Models involving branched structures are employed to describe several supply-demand systems such as the structure of the nerves of a leaf, the system of roots of a tree, or the nervous and the cardiovascular systems. Given a flow that transports a…
Eventi
A Hele-Shaw tumor growth model as a gradient flow. – Simone Di Marino (Scuola Normale Superiore)
In 2014 Perthame, Quiroz and Vasquez unite two types of modeling of tumor growth into a unique framework of reaction-diffusion type where the diffusive term is $\Delta p(\rho)$ and $p(\rho)=\rho^m$. The stiff limit $m \to \infty$ is in particular a…
Optimal Interpolation Formulas in W_2^{(m,m-1)} space – Samandar Babaev (Bukhara State University, Uzbekistan)
In this talk, using S.L.Sobolev’s method, optimal interpolationformulas are constructed in W_{2} ^(m,m−1)(0,1) space. Explicit formulas for coefficients of optimal interpolation formulas are obtained. Some numerical results arepresented.…
On Aharonov-Bohm operators with moving poles – Veronica Felli (Università di Milano bicocca)
In this talk, I will present some results in collaboration with L. Abatangelo (Milano-Bicocca), L. Hillairet (Orléans), C. Léna (Torino), B. Noris (Amiens), M. Nys (Torino), concerning the behavior of the eigenvalues of Aharonov-Bohm operators with…
Minimal volume hyperbolic 4-manifolds – Leone Slavich
Since the volume of a hyperbolic manifold is often regarded as a measure of its complexity, it is interesting to study the examples of minimal volume. The 2 and 3-dimensional cases are well understood. In dimension four there is an abundance of…
Counting Fiedler pencils using diagrams – Federico Poloni (Dipartimento di Informatica, Universita’ di Pisa)
Fiedler pencils are a family of matrix pencils which generalizes the well-known companion matrix: they are *linearizations*, i.e., they provide a method to construct, given a matrix polynomial, a linear eigenvalue problem with the same eigenvalues…
Liouville-type problems on compact surfaces: a variational approach – Aleks Jevnikar
A class of Liouville equations and systems on compact surfaces is considered: we focus on the Toda system which is motivated in mathematical physics by the study of models in non-abelian Chern-Simons theory and in geometry in the description of…
Non-local Isoperimetric Problems – François Generau (Université de Grenoble)
Venue Sala Seminari (Dip. Matematica). Abstract…
Morfismo traccia e deformazioni di coppie (varieta’, fascio coerente). – Marco Manetti (Universita\’ di Roma “La Sapienza”)
Dato un fascio coerente F su una varieta’ liscia proiettiva X, viene determinata l’algebra di Lie differenziale graduata che controlla le deformazioni della coppia (X,F). Viene poi introdotto un morfismo di traccia tra opportuni fasci di operatori…
Backward error analysis for polynomial rootfinders – Leonardo Robol (ISTI–CNR Pisa)
The most common methods to compute roots of polynomials is to rephrase the problem in linear algebra terms: one constructs a companion matrix (or pencil) that has the roots of the polynomial as eigenvalues. However, even when the eigenvalue method…