Welcome to the web page of the Seminar Series of the Analysis Groups at Pisa. It is currently organized by Luigi Forcella and Ilaria Lucardesi.
Upcoming Seminars
List of all Seminars
2025
On polygonal nonlocal isoperimetric inequalities: Hardy-Littlewood, Riesz, Faber-Krahn. – Dorin Bucur (Université de Savoie Mont Blanc)
venerdì 23 mag 2025 2:00 PM — 3:00 PM Aula Riunioni (Department of Mathematics) Seminars, Analysis Seminar
The starting point is the Faber-Krahn inequality on the first eigenvalue of the Dirichlet Laplacian. Many refinements were obtained in the last years, mainly due to the use of recent techniques bas...
Nonlocal free boundary minimal surfaces – Serena Dipierro (The University of Western Australia)
giovedì 22 mag 2025 3:30 PM — 4:20 PM Aula Riunioni (Department of Mathematics) Seminars, Analysis Seminar
We introduce the nonlocal analogue of the classical free boundary minimal hypersurfaces in an open set as the (boundaries of) critical points of the fractional perimeter with respect to inner varia...
Optimal control and shape optimisation of a bulk-surface cooperative system – Raphaël Prunier (Université Paris Dauphine)
giovedì 22 mag 2025 2:40 PM — 3:40 PM Aula Riunioni (Department of Mathematics) Seminars, Analysis Seminar
In this talk we present a coupled population dynamics model, featuring a population u living inside a fixed habitat Ω and a population v living on its boundary Σ := ∂Ω, driven both by resources sup...
Energy barriers for boundary nucleation in a two-well model – Antonio Tribuzio (Institute for Applied Mathematics, Universität Bonn)
giovedì 22 mag 2025 1:30 PM — 2:30 PM Aula Riunioni (Department of Mathematics) Seminars, Analysis Seminar
Shape-memory alloys are materials that, e.g. during a cooling process, change their crystalline structure. This trasformation is often initiated by the formation of a small inclusion of deformed ma...
Regularity and singularities in optimal partition problems – Roberto Ognibene (Università degli Studi di Milano-Bicocca)
giovedì 20 mar 2025 4:00 PM — 5:00 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
In this talk, we discuss regularity properties of minimal segregated configurations, defined as vector valued functions with the property that, for each point in the domain, at most one component i...
Structure of the Robin Harmonic Measure on Rough Domains – Marco Michetti (Sapienza Università di Roma)
giovedì 13 mar 2025 4:00 PM — 5:00 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
In this talk we will present the Robin harmonic measure and how it behaves on non smooth domains. In particular we will prove that, in contrast with respect to the Dirichlet case, Robin harmonic me...
Euclidean distortion of quasisymmetrically Hilbertian metric spaces – Alan Chang (Washington University in St. Louis)
mercoledì 12 mar 2025 4:00 PM — 5:00 PM Aula Seminari (Department of Mathematics) Seminars, Analysis Seminar
In this talk, we will discuss quantitative bounds on bi-Lipschitz embeddings of certain finite metric spaces into Euclidean space. We will see some ideas in the proofs as well as some geometric and...
Some remarks on singular capillary cones with free boundary – Giorgio Tortone (Università di Pisa)
giovedì 27 feb 2025 4:00 PM — 5:00 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
We discuss the existence of minimizing singular cones with free boundary associated to the capillarity problem. Precisely, we provide a stability criterion à la Jerison-Savin for capillary hypersu...
Fully-discrete finite element approximation of a simplified model for smart fluids: a (weak) convergence analysis – Alex Niklas Kaltenbach (Technische Universität Berlin)
mercoledì 26 feb 2025 11:00 AM — 11:30 AM Aula Riunioni (ex-DMA) Seminars, Analysis Seminar
In this talk, a weak convergence analysis for a fully-discrete finite element approximation of a simplified model for smart fluids is presented. In general, a fluid is called 'smart', when it can c...
Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces – Raoní Cabral Ponciano (Federal University of ABC)
giovedì 20 feb 2025 4:00 PM — 5:00 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
Embedding theorems for symmetric functions without any boundary conditions have been studied on flat Riemannian manifolds, such as the Euclidean space. However, these theorems have only been establ...
μ-ellipticity and nonautonomous integrals – Filomena De Filippis (Università di Parma)
giovedì 23 gen 2025 4:00 PM — 5:00 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
µ-ellipticity describes certain degenerate forms of ellipticity typical of convex integrals at linear or nearly linear growth, such as the area integral or the iterated logarithmic model. The regul...
Non-uniqueness and energy dissipation for 2D Euler equations with vorticity in Hardy spaces – Stefano Modena (Gran Sasso Science Institute)
giovedì 16 gen 2025 4:00 PM — 5:00 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
We show by convex integration that uniqueness of solutions to the 2D incompressible Euler equations fails in the class of admissible (i.e. energy dissipating), compactly supported, $L^\infty_t L^2_...
2024
2023
2022
A short proof of Allard’s theorem – Carlo Gasparetto (Università di Pisa)
martedì 6 dic 2022 5:00 PM — 6:00 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
Venue
Dipartimento di Matematica, Aula Magna.
Abstract
Allard’s theorem roughly states that a minimal surface, that is close enough to a plane, coincides with the graph of a smooth funct...
Clustering Solutions for a Boundary Yamabe Problem – Sergio Cruz Blazquez (Università degli Studi della Campania "Luigi Vanvitelli")
martedì 29 nov 2022 5:00 PM — 5:45 PM Aula Seminari (Department of Mathematics) Seminars, Analysis Seminar
In this talk we consider a boundary case of the classical Kazdan-Warner problem in dimension greater or equal than four, corresponding to the prescription of scalar and boundary mean curvatures und...
The influence of a strong oscillating magnetic field in an elastic body – Juan Casado-Diaz (Universidad de Sevilla)
martedì 29 nov 2022 4:00 PM — 4:45 PM Aula Seminari (Department of Mathematics) Seminars, Analysis Seminar
Venue
Dipartimento di Matematica, Sala Seminari.
Abstract
We study the homogenization of the elastic system submitted to a strong oscillating magnetic field. We prove that oscillations i...
Old and new questions in the regularity theory of the d-bar-Neumann problem – Gian Maria Dall’Ara (SNS, Pisa, INdAM)
martedì 22 nov 2022 5:00 PM — 6:00 PM Aula Seminari (Department of Mathematics) Seminars, Analysis Seminar
In this talk, I will discuss various questions in the analysis of the d-bar-Neumann problem, a classical noncoercive boundary value problem for the Laplacian whose regularity theory is of great imp...
Normalized solutions for non-autonomous Schroedinger equations in $R^n$ and exterior domains – Riccardo Molle (Università degli Studi di Roma Tor Vergata)
martedì 15 nov 2022 5:00 PM — 6:00 PM Aula Seminari (Department of Mathematics) Seminars, Analysis Seminar
This talk concerns with some recent results about the
existence of positive solutions with prescribed mass for nonlinear
Schrödinger equations with a non-symmetric potential.
Mass supercritical ...
Existence of optimal shapes in optimal control theory – Idriss Mazari (Université Paris Dauphine)
martedì 18 ott 2022 5:00 PM — 6:00 PM Aula Riunioni (Department of Mathematics) Seminars, Analysis Seminar
Venue
Dipartimento di Matematica, Sala Riunioni.
Abstract
In this talk, we present several recent contributions (in collaboration with G. Nadin and Y. Privat) on the question of the exis...
Critical points at prescribed energy levels – Gaetano Siciliano (IME/USP -- Universidade de São Paulo)
lunedì 10 ott 2022 5:00 PM — 6:00 PM Aula Seminari (Department of Mathematics) Seminars, Analysis Seminar
In this talk, we discuss the existence of critical points for a family of abstract and smooth functionals on Banach spaces under the energy constraint. By using the Ljusternick-Schnirelmann theory ...
Currents with coefficients in groups and applications to network optimization problems – Annalisa Massaccesi (Università di Padova)
lunedì 19 set 2022 4:00 PM — 5:00 PM Aula Riunioni (Department of Mathematics) Seminars, Analysis Seminar
TBA
The Riemannian Penrose inequality via nonlinear potential theory – Carlo Mantegazza (Università degli Studi di Napoli Federico II)
lunedì 11 lug 2022 5:30 PM — 6:30 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
Venue
Dipartimento di Matematica, Aula Magna.
Abstract
We will discuss the Riemannian Penrose inequality in an asymptotically flat 3-manifold with nonnegative scalar curvature and the ma...
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations – Elia Bruè (Institute for Advanced Study)
martedì 28 giu 2022 4:30 PM — 5:30 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
Venue
Dipartimento di Matematica, Aula Magna.
Abstract
In his seminal work, Leray demonstrated the existence of global weak solutions, with nonincreasing energy, to the Navier-Stokes equ...
Existence Proofs for Pseudomonotone Parabolic Problems – Michael Růžička (Albert-Ludwigs-Universität Freiburg)
lunedì 20 giu 2022 5:00 PM — 6:00 PM Aula Seminari (Department of Mathematics) Seminars, Analysis Seminar
Venue
Dipartimento di Matematica, Aula Seminari.
Abstract
In the talk we discuss several existence proofs for nonlinear parabolic problems which
contain a pseudomonotone operator. A new...
Long time behavior of solutions to open fluid systems – Eduard Feireisl (Institute of Mathematics of the Czech Academy of Sciences)
mercoledì 25 mag 2022 5:00 PM — 6:30 PM Aula Seminari (Department of Mathematics) Seminars, Analysis Seminar
Venue
Sala Seminari .
Abstract
We consider the physically relevant fully compressible setting of the
Rayleigh-Benard problem of
a fluid confined between two parallel plates, heated fro...
Existence of canonical multi-phase Brakke flows-VAREG seminar – Salvatore Stuvard (Università degli Studi di Milano (La Statale))
mercoledì 25 mag 2022 4:00 PM — 5:00 PM Aula Seminari (Department of Mathematics) Seminars, Analysis Seminar
Venue
Sala Seminari.
Abstract
Further information is available on the [event page](https://events...
On a general mixed dispersion nonlinear Schödinger equation – Pietro D'Avenia (Politecnico di Bari)
mercoledì 18 mag 2022 3:00 PM — 4:00 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
I will present a multiplicity result for a mixed dispersion nonlinear Schrödinger equation where the nonlinearity g satisfies general assumptions.
(joint work with Alessio Pomponio and Jacopo Schino)
Segregated solutions for some nonlinear Schrödinger systems – Angela Pistoia (Sapienza Università di Roma)
mercoledì 4 mag 2022 5:00 PM — 6:00 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
Venue
Department of Mathematics, Aula Magna.
Abstract
I will focus on the existence and multiplicity of positive non-radial solutions for some systems of Schrödinger equations in a weak ...
Optimal design versus maximal Monge-Kantorovich metrics – Guy Bouchitté (Université de Toulon)
mercoledì 30 mar 2022 3:00 PM — 4:00 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
Venue
Aula Magna – Dipartimento di Matematica.
Abstract
Weak limit of homeomorphisms in $W^{1,n-1}$ and (INV) condition – Stanislav Hencl (Charles University - Univerzita Karlova)
mercoledì 23 mar 2022 5:00 PM — 6:00 PM Aula Seminari (Department of Mathematics) Seminars, Analysis Seminar
Venue
Sala Seminari (Dip. Matematica).
Abstract
Let be Lipschitz domains, let be a sequence of homeomorphisms with prescribed Dirichlet...
Free boundary problems in the spatial segregation of competing systems – Nicola Soave (Politecnico di Milano)
mercoledì 9 mar 2022 5:00 PM — 6:30 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
Venue
Aula Magna – Dipartimento di Matematica.
Abstract
In this talk we present some results concerning the spatial segregation in systems with strong competition. In particular, we focu...
2021
Geodesic distances on Banach manifolds – Daniele Tiberio (SISSA, Trieste)
lunedì 6 dic 2021 2:30 PM — 3:30 PM Aula Seminari (Department of Mathematics) Seminars, Analysis Seminar
Venue
Sala Seminari (Dip. Matematica).
Abstract
In a connected Banach manifold, equipped with a weak Riemannian metric, we show that the infimum of the lengths among all piecewise smooth...
Dispersive effects on domains with boundary: what we know and what we don’t\u2028 – Fabrice Planchon (Sorbonne Université)
lunedì 22 nov 2021 4:00 PM — 5:00 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
Venue
Aula Magna – Dipartimento di Matematica.
Abstract
We discuss a series of recent results about dispersive equations on domains, with particular interest in the so called Strichartz ...
Finite Energy Weak Solutions of the Navier-Stokes-Korteweg equations – Stefano Spirito (Università degli Studi dell'Aquila)
lunedì 22 nov 2021 2:30 PM — 3:30 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
Venue
Aula Magna – Dipartimento di Matematica.
Abstract
In this talk I will present some results concerning the analysis of the existence of finite energy weak solutions of the Navier-St...
Microlocal analysis of singular measures – Nicolas Burq (Université de Paris-Saclay)
mercoledì 3 nov 2021 3:00 PM — 4:00 PM Aula Riunioni (Department of Mathematics) Seminars, Analysis Seminar
Venue
Sala Riunioni (Dip. Matematica).
Abstract
In this talk, I will investigate the structure of singular measures from a microlocal perspective. I will introduce a notion of - reg...
An introduction to dispersive equations – Nicolas Burq (Université de Paris-Saclay)
mercoledì 3 nov 2021 10:00 AM — 11:00 AM Aula Seminari (Department of Mathematics) Seminars, Analysis Seminar
Venue
Sala Seminari (Dip. Matematica).
Abstract
This seminar is a quick introduction to the field of dispersive equations. We shall present the main models most studied in the literature...
A variational approach to a class of nonlinear Cauchy-Neumann problems – Alessandro Audrito (ETH Zürich)
lunedì 25 ott 2021 2:30 PM — 3:30 PM Aula Riunioni (Department of Mathematics) Seminars, Analysis Seminar
Venue
Sala Riunioni (Dip. Matematica).
Abstract
In this talk, I will present some recent results about existence and Holder regularity of weak solutions to a class of nonlinear Cauchy-Ne...
Alcuni risultati di confronto per soluzioni di problemi ellittici con dati al bordo di tipo misto – Cristina Trombetti (Università degli Studi di Napoli Federico II)
lunedì 18 ott 2021 2:30 PM — 3:30 PM Seminars, Analysis Seminar
Abstract
I risultati di confronto alla Talenti per soluzioni di problemi ellittici con dati al bordo di tipo Dirichet e Neumann sono stati ampiamente affrontati negli ultimi decenni. In quest...
Fourier Rearrangement: Symmetry results for PDEs of arbitrary order – Enno Lenzmann (Universität Basel)
mercoledì 19 mag 2021 5:00 PM — 6:00 PM Seminars, Analysis Seminar
Abstract
In this talk, I will give an introduction to the method of Fourier rearrangements. This is a new method for proving optimal symmetry results for minimizers of variational problems inv...
2020
Geometric applications of (non)Linear Potential Theory – Mattia Fogagnolo (SNS, Pisa)
mercoledì 7 ott 2020 5:00 PM — 6:00 PM Aula Magna (Department of Mathematics) Seminars, Analysis Seminar
Venue
Aula Magna (Dip. Matematica Applicata).
Abstract
I will discuss how geometric inequalities and splitting results on complete Riemannian manifolds with nonnegative Ricci curvature c...
From quantization of measures to weighted ultrafast diffusion equations – Mikaela Iacobelli (ETH Zürich)
mercoledì 13 mag 2020 5:00 PM — 6:00 PM Seminars, Analysis Seminar
Abstract
In this talk I will discuss some recent results on the asymptotic behaviour of a family of weighted ultrafast diffusion PDEs. These equations are motivated by the gradient flow approa...
Perelman, the Ricci flow and the Poincarè Conjecture – Carlo Mantegazza (Università degli Studi di Napoli Federico II)
mercoledì 29 apr 2020 5:00 PM — 6:00 PM Seminars, Analysis Seminar
Abstract
I will present an overview of the Ricci flow and of its geometric applications, in particular the proof of Poincare’ conjecture. It will be a panoramic and informative talk aimed at n...
Nonwandering points of continuous dynamical systems and constructive controllability – Eugene Stepanov (Università di Pisa)
mercoledì 22 apr 2020 3:00 PM — 4:00 PM Online Seminars, Analysis Seminar
Abstract
We will give an overview of the recent results stating how can one constructively slightly perturb a smooth vector field in order to make a given point periodic under the flow it prod...
An isotropic free transmission problem involving p-laplacian – Harish Shrivastava (Università di Pisa)
mercoledì 1 apr 2020 5:00 PM — 6:00 PM Seminars, Analysis Seminar
Abstract
In free transmission problems we study the functionals where solutions are required to satisfy distinct partial differential equations in different phases. We will be considering the ...
“A biologically inspired deduction of Optimal Transport Problems” – Enrico Facca (SNS, Pisa)
mercoledì 25 mar 2020 5:00 PM — 6:00 PM Seminars, Analysis Seminar
Abstract
We present a model originally inspired by the study of a unicellular slime mold (called Physarum Polycephalum). The model couples a diffusion equation with an ODE imposing a transient...