Mo
MA

Modelli   Matematici per
 le Applicazioni

Dipartimento di Matematica, Sapienza, Università di Roma


Seminari 2011
Torna ai seminari dell'anno corrente


2 dicembre

ore 12.00-14.00

Aula Consiglio

Marco Cuffaro

Plate kinematic models and lithosphere/mantle interactions at mid-ocean ridges


Plate kinematics represents the first evidence of plate tectonic processes and the basics of plate dynamic models. The kinematics of plates is defined by Euler pole and angular velocity, and the main difficulty in describing plate motions is the choice of the reference frame. This problem is solved doing relative analysis, keeping one of the two plates fixed: then, plate displacements can be observed directly and computed by data coming from geology, geophysics and space geodesy. In contrast, there is not a direct way to measure motions relative to the mantle, and they need to be inferred indirectly, using results of relative plate kinematic models. Plate motions in the mantle-framework are useful to understand why plates move and what forces are involved, and also represents the initial conditions for plate dynamic numerical modeling. Tectonic evolution at the base of the oceans is generally obtained, modeling with relative plate motions and steady-state processes. A better way to understand lithosphere/mantle interactions, at mid-ocean ridges, corresponds to plate kinematic analyses with respect to the mantle, modeling time-dependent tectonic processes. Numerical solutions for viscosity flow beneath plates, that thicken with increasing age, provide useful relationships between mantle temperature and thickness of the oceanic lithosphere.

4 novembre

ore 13.00-15.00

Aula Consiglio
Carlo Doglioni

Tectonic asymmetry of the Earth: any relation with tides?

The Earth shows a systematic asimmetry of the first order tectonic features, both along subduction zones, orogens and oceanic rifts. 
This signature is consistent with the "westerly" directed rotation of the lithospheric Earth's outer shell (about 100 km). We still do not know why the lithospheric plates move, and why there is such a net rotation of the lithosphere.

We are testing the idea that the westward drift and tectonics at plate margins (e.g., earthquakes) are generated by a combination of thermal dissipation of the planet and the body tide. The body tide, or solid Earth tide, is westerly polarized due to the misalignment of the tidal bulge with respect to the Moon and Sun gravitational alignments. This permanent instability should generate a westerly directed moment. The transit of the associated wave should generate a slow, permanent shift in the order of 0.1 mm/half-day.


7 ottobre

ore 12.00-14.00

Aula Consiglio

Claudio Landim

Central limit theorem for Markov processes: the martingale approach

claudio landim