.edu
Co-Author(s) J. L. Bona, A. S. Fokas
Submit Time 2014-02-25 22:08:48
Session
Special Session 98: Boundary-value problems for linear and nonlinear integrable problems
Contents
I will discuss the problem of determining the wave profile generated by a periodically moving wavemaker mounted at one end of a laboratory wave tank. Mathematically, the problem can be expressed as a boundary value problem for a nonlinear evolution equation with time-periodic forcing. I will present a new technique for analyzing problems of this type and describe how it can be used to partially answer some questions raised by experiments 35 years ago.