Anche quest'anno si svolgerà all'IAC di Roma la consegna dei Premi Internazionali TULLIO LEVI CIVITA per le scienze matematiche e meccaniche assegnati ogni anno dal Centro M&MoCS a eminenti scienziati, Italiani e stranieri.
Vincitore per il 2024 è il Prof. Zaher Hani (Department of Mathematics, University of Michigan), mentre per il 2025 è il Prof. Herbert Spohn (Technical University of Munich).
Le due lectio magistralis si terranno il 20 maggio 2026 alle 14:30 a Roma all'IAC-CNR, via dei Taurini 19, Aula Piano Terra.
Ore 14:30 Prize 2025
Herbert Spohn (Technical University of Munich)
Titolo: Integrable Fluids, Statics and Dynamics
Abstract: Integrable many-body systems have been discovered in the 1960ies. Physically these are one-dimensional fine-tuned fluids, so to have an extensive number of local conservation laws. While many beautiful and surprising results should be cited, roughly a decade ago the non-equilibrium statistical mechanics of integrable fluids started to flourish. In my introductory presentation I will outline some key features, as generalized Gibbs states, quasiparticles, and hydrodynamic properties.
Ore 15:30 Prize 2024
Zaher Hani (Department of Mathematics, University of Michigan)
Titolo: The mathematical foundations of kinetic theory: from particles to waves
Abstract: Kinetic theory is a legacy of Boltzmann and Maxwell, and is one of the deepest scientific ideas ever introduced. The question of establishing its mathematical foundations was raised soon after Boltzmann introduced his physical theory, and proved to be a highly interesting and challenging direction of research over the past 120 years. In its classical particle setting, this was part of Hilbert’s sixth problem, which asked for the derivation of the equations of fluid mechanics—such as the Euler and Navier-Stokes equations—from first principles, by rigorously justifying Boltzmann’s kinetic theory as an intermediate step. This entails starting from Newton’s laws for a system of N particles and taking successive limits to first obtain Boltzmann’s kinetic equation, and then deriving the equations of fluid mechanics from it.The major landmark in the early literature is the work of Oscar Lanford (1975), who provided the first rigorous derivation of the Boltzmann equation in the so-called Boltzmann-Grad limit, albeit only for short times. The latter restriction does not allow for a passage to the fluid limit as suggested in Hilbert’s sixth problem. In recent joint work with YuDeng (University of Chicago) and Xiao Ma (University of Michigan), we extend Lanford’s theorem to long times—specifically, for as long as the solution of the Boltzmann equation exists. This allows us to carry out the fluid limit, and derive the fluid equations in the Boltzmann–Grad limit.The underlying strategy builds on earlier joint work with Yu Deng that resolved the parallel problem in wave kinetic theory (also known as wave turbulence theory), in which colliding particles are replaced by nonlinear waves. In this talk, we will review this progress and discuss several future directions that remain unsolved, and still lie under the broad umbrella of Hilbert’s sixth problem.
Il premio Internazionale Tullio Levi-Civita è stato creato nel 2010 e attribuito dal M&MoCS - "International research center for Mathematics&Mechanics of complex systems" ogni anno a un massimo di due studiosi di profonda e estensiva qualificazione scientifica nella Meccanica Teorica ed Applicata o in Matematica.
Organizzatori:M&MoCS - International research center for Mathematics & Mechanics of Complex Systems, Università degli Studi dell'Aquila, Istituto per le Applicazioni del Calcolo del Cnr.
Sarà attivato un collegamento streaming.
