Si segnala il seguente seminario:
Lunedì 22 Aprile 2024, ore 16:00, Sala di Consiglio, Dipartimento di
Matematica "Guido Castelnuovo", Sapienza Università di Roma.
*Speaker*: Andrea Agazzi (Università di Pisa)
*Title*: Random Splitting of Fluid Models: Ergodicity, Convergence and
Lyapunov exponents
*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.
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Vittoria Silvestri
Assistant Professor
Department of Mathematics
University "La Sapienza"
Piazzale Aldo Moro, 5
00185 - Rome
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