Solitary Waves and Lumps on Water of Finite and Infinite Depth
Triantaphyllos Akylas (MIT)
| When |
May 09, 2016
from 11:00 to 12:00 |
|---|---|
| Where | Amphi. Schrödinger |
| Attendees |
Triantaphyllos Akylas |
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A survey of recent work, by the speaker’s group and others, on the bifurcation and generation of solitary waves (in 1D) and lumps (in 2D) in shallow and deep water will be presented. The key point is that solitary waves and lumps may arise at extrema of the linear phase speed, which represent the edges of the linear wave spectrum. In the water wave problem, such bifurcation points are possible for: (i) long waves in shallow water; (ii) gravity—capillary waves in finite or infinite depth. Case (i) is connected with the classical KdV theory, while case (ii) leads to the gravity--capillary solitary waves and lumps of the wavepacket type that have received intensive study in the last twenty five years.
