October
5-6, 2001
Material
from Talks
Raymond
Hide (Oxford University)
The
Spinning Earth
Possibly
the most striking feature of the long-term behaviour of the
main geomagnetic field are the very long (~ 30 MYr) intervals
when no polarity reversals seem to have occurred. Generic
nonlinear processes in self exciting dynamos include the redistribution
of kinetic energy by Lorentz forces. According to recent work
on certain Faraday disk dynamos, under the simplest boundary
conditions this process can give rise to ``nonlinear quenching''
of reversals, thereby providing a possible theoretical basis
for interpreting superchrons and other features of the reversal
timeseries. It is of general theoretical interest to study
nonlinear quenching of fluctuating solutions of other autonomous
sets of nonlinear ODE's, such as the Lorenz and Roessler sets.
Anatoli
L. Levshin
(Department of Physics, University of Colorado at Boulder)
levshin@tinker.colorado.edu
Present-day
Surface Wave Seismology
Joint
work with Michael Ritzwoller.
In
recent years surface waves have found wide applications in
various seismological studies of a very different scale. We
present a brief description of our recent results in regional
surface wave tomography of continents, in applying these results
for nuclear tests monitoring purposes, and in studying shear-velocity
structure of soft sediments below sea bottom.
Misha
Vishik
Department of Mathematics (University of Texas at Austin Austin
, TX 78712) vishik@mail.ma.utexas.edu
Some
old and more recent results of the mathematical theory of
an ideal incompressible fluid Slides
We
will start with the review of the classical existence theory
for the Euler equations of an ideal incompressible fluid.
These results obtained in the 1920s and 1930s still constitute
the core of the theory. We will discuss the weak solutions
in dimension 2 and some more recent uniqueness results. The
ideas coming from Harmonic Analysis will be emphasized in
this talk.
Material
from Talks
Special
Event: Vladimir Keilis-Borok
80th Birthday Festschrift
2001-2002
IMA Thematic Year on Mathematics in the Geosciences
