Professor of Mathematics (CRC), McMaster University
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Abstract
Wave phenomena occur on an enormous range of scales, from the
sub-quantum mechanical to the astrophysical. This talk will discuss the
problem of free surface waves in water, which is a classical problem in
mathematical hydrodynamics. We will discuss some of the common
scale-independent features of wave prop- agation and wave interaction in
this context, including detailed descriptions of nonlinear wave
collisions, and the beginnings of a rigorous kinetic theory for a regime
of wave turbulence.