Waves near Resonance: from Fast Train Track to Moving Loads on Very Large Floating Structures
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 surface. This is meant to represent a model of the use of extended ice sheets as roads and aircraft runways. Some open problems on the theoretical side of this topic will be mentioned in the end.
Time and place: Friday Nov 17th，15:40-16:40, 欧阳纯美楼316