Research Group:
Speaker:
A. Constantin
Institution:
Lund University, Sweden
Schedule:
Thursday, October 16, 2003 - 08:30 to 09:30
Location:
room L
Abstract:
A recently derived nonlinear partial differential equation models the propagation of waves on shallow water. The equation is an integrable infinite dimensional Hamiltonian system and its solitary waves are peaked solitons. Moreover, the equation is a re-expression of geodesic flow on the diffeomorphism group of the circle. While certain solutions are global, others blow-up in finite time (the equation models wave breaking).