Stefano Pasquali

Previous positions

• 2021: qualification for the “Maître de conférences” title, France, under section 26 - Mathématiques appliquées et applications des mathématiques 

• October 2020-August 2022: co-organizer of the ``Seminar on Analysis, Geometry, and PDEs'' weekly seminar activity, Lund
• 2020: review of a grant proposal for the National Science Center, Poland

Education

Publications and preprints

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

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. Groves, E. Lokharu, 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)

• R. Bianchini, A. Maspero and S. Pasquali, paper in preparation (keywords: instability, internal water waves)

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

Collaborators

• Giancarlo Benettin (Università degli Studi di Padova)

• Roberta Bianchini (IAC CNR Roma)

• Roberto Feola (Università degli Studi Roma Tre)

• Matteo Gallone (SISSA)

• Filippo Giuliani (Politecnico di Milano)

• Mark Groves (Universität des Saarlandes)

• Marcel Guardia (Universitat de Barcelona)

• Emanuele Haus (Università degli Studi Roma Tre)

• Evgeniy Lokharu (Lunds Universitet)

• Pau Martin (Universitat Politécnica de Catalunya)

• Alberto Maspero (SISSA)

• Dag Nilsson (Mid Sweden University)

• Antonio Ponno (Università degli Studi di Padova)

• Erik Wahlén (Lunds Universitet)

Scientific Communications (in the last 5 years)

• 21st January 2025: Seminar, “Asymmetrical 3D water waves on Beltrami flows”, Dynamical Systems and PDEs seminars, SISSA, Trieste, Italy

• 5th June 2024: Seminar, “Study of a generalized Dirichlet-Neumann operator for 3D water waves with general vorticity”, Oberseminar Angewandte Analysis, Department of Mathematics, Saarbrücken, Germany

• 21st May 2024: Seminar, “Study of a generalized Dirichlet-Neumann operator for 3D water waves with general vorticity”, PDE Seminars, Matematikcentrum, Lund, Sweden

• 8th February 2024: Seminar, “Asymmetrical 3D water waves on Beltrami flows”, Groupe de travail EDP, Laboratoire d’Analyse et de Mathématiques Appliquées, Université Gustave Eiffel, Créteil, France

• 21th September 2023: Seminar, “Asymmetrical 3D water waves on Beltrami flows”, Order and Randomness in Partial Differential Equations, Institut Mittag-Leffler, Sweden

• 27th June 2023: Seminar, “Instability phenomena in PDEs and applications”, MathInGP Postdoctoral Research Symposium, Campus Jussieu,

Paris, France

• 10th May 2023: Seminar, “An energy cascade phenomenon for a Klein-Gordon lattice”, Analysis Seminars, Department of Mathematics and Physics, Università degli Studi Roma Tre, Rome

• 13th Mar. 2023: Seminar, “Continuous approximation of multidimensional Hamiltonian lattices”, PDE Seminars, Matematikcentrum, Lund, Sweden

• 22nd Feb.2023: Seminar, “Continuous approximation of multidimensional Hamiltonian lattices”, Oberseminar Angewandte Analysis, Department of Mathematics, Saarbrücken, Germany

• 27th Oct. 2022: Seminar, “Asymmetrical 3D Gravity Waves on Beltrami Flows”, Laboratoire de Mathématiques d’Orsay, Université Paris-Saclay, Orsay, France

• 5th Jul. 2022: Poster session, “Asymmetrical 3D Gravity Waves on Beltrami Flows”, Conference "Global and Local Aspects in Dynamical Systems", Barcelona, Spain

• 28th Jun. 2022: Seminar, “Asymmetrical 3D Gravity Waves on Beltrami Flows”, Department of Mathematics, Saarbrücken, Germany

• 16th Mar. 2022: Invited talk, “Asymmetrical 3D Gravity Waves on Beltrami Flows”, Minisymposium Analysis of Water Waves, SIAM Conference on Analysis of Partial Differential Equations 2022, Berlin, Germany

• 15th Feb. 2022: Contributed talk, “Metastability in 2D rectangular lattices with nearest-neighbour interaction”, Mathematics of Wave Phenomena,

Karlsruhe Institute of Technology, Karlsruhe, Germany

• 19th Jan. 2022: Seminar, “Metastability in 2D rectangular lattices with nearest-neighbourinteraction”, Department of Mathematics, Technical Universität München, München, Germany

• 2nd Nov. 2021: Seminar, “Chaotic-like transfers of energy in Hamiltonian PDEs”, Department of Mathematics, Università degli Studi di Roma Tor

Vergata, Rome

• 30th Jul.2021: Contributed talk, “Chaotic-like transfers of energy in Hamiltonian PDEs”, Young Researchers Symposium (YRS), International

Congress of Mathematical Physics 2021(ICMP 2021), University of Geneva, Switzerland

• 17th Dec. 2020: Seminar, “Chaotic-like transfers of energy in Hamiltonian PDEs”, Online North East PDE and Analysis Seminar (ONEPAS), co-

organized by Carnegie Mellon University - Department of Mathematical Sciences, University of Toronto - Math Department and Brown University

- Department of Mathematics

• 22nd Sept. 2020: Seminar, “Transfer of energy in nonlinear Hamiltonian PDEs”, Seminar on Analysis, Geometry, and PDEs, Matematikcentrum, Lund, Sweden