In this talk, we introduce the Navier-Stokes system and the Euler system, which are mathematical models of fluid dynamics. After…
Categoria evento: Seminari MAP
On the Laplacian perturbed with inverse square potential: the domain of its closure and of its square – Mario Rastrelli (Università di Pisa)
In this talk, we want to give an explicit and easy characterization of the domain of the operator $A_\beta=-\Delta+\frac{\beta}{|x|^2}$ and of its square.…
The Bourgain Subset of Baire-1 Functions and Descriptive Set Theory – Jeremy Mirmina (Università di Pisa)
First session of Map Seminar devoted to PhD students and Master students.…
Free boundary regularity in the one-phase Stefan problem: a recent perturbative approach – Nicolò Forcillo (Università di Bologna)
In this talk, we focus on the free boundary regularity in the one-phase Stefan problem. Specifically, we describe a recent perturbative approach to the study of this. In the first part, we introduce some general notions and results connected with…
Distributional fractional Sobolev and BV spaces – Giovanni Comi (Università di Pisa)
Differently from their integer versions, the fractional Sobolev spaces $W^{\alpha,p}(\mathbb{R}^n)$ do not seem to have a clear distributional nature. By exploiting suitable notions of fractional gradient and divergence already existing in the…
Nonlinear Schrödinger ground states on metric graphs – Filippo Boni (Politecnico di Torino e Università di Torino)
Nonlinear dynamics on graphs has rapidly become a topical issue with many physical applications, ranging from nonlinear optics to Bose–Einstein condensation. In the first part of the talk, we introduce the problem of the existence of ground states…
A comparison principle for the Lane-Emden equation and applications to geometric estimates – Anna Chiara Zagati (Università di Ferrara)
We introduce a comparison principle for positive supersolutions and subsolutions to the Lane-Emden equation for the p−Laplacian. Then we apply such a comparison principle to obtain a variety of results, as “hierarchy” of solutions, sharp pointwise…
The first eigenvalue of the (fractional) Dirichlet-Laplacian vs. the infradius. – Francesca Bianchi (Università di Ferrara)
To attend in presence you need to fill in an online form, while to follow remotely you need a Google Meet link. Both of them are available at: https://seminarimap.wixsite.com/seminarimap/2021-2022/francesca-bianchi ABSTRACT: We discuss for…
Curvature varifolds and biological membranes – Katharina Brazda (University of Vienna)
The seminar will be online only. The link is available at: https://seminarimap.wixsite.com/seminarimap/2021-2022/katharina-brazda ABSTRACT: Varifolds are measures that describe generalized surfaces in geometric measure theory. Due to their…
On modified quasilinear Schrödinger equations: a variational approach – Caterina Sportelli (Università di Bari)
In the last years, quasilinear Schrödinger-type equations became a topic of wide interest and they have been derived as a model of several physical phenomena. In this talk, after having recall some classical variational tools, we study the existence…