Seminar of Research Training Group
Exploring some elliptic operators in Gravitation and Physical Oceanography
Tuesday June 23, 2015 16:15:00 CEST
Tuesday June 23, 2015 17:45:00 CEST
Dr. Jose Luis Jaramillo, Universität Brest
We discuss two physical problems in which the study of
the spectral properties of certain elliptic operators,
related to the Laplace-Beltrami operator on compact
Riemannian manifolds, appear naturally. The first problem
dwells in a gravitational context, namely the stability of
black hole apparent horizons, and addresses the properties
of a non-selfadjoint elliptic operator defined on closed
codimension-2 surfaces. The second problem deals with the
slow motions in the ocean and brings about the discussion of
the Laplace-Beltrami operator associated with an effective metric
in the oceanic basic, namely a compact manifold with boundaries.
The two problems are technically and conceptually related, in
particular through the spectral approach we adopt for their study.
The main goal in this talk is to present a brainstorm exercise
aiming at identifying the most suited mathematical strategy
for these problems.
SR 5, Helmholtzweg 4