Notiziario Scientifico
Notiziario dei seminari di carattere matematico
a cura del Dipartimento 'G. Castelnuovo'
Sapienza Università di Roma
Settimana dal 23 al 29 gennaio 2017
Lunedì 23 gennaio 2017
Ore 09:00, aula Picone
workshop 'Roma Caput PDE'
09:00 L. Nirenberg, The maximum principle, moving planes et al
09:45 M. Bartsch, Point vortex dynamics
11:00 G. Vaira, Large mass boundary condensation patterns in the stationary
Keller-Segel system
11:45 D. Giachetti, Strongly singular elliptic problems
15:00 G. Verzini, Optimization of the positive principal eigenvalue for
indefinite fractional Neumann problems
15:45 B. Noris, Positive solutions of Sobolev-supercritical equations with
Neumann boundary conditions in the ball
16:50 M. Fall, Hardy-Sobolev inequality with singularity a curve
Lunedì 23 gennaio 2017
Ore 11:00, aula B
Incontro di lavoro su Calcolo delle Variazioni e
Γ-convergenza/Working seminar on Calculus of Variations
and Γ-convergence
Roberto Alessi (Sapienza Università di Roma)
Mechanical response of hybrid laminates with cohesive interface law
Lunedì 23 gennaio 2017
Ore 16:00, aula di Consiglio
seminario di Probabilità e Statistica
Domenico Marinucci (Università di Roma Tor Vergata)
A Quantitative Central Limit Theorem for the Euler-Poincaré
Characteristic of Random Spherical Eigenfunctions
We establish here a Quantitative Central Limit Theorem (in Wasserstein
distance) for the Euler-Poincaré Characteristic of excursion sets of
random spherical eigenfunctions in dimension 2. Our proof is based upon a
decomposition of the Euler-Poincaré Characteristic into different
Wiener-chaos components: we prove that its asymptotic behaviour is
dominated by a single term, corresponding to the chaotic component of
order two. As a consequence, we show how the asymptotic dependence on the
threshold level u is fully degenerate, i.e. the Euler-Poincaré
Characteristic converges to a single random variable times a deterministic
function of the threshold. This deterministic function has a zero at the
origin, where the variance is thus asymptotically of smaller order. Our
results can be written as an asymptotic second-order Gaussian Kinematic
Formula for the excursion sets of Gaussian spherical harmonics.
Based on a joint work with Valentina Cammarota.
Martedì 24 gennaio 2017
Ore 09:00, aula Picone
workshop 'Roma Caput PDE'
09:00 A. Cellina, Properties of solutions of the elastoplastic
problem
09:45 F. Gladiali, Radial and nonradial entire solutions for Liouville
systems
11:00 S. Cingolani, On the logarithmic Choquard equation
11:45 T. D'Aprile, Prescribed Gauss curvature problem on singular
surfaces
15:00 H. Ohtsuka, Local asymptotic nondegeneracy for multi-bubble solutions
to the biharmonic Liouville-Gel'fand problem in dimension four
15:45 I. Ianni, A Morse index formula for the Lane-Emden problem
16:50 V. Felli, Spectral stability under removal small capacity sets
and applications to Aharonov-Bohm operators
17:30 M. Ghimenti, Noncompactness results for Yamabe problem on
manifolds with boundary
Mercoledì 25 gennaio 2017
Ore 09:00, aula Picone
workshop 'Roma Caput PDE'
09:00 M. Clapp, Existence and asymptotic profile of nodal solutions
to supercritical problems
09:45 A. Zilio, Predators-prey model with competition, the emergence of
packs and territoriality
11:00 N. Ghoussoub, Positive mass theorems for the Hardy-Schrödinger
operator and applications
11:45 M. del Pino, Vortex dynamics in Euler flows and the Liouville
equation
15:00 M. Musso, Infinite time blow-up for critical heat equation
in R3 with fast decay initial condition
15:45 M. Nys, Sharp boundary behaviour or eigenvalues for
Aharonov-Bohm operators with varying poles
16:50 A. Iacopetti, Radial graphs of prescribed mean curvature:
Euclid vs Lorentz-Minkowski
17.30 P. Caldiroli, Tori with prescribed mean curvature
Mercoledì 25 gennaio 2017
Ore 14:30, aula Nervi, Università di Roma Tre,
ex-Mattatoio, l.go G.B. Marzi
Seminario Formulas
Roberto Natalini (IAC-CNR)
Modelli matematici dell'autoorganizzazione degli aggregati cellulari
Uno dei grandi problemi biologici è dato dalla morfogenesi,
ossia il modo in cui si aggregano le cellule per dare vita a organismi
complessi. In questo seminario presenterò alcuni tentativi per
costruire modelli matematici soddisfacenti per descrivere la formazione
di aggregati cellulari. Uno degli aspetti notevoli di queste ricerche è
che non sempre i modelli della matematica del continuo riescono a descrivere
l'evoluzione di sistemi biologici complessi. Tra gli altri esporrò
alcuni risultati recenti sull'organizzazione spaziale di piccoli aggregati
di cellule staminali. Mentre le cellule vengono trattate a livello discreto,
le equazioni delle specie chimiche rimangono trattate con equazioni alle
derivate parziali. Questo approccio verrà illustrato nel caso della
morfogenesi di neuromasti negli embrioni di pesci zebra, e nella formazione
di cardiosfere composte da precursori di cellule staminali cardiache umane.
Mercoledì 25 gennaio 2017
Ore 15:00, aula di Consiglio
seminario di Algebra e Geometria
Selim Ghazouani (ENS Paris)
The complex hyperbolic geometry of moduli spaces of flat tori
Generalizing an idea of Thurston, Veech defines homogeneous structures on
several moduli spaces of flat surfaces with cone singularities.
The specific case of tori provides natural (non-complete) complex hyperbolic
structures of certain complex manifolds. We provide an interpretation of the
metric completion of these manifolds in terms of degenerations of the
underlying flat structures. This leads to
-on one hand, a natural compactification of the associated moduli spaces of
flat surfaces;
-on the other hand, a construction of complex hyperbolic cone-manifolds of
finite volume, whose holonomy are in a finite number of cases an arithmetic
lattice. This is a joint work with Luc Pirio.
Mercoledì 25 gennaio 2017
Ore 16:30, aula di Consiglio
seminario di Fisica Matematica
Michel Fruchart (Leiden)
Topological states in wave propagation: an introduction
Topological insulators are materials where the bulk propagation of waves is
twisted in a particular, topological way. At an interface between systems with
different topologies, edge states with very special properties appear, that
may for example serve as robust unidirectional wave guides. Fascinating from
the point of view of mathematics, such systems are also highly relevant from
the experimental point of view, and were realized (indeed) in solid-sate
electronic systems, but also with light, sound, or cold atoms. I will review
such phenomena, with an highlight on the bulk classification of topological
'effective evolutions' which describe the propagation of waves in such
peculiar media.
Giovedì 26 gennaio 2017
Ore 09:00, aula Picone
workshop 'Roma Caput PDE'
09:00 F. Pacella, Fully nonlinear elliptic problems with power
nonlinearities
09:45 R. Musina, Some strong maximum principles for fractional
Laplacians
11:00 N. Soave, Variational problems with long-range interaction
11:45 F. Takahashi, Some Trudinger-Moser type inequalities on the whole
space and their (non-)existence of maximizers
15:00 P. Esposito, A critical equation with Hardy potential
15:45 W. Reichel, Localized time-periodic solutions of nonlinear
wave equations
16:50 A.M. Micheletti, Generic properties of nondegeneracy of critical
points of some functionals
Venerdì 27 gennaio 2017
Ore 10:00, sala Multimediale, UniNettuno, p.za Grazioli 17
workshop 'Fractional Calculus and its Applications: 50 years from
the introduction of Caputo derivative'
10:00 L. Begin, 'Fractional-difference equations and related stochastic
processes'
10:30 F. Pitoli, 'Wavelet collocation method for fractional order
differential equations'
11:00 R. Garrappa 'On the Prabhakar derivative: applications, theory
and numerics'
11:30 M. Popolizio 'On the computation of Mittag-Leffler functions
with matrix arguments'
12:00 L. Vazquez 'Modelization and simulations of the atmospheric
dust dynamic through Fractional Calculus'
12:30 G. Martelloni 'A rain induced landslide 3D model based on
molecular dynamics with fractal and fractional water diffusion'
14:15 G. Molica Bisci 'Variational Methods for nonlocal fractional
problems'
14:45 R. Servadei 'Fractional Laplacian problems and related
topics'
15:15 F. Ferrari 'Some remarks about the Marchaud derivative and the
fractional Laplace operator'
15:45 M. Fabrizio 'Mathematical models with fractional variabile
coefficients'
16:15 S. Vitali 'The time fractional cable equation with applications
in biophysics'
16:45 A. Giusti 'On the propagation of waves in a viscoelastic
Bessel medium'
17:15 C. Ricciuti 'On two recent extensions of the fractional
point processes'
17:45 G. Dattoli 'Non local Operators in Quantum Mechanics and
Fractional Calculus'
Venerdì 27 gennaio 2017
Ore 12:00, aula di Consiglio
seminari MoMA
Loredana Santo
Shape Memory Polymer Composites for Aerospace Applications
Shape memory polymers and their composites (SMPs and SMPCs) belong to a new
class of smart materials, which can have interesting applications as
expandable/deployable structures and light actuators. In particular, SMPCs
combine typical mechanical and functional properties of composites with shape
memory properties. Such properties can be given to composite materials and
structures by using shape memory polymer (SMP) matrices or integrating parts
made of SMPs. In the case of integration, SMPC laminate can be obtained by
adding a shape memory layer in form of powder between the two composite
skins or flexible composite skins can be applied over a shape memory foam
core obtaining composite sandwich. As shape memory materials, SMPCs can
respond to specific external stimulus changing their configuration and
then remember the original shape.
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