Oberseminar Numerische Mathematik / Scientific Computing
Oliver Bühler
Courant Institute of Mathematical
Sobolev under the sea: the numerical solution of an ill-posed problem relevant for the ocean circulation
Abstract:
The global-scale circulation of the ocean is intimately linked to
unresolvable small-scale waves, which in some sense provide the
lubrication for the functioning of the circulation. An important
energy source for these waves are the lunar tides, and an open
problem in present-day oceanography is how this tidal wave energy is
converted into the wave energy at the very small scales at which the
lubrication can take place.
In this talk the interaction of tidal waves with small scale random
undulations of the sea floor are investigated, which mathematically
leads to an ill-posed problem of a type first studied by Sobolev. We
solve this problem using a specialized numerical technique and show
that the random topography is a very efficient wave energy converter
and thus helps lubricating the ocean circulation.
| Datum: | 12.07.10 | Zeit: | 17:00 Uhr | Ort: | FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin. | Raum: | 031 im Erdgeschoss |