Seminario delle Meccaniche

Long time behavior of solutions of Vlasov-like equations.

by Emanuele Caglioti (Sapienza, Università di Roma)

Aula Conversi (Dipartimento di Fisica - Ed. G.Marconi)

Aula Conversi

Dipartimento di Fisica - Ed. G.Marconi

Vlasov-like equations, e.g. Vlasov Poisson Equation; 2D Euler;
and the Hamiltonian mean field model (HMF) are non-linear Liouville
equations with a mean-field Hamiltonian.  For first I'll make a short
review of known rigorous results about asymptotic behavior of the solutions
of these systems: i.e. stationary solutions, BGK waves and Landau Damping.
Then I'll present some conjectures on their long time behavior.  Finally
I'll discuss the possibility of building Eulerian periodic, and Langrangian
chaotic, solutions for Vlasov like equations in the spirit of Morita and
Kaneco 2006.
Organized by

Giovanni Gallavotti