- Series
- PDE Seminar
- Time
- Tuesday, February 12, 2013 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Miles Wheeler – Brown University
- Organizer
- Zhiwu Lin
We provide the first construction of exact solitary waves of large
amplitude with an arbitrary distribution of vorticity. Small amplitude
solutions have been constructed by Hur and later by Groves and Wahlen
using a KdV scaling. We use continuation to construct a global connected
set of symmetric solitary waves of elevation, whose profiles decrease
monotonically on either side of a central crest. This generalizes the
classical result of Amick and Toland.