Stefano Pasquali

Publications and preprints

13. R. Bianchini, A. Maspero and S. Pasquali, Instabilities of internal gravity waves in the two-dimensional Boussinesq system,

accepted by SIAM Journal on Mathematical Analysis,

equivalent preprint on arXiv:2507.10390

12. S. Pasquali, Two-dimensional water waves with constant vorticity and general bottom topography,

Journal of Differential Equations,  478, 114609, 2026,

https://doi.org/10.1016/j.jde.2026.114609

preprint on arXiv:2505.05430

11. S. Pasquali, Analytical Study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity,

preprint on arXiv:2502.09370

10. M. Groves, D. Nilsson, S. Pasquali and E. Wahlén, Analytical Study of a generalised Dirichlet-Neumann operator and application to three-dimensional water waves on Beltrami flows, 

Journal of Differential Equations, 413, 129-189, 2024

https://doi.org/10.1016/j.jde.2024.08.039 

equivalent preprint on arXiv:2307.01702 

9. S. Pasquali, Energy cascade for the Klein-Gordon lattice, 

Discrete and Continuous Dynamical Systems, 45 (6), 1823-1869, 2025

https://www.aimsciences.org/article/doi/10.3934/dcds.2024149

equivalent preprint on arXiv:2304.07146 

8. F. Giuliani, M. Guardia, P. Martin and S. Pasquali, Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs, 

Rendiconti Lincei - Matematica e Applicazioni 32, 149-166, 2021

DOI 10.4171/RLM/931

equivalent preprint on arXiv:2011.12793 

7. F. Giuliani, M. Guardia, P. Martin and S. Pasquali, Chaotic-like transfers of energy in Hamiltonian PDEs, 

Communications in Mathematical Physics , vol. 384, 1227–1290, 2021

https://doi.org/10.1007/s00220-021-03956-9

equivalent preprint on arXiv:2006.09309

6. M. Gallone and S. Pasquali, Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction, 

Nonlinearity, vol. 34, 4983, 2021

https://doi.org/10.1088/1361-6544/ac0483 

equivalent preprint on arXiv:1911.12648

5. S. Pasquali, Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit, 

Annali di Mat. Pura ed Applicata (1923 -), 198(3), 903-972, 2019

https://doi.org/10.1007/s10231-018-0805-1 

preprint on arXiv:1703.01609 and arXiv:1712.03768

4. R. Feola, F. Giuliani and S. Pasquali, On the integrability of Degasperis-Procesi equation: control of the Sobolev norms and Birkhoff resonances, 

Journal of Differential Equations, 266 (6), 3390-3437, 2019

https://doi.org/10.1016/j.jde.2018.09.003

equivalent preprint on arXiv:1802.00035

3. G. Benettin, S. Pasquali and A. Ponno, The Fermi-Pasta-Ulam problem and its underlying integrable dynamics: an approach through Lyapunov Exponents, 

Journal of Statistical Physics, 171 (4), 521-542, 2018 

https://doi.org/10.1007/s10955-018-2017-x 

equivalent preprint on arXiv:1801.05199

 2.  S. Pasquali, A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential,

 Discrete and Continuous Dynamical Systems Series B, 23 (9), 3573-3594, 2018

https://doi.org/10.3934/dcdsb.2017215 

equivalent preprint on arXiv:1705.03105

1.  S. Pasquali, Almost global existence for the nonlinear Klein-Gordon equation in the nonrelativistic limit, 

Journal of Mathematical Physics, 59, 011502, 2018 

https://doi.org/10.1063/1.4994969 

equivalent preprint on arXiv:1703.01618

In preparation

• M. Berti, T.-Y. Hsiao, A. Maspero, S. Pasquali and C. Sun, paper in preparation (keywords: 2D water waves, modulational instability)

• M. Gallone, S. Pasquali, A. Ponno and M. Procesi, paper in preparation (keywords: Hamiltonian lattices, continuous approximation)

• M. Groves, S. Pasquali and E. Wahlén, paper in preparation (keywords: gravity-capillary 3D water waves, vorticity, Beltrami flows)

• M. Groves, D. Nilsson, S. Pasquali and E. Wahlén, paper in preparation (keywords: pure gravity 3D water waves, vorticity, Beltrami flows)

• E. Haus and S. Pasquali, paper in preparation (keywords: 2D water waves, controllability)

Collaborators

• Giancarlo Benettin (Università degli Studi di Padova)

• Roberta Bianchini (IAC CNR Roma)

• Roberto Feola (Università degli Studi Roma Tre)

• Matteo Gallone (Università degli Studi di Milano)

• Filippo Giuliani (Politecnico di Milano)

• Mark Groves (Universität des Saarlandes)

• Marcel Guardia (Universitat de Barcelona)

• Emanuele Haus (Università degli Studi Roma Tre)

• Ting-Yang Hsiao (SISSA)

• Pau Martin (Universitat Politécnica de Catalunya)

• Alberto Maspero (SISSA)

• Dag Nilsson (Linnaeus University)

• Antonio Ponno (Università degli Studi di Padova)

• Changzhen Sun (CNRS, Laboratoire de mathématiques de Besançon)

• Erik Wahlén (Lunds Universitet)