Speaker 2 : Zhan Wang (Chinese Academy of Sciences)
Date & Time : August 20th (Fri.), 2021 / 10:50-11:30PM (Tokyo (JST))
Title : Waves near resonance: from fast train track to moving loads on
very large floating structures
Abstract :
The problem of forced unsteady water waves under an elastic sheet is a model
for waves under ice or under very large floating structures. Even though small-
amplitude solitary waves are not predicted to exist by standard perturbation
analyses, we find large-amplitude solitary waves and explore their crucial role
in the forced problem of a moving load on the elastic cover. This phenomenon is
very much like vibrations of fast train tracks and meant to represent a model
of the use of extended ice sheets as roads and aircraft runways. Both numerical
and theoretical results will be discussed in the talk, and some unsolved
problems will be mentioned in the end.