Top-level heading

Tectonic asymmetry of the Earth: any relation with tides?

Abstract: 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" dir...

Modeling volcano deformation made easy:constraining the source of the 2004-2011 volcano unrest at Mount St Helens (WA).

Abstract: Precise measurements of ground deformation have become increasingly common as large networks of GPS receivers and borehole strainmeters have been established over the last decade. Complement...

Social networks that balance themselves

Abstract: Consider a fully-connected social network of people, companies, or countries, modeled as an undirected complete graph with real numbers on its edges. Positive edges link friends; negative ed...

Mathematical models of wetting phenomena

Abstract: Wetting phenomena at "small" scales (a water drop on a glass, the precorneal tear-film) may be described by quite a few different mathematical models: diffuse interface ones, sharp ones such...

On the shapes of water

Abstract: As we learnt from Young and Laplace, the cohesion of fluids makes them choose specific shapes, in particular spheres at a small scale. We discuss several ways to maintain this ideal shape on...

Variational problems on the equilibrium (and quasistatic evolution) of drops

Abstract: The classical (that is, geometric) model of capillarity accounts for many of the equilibrium shapes we commonly observe in liquid drops. In fact, even more complicated phenomena such as supe...

Collective phenomena in immune systems

 Abstract: The immune system defends us from pathogens. But what is an antigen? Does each lymphocyte really know the complete ensemble of all the molecules of our body? Is there, instead, a syste...

Critical point at Infinity approach to Liouville Equations

We consider critical and supercritical Liouville equations on surfaces and on domains of \mathbb{R}^2 under Dirichlet boundary conditions. Using some tools of the "critical point theory at Infinity" o...

Disuguaglianze di tipo Moser-Trudinger con pesi ed equazioni di Liouville con dati singolaris

L'analisi dell' equazione di Liouville con dati singolari suggerisce naturalmentre lo studio di una disuguaglianza di tipo Moser-Trudinger con peso. Dopo una introduzione al problema e alle sue motiva...

On growth of Sobolev norms of solutions to time-dependent Schroedinger equations

Let us consider the linear Schroedinger equation on the torus with a time dependent Gevrey potential. We shall show that the H^s norm of the solution grows at most logarithmically. This extend the res...
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