Stefano Pasquali

at BGSMath - UPC
Research area: Dynamical Systems

PhD in Mathematics obtained at Università degli Studi di Milano (2017)

Biosketch

September 2013: Master degree in Mathematics at the Università degli Studi di Padova (Padua, Italy)

Master thesis title: Covariant Lyapunov vector for the FPU model (advisor: Prof. G. Benettin; co-advisor: Prof. A. Ponno)

April 2017: PhD in Mathematics at the Università degli Studi di Milano (Milan, Italy)

PhD thesis title: Long time dynamics of the Klein-Gordon equation in the nonrelativistic limit (advisor: Prof. D. Bambusi)

October 2017 - September 2018: PostDoc at Università degli Studi Roma Tre (Rome, Italy), within the ERC project "Hamiltonian PDE's and small divisor problems: a dynamical systems approach" (principal investigator: Prof. M. Procesi)

Research lines

Hamiltonian Systems,

Hamiltonian Partial Differential Equations

Selected publications

• S. Pasquali, Almost global existence for the nonlinear Klein-Gordon equation in the nonrelativistic limit, J. Math. Phys. 59, 011502 (2018)
• S. Pasquali, A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential, Discr. Cont. Dyn. Sys. B 23 (9), 3573-3594, doi:10.3934/dcdsb.2017215
• G. Benettin, S. Pasquali and A. Ponno, The Fermi-Pasta-Ulam problem and its underlying integrable dynamics: an approach through Lyapunov Exponents, J. Stat. Phys. 171 (4), 521-542
• R. Feola, F. Giuliani and S. Pasquali, On the integrability of Degasperis-Procesi equation: control of the Sobolev norms and Birkhoff resonances, to appear on J. Diff. Eq., https://doi.org/10.1016/j.jde.2018.09.003
• S. Pasquali, Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit, to appear on Annali Mat. Pura ed Applicata, https://doi.org/10.1007/s10231-018-0805-1