Top-level heading

Random Splitting of Fluid Models: Ergodicity, Convergence and Lyapunov exponents

Data e ora inizio evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica Guido Castelnuovo

Speaker
Andrea Agazzi
Affiliazione
Università di Pisa
ABSTRACT: We consider a family of processes obtained by decomposing the deterministic dynamics associated with some fluid models (e.g. Lorenz 96, 2d Galerkin-Navier-Stokes) into fundamental building blocks - i.e., minimal vector fields preserving some fundamental aspects of the original dynamics - and by sequentially following each vector field for a random amount of time. We characterize some ergodic properties of these stochastic dynamical systems and discuss their convergence to the original deterministic flow in the small noise regime. Finally, we show that the top Lyapunov exponent of these models is positive. This is joint work with Jonathan Mattingly and Omar Melikechi.
Data pubblicazione evento