I will discuss non-linear stability results concerning the asymptotic behavior of solutions to classical models arising in kinetic theory. Firstly,…
Categoria evento: Seminari MAP
Long-range interactions in configurations of liquid droplets at equilibrium – Konstantinos Bessas (Università di Pavia)
In the first part of the talk we will introduce variational problems involving the free energy associated to the surface…
Large Deviations for Empirical Measures of Self-Interacting Markov Chains – Pavlos Zoubouloglou (University of North Carolina)
Let $\Delta^o$ be a finite set and, for each probability measure $m$ on $\Delta^o$, let $G(m)$ be a transition kernel…
The Kato square root problem on pasta – Gianmarco Brocchi (Chalmers University/Gothenburg University)
Consider a matrix $A$ with complex, bounded, coefficients, which satisfies an ellipticity condition. In 1953 Tosio Kato asked what is…
From combinatorics to PDE – Francesco Mattesini (Münster University/Max Planck Institute Leipzig )
The optimal matching problem is a popular random variational problem that received interest in the last 30 years. It was…
Diffuse approximation of the Willmore functional and a conjecture of De Giorgi – Mattia Freguglia (Scuola Normale Superiore di Pisa)
In the last thirty years, there has been a growing interest in geometric energies, as for example the Perimeter functional…
Travelling waves for a nonlinear Schrödinger system with quadratic interaction – Masayuki Hayashi (Università di Pisa)
Solitary waves (solitons, standing waves, traveling waves) are known to play a fundamental role in the analysis of nonlinear dispersive…
Vanishing viscosity limit for the Navier-Stokes system and its related topics – Taiki Takeuchi (Waseda University)
In this talk, we introduce the Navier-Stokes system and the Euler system, which are mathematical models of fluid dynamics. After…
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.…