Title: Theory, Movies and Pendulum Models of Kink, Breather and Domain Wall Solitons
2014.12.08 |
Date | Tue 16 Dec |
Time | 15:45 — 17:00 |
Location | 1531-113 (Aud.D1) |
Abstract:
The Equations of Fluid Mechanics are nonlinear due to the Galilean Transformation, the equation of state, and the kinematical boundary condition. In the absence of a free surface these equations contain symmetry breaking multiscale solutions at fourth order that are isomorphic to the Landau two fluid theory. Inclusion of gravity and a free surface introduces dispersion and the appearance of various solitons. These include non-propagating kinks, breathers and domain walls. All of these states correspond to spontaneous symmetry breaking while the domain wall in addition represents a broken parity. Movies of these states on water and in a pendulum lattice will be shown. The physical solitons exist at amplitudes that are so high that they appear to be more general than is elucidated by asymptotics.
Coffee:
Before the colloquium there will be coffee/tea outside the auditorium. The colloquium will start at 16:00.