Publications:

MC. Arnaud, JE. Massetti, A. Sorrentino, "On the fragility of periodic tori for families of symplectic twist maps". Advances in Mathematics, vol. 429, 109175, ISSN: 0001-8708, 2023

L. Asselle, G. Benedetti, M. Berti,  ``Zoll magnetic systems on the two-torus: a Nash-Moser construction",  Advances in Mathematics,  452, 2024

P. Baldi, F. Giuliani, M. Guardia, E. Haus, "Effective chaos for the Kirchhoff equation on tori". Ann. Inst. H. Poincaré C Anal. Non Linéaire 42, no. 2, pp. 281–330, 2025

P. Baldi, D.A. La Manna, G. La Scala, "Bifurcation from multiple eigenvalues of rotating traveling waves on a capillary liquid drop”. Preprint, arXiv:2504.01555

P. Baldi, V. Julin, D.A. La Manna, "Liquid drop with capillarity and rotating traveling waves", preprint, arXiv:2408.02333

P. Baldi, "Nearly toroidal, periodic and quasi-periodic motions of fluid particles driven by the Gavrilov solutions of the Euler equations”. J. Math. Fluid Mech. 26, no. 1, 1-35, 2024

P. Baldi, E. Haus, "Normal form and dynamics of the Kirchhoff equation”. Bollettino dell’Unione Matematica Italiana, Volume 16, Issue 2, pp. 337- 349, 2023

D. Bambusi, ``Bounds on the growth of energy for particles on the torus with unbounded time dependent perturbations,'', J. Math. Phys., vol. 65, no. 8, pp. Paper No. 082701, 13, 2024

D. Bambusi, A. Belloni, F. Giuliani, ``Non relativistic limit of the nonlinear Klein-Gordon equation: Uniform in time convergence of KAM solutions,'' Arxiv: 2501.17691, 2025

D. Bambusi, J. Bernier, B.Grèbert, R.Imekraz, ``Almost global existence for hamiltonian PDEs on compact manifolds,’' Arxiv:2502.17969, 2025

D. Bambusi, B. Grébert, A. Maspero, D. Robert, C. Villegas-Blas, "Long time dynamics for the Landau Hamiltonian with a time dependent magnetic field", to appear in EMS Surv. Math. Sci. 

D. Bambusi, R. Feola, B. Langella, F. Monzani, "Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow". Nonlinearity, 38 055013, 2025

D. Bambusi, B. Langella, ``Globally integrable quantum systems and their perturbations, INdAM-Springer Series, Springer International Publishing, pp. 64-103, 2024

D. Bambusi, B. Langella, ``Growth of sobolev norms in quasi integrable quantum systems,'' Arxiv:2402.00521, 2024. Annales Sci. ENS, to  appear

D. Bambusi, R. Feola, R. Montalto, "Almost global existence for some Hamiltonian PDEs  with small Cauchy data on general tori". Commun. Math. Phys.  405:15, 2024

D. Bambusi, P. Gérard, ``A Nekhoroshev theorem for some perturbations of the Benjamin-Ono equation with initial data close to finite gap tori,'', Math. Z., vol.307, no. 3, pp. Paper No. 54, 20, 2024

D. Bambusi, S. Paleari, ``A couple of BO equations as a  normal form for the interface problem,'' AIMS Math., vol. 9, no. 8, pp. 23012--23026, 2024

S. Barbieri, JP Marco, JE Massetti, "Analytic Smoothing and Nekhoroshev Estimates for Hölder Steep Hamiltonians". Commun. Math. Phys., vol. 396, p. 349-381, ISSN: 1432-0916,  2022

T. Barbieri, M. Berti, A. Maspero, M. Mazzucchelli,  "Bifurcation of gravity-capillary Stokes waves with constant vorticity",  arXiv:2501.14353

J. Bellazzini, V. D. Dinh, L. Forcella, "Scattering for non-radial 3D NLS with combined nonlinearities". SIAM J. Math. Anal. Vol. 56, Iss. 3, 3110-3143, 2024

J. Bellazzini, V. Georgiev, "Compact Embeddings for Fractional Super and Sub Harmonic Functions with Radial Symmetry". Journal of Fourier Analysis and Applications 30:27, 2024

J. Bellazzini, L. Forcella, V. Georgiev, "Ground state energy threshold and blow-up for NLS with competing nonlinearities". Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)Vol. XXIV, 955-988, 2023

J. Bellazzini, D. Ruiz, "Finite energy traveling waves for the Gross-Pitaevskii equation in the subsonic regime". Amer. J. Math. 145, 1, 109-149, 2023

J. Ben-Artzi, F. Cacciafesta, A.S. de Suzzoni, J. Zhang, "Global Strichartz estimates for the Dirac equation on symmetric spaces", with Forum of Mathematics, Sigma, 10:e 25, 1–38, 2022

D. Berti, F. Planchon, N. Tzvetkov, N. Visciglia, "New bounds on the high Sobolev norms of the 1D NLS solutions". Journal of Differential Equations, 430, 113-202, 2025

M. Berti, L. Corsi, A. Maspero, P. Ventura, "Infinitely many isolas of modulational instability for Stokes waves",  arxiv.org/abs/2405.05854, 2024 

M. Berti, L. Corsi, A. Maspero, P. Ventura, "On higher order isolas of unstable Stokes waves",  arXiv:2501.01390

M. Berti, S. Cuccagna, F. Gancedo, S. Scrobogna,  "Paralinearization and extended lifespan for solutions of the  \alpha-SQG sharp front equation",  Advances in Math. Volume, 460, 2025

M.  Berti, R. Feola, M. Procesi, S.Terracina, "Reducibility of Klein-Gordon equations with maximal order perturbations", to appear on Memoires EMS. 

M. Berti, R. Feola, F. Pusateri,  ``Birkhoff normal form and long time existence for periodic gravity water waves”,  Communications Pure Applied Mathematics,  Volume 76, Issue7, Pages 1416-1494, 2023 

M. Berti, L. Franzoi, A. Maspero,  ``Pure gravity traveling quasi-periodic water waves with constant vorticity",  Communications Pure Applied Mathematics, Volume77, Issue 2, 990-1064, 2024

M. Berti, Z. Hassaina, N. Masmoudi, "Time quasi-periodic vortex patches”, Inventiones Math, 233, pages 1279-1391, 2023

M. Berti, B. Langella, D. Silimbani "Time periodic solutions of completely resonant Klein-Gordon equations on S^3",  Annales de l'Institute Henry Poincaré, Analyse non lineaire, DOI 10.4171/AIHPC/125, 2024

M. Berti, A. Maspero, F. Murgante, "Hamiltonian paradifferential Birkhoff normal form for water waves",  Regular and Chaotic Dynamics, Vol. 28, Nos. 4-5, pp. 543-560, 2023

M. Berti, A. Maspero, F. Murgante,``Hamiltonian Birkhoff normal form for gravity-capillary water waves with constant vorticity: almost global existence", Annals of PDEs 10, 22, 2024

M. Berti, A. Maspero, P. Ventura,  ``Full description of Benjamin-Feir instability of Stokes waves in deep water",  Inventiones Math., 230, no. 2, 651–711, 2022

M. Berti, A. Maspero, P. Ventura,  ``On the analyticity of the Dirichlet-Neumann operator and Stokes waves",  Rendiconti Lincei Matematica e Applicazioni,  33, 611-650, 2022

M. Berti, A. Maspero, P. Ventura,  ``Benjamin-Feir instability of Stokes waves in finite depth",  Archive Rational Mechanics, 247, 91,  2023

M. Berti, A. Maspero, P. Ventura, ``Stokes waves at the critical depth are modulational unstable",  Comm. Math. Phys. 405-56, 2024

M. Berti, A. Maspero, P. Ventura, "First isola of modulational instability of Stokes waves in deep water",  arxiv.org/abs/2401.14689, 2024,  to appear on  EMS Surveys in Mathematical Sciences 

M. Bertsch, F. Smarrazzo, A. Terracina, A. Tesei, "Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations". Journal of hyperbolic differential equations 18, 857-898,  2021

M. Bertsch, F. Smarrazzo, A. Terracina, A. Tesei, "Discontinuous Solutions of Hamilton-Jacobi Equations Versus Radon Measure-Valued Solutions of Scalar Conservation Laws: Disappearance of Singularities”. Journal of dynamics and differential equations, 35, 455-491, 2023

M. Bertsch, F. Smarrazzo, A. Terracina  A. Tesei, "Measure-valued solutions of scalar hyperbolic conservation laws, Part 1: Existence and time evolution of singular parts." Nonlinear Analysis, 245, 2024

M. Bertsch, F. Smarrazzo, A. Terracina, A. Tesei, "Measure-valued solutions of scalar hyperbolic conservation laws, Part 2: Uniqueness”. To appear in Nonlinear Analysis

L. Biasco, L. Corsi, G. Gentile, M. Procesi, "Asymptotically full measure sets of almost-periodic solutions for the NLS equation" (preprint 2024)

L. Biasco, J.E. Massetti, M. Procesi, "Small amplitude weak almost periodic solutions for the 1D NLS", Duke Math. J. 172, no. 14, 2643–2714, 2023

A. Bui, P. D'Ancona, X. T. Duong, "On sharp estimates for Schrödinger groups of fractional powers of nonnegative self-adjoint operators”. J. Differential Equations 381, 260-292, 2024

T. A. Bui, P. D'Ancona, "Generalized Hardy Operators”. Nonlinearity 36, 171-198, 2023

N. Burq, V. Georgiev, N. Tzvetkov, N. Visciglia, "H^1 scattering for mass-subcritical NLS with short range nonlinearity and initial data in Sigma". Annales Henri Poincaré, 24 (4), 1355-1376, 2023

N. Burq, H. Koch, N. Tzvetkov, N. Visciglia, "Almost surely smoothed scattering for cubic NLS", arxiv 2406.07713

A.P. Bustamante, A.Celletti, C. Lhotka, "The dynamics of the spin–spin problem in Celestial Mechanics”. Communications in Nonlinear Science and Numerical Simulation, 142, 2025

A.P. Bustamante,  "Computation of domains of analyticity of lower dimensional tori in a weakly dissipative Froeschlé map”. Communications in Nonlinear Science and Numerical Simulation, 142, 2025

F. Cacciafesta, P. D'Ancona, Z. Yin, J. Zhang, "Dispersion estimates for Dirac equations in Aharonov-Bohm magnetic fields I: massless case", submitted

F. Cacciafesta, E. Danesi, L. Meng, "Strichartz estimates for the half wave-Klein-Gordon and Dirac Equations on compact manifolds without boundary”.  Math. Ann. 389, 3009–3042, 2024

F. Cacciafesta, A.S. de Suzzoni, L. Meng, J. Sok, "Large time well posedness for a Dirac-Klein Gordon system”. Nonlinear Anal. 239, 2024

F. Cacciafesta, A.S. de Suzzoni, L. Meng, "Strichartz estimates for the Dirac equation on asymptotically flat manifolds", Ann. Sc.  Norm. Super. Pisa Cl. Sci, (5) Vol. XXV, 1799-1812, 2024

F. Cacciafesta, E. Séré, J. Zhang, "Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications", Comm. Partial Differential Equations 48, 355-385, 2023

R. Carles, M. Hayashi, T. Ozawa, "Low regularity solutions for the logarithmic Schrodinger equation". Pure and Appl. Anal. 6 (3), 859-871, 2024

M. Cimaglia, M. Gengo, L. Pizzocchero, "Cosmologies with perfect fluids and scalar fields  in Einstein's gravity: phantom scalars and nonsingular  universes", Universe 10(12), 467 (134 pp), 2024.  (Special Issue Universe:  Feature Papers 2024-Cosmology, edited  by Jaime Haro Cases and Supriya Pan)

L. Corsi, G. Gentile, M. Procesi, "Maximal tori in infnite-dimensional Hamiltonian systems: a Renormalization Group approach", Regular and Chaotic Dynamics, 29(4), pp. 677–715, 2024

L. Corsi, G. Gentile, M. Procesi, "Almost-periodic solutions to the NLS equation with smooth convolution potentials" (preprint 2023)

S.Cuccagna, M.Maeda, "On stabilization at a soliton for generalized Korteweg--De Vries pure power equation for any power p in (1,5). arxiv: 2502.0557

S.Cuccagna, M.Maeda, "The asymptotic stability on the line of ground states of the pure power NLS with 0 < |p-3|<<1". arxiv: 2404.14287

S.Cuccagna, M.Maeda, "On small energy solutions of the NLS in 1D with a generic trapping potential with a single eigenvalue". Mathematics, 12(24), 3876, 2024

S.Cuccagna, M.Maeda, "On the asymptotic stability of ground states of the pure power NLS on the line at 3rd and 4th order Fermi Golden Rule”. arxiv:2405.01922.

S.Cuccagna, M.Maeda, "The asymptotic stability on the line of ground states of the pure power NLS with 0<|p-3|<< 1", J. Funct. Anal., 110861, 2025

S. Cuccagna, M. Maeda, “A note on the Fermi Golden Rule constant for the pure power NLS". To appear in Rendiconti dell' Istituto di Matematica dell' Università Trieste. arXiv:2405.01922

S. Cuccagna, M. Maeda, F. Murgante, S. Scrobogna, "On the asymptotic stability on a center hypersurface at the soliton for even solutions of the NLKG when 2 \geq p > 5/3. SIAM J. Math. Anal., 56, 5445-5473, 2024

S.Cuccagna, M.Maeda, S.Scrobogna, "Small energy stabilization for 1D NLKG equations". J. Differential Equations 350,52, 2023

S.Cuccagna, M.Maeda,"Asymptotic stability of kink with internal modes under odd perturbation". Nonlinear Differ. Equ. Appl. NoDEA 30:1, 2023

S.Cuccagna, M.Maeda. "On selection of standing waves at small energy in 1D cubic NLS with a trapping potential". Comm. Math. Phys. 396, 1135-1186, 2022

S.Cuccagna, M.Maeda, "Revisting asymptotic stability of solitons of NLS via refined profile method". Journal of Evolution Equations, 22 (51), 2022 

P. D'Ancona, R. Schnaubelt, "Global Strichartz estimates for an inhomogeneous Maxwell system", Communications in PDE 47 630-675, 2022

P. D'Ancona, L. Fanelli, D. Krejčiřík, N. Schiavone, "Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators", Nonlinear Analysis 214 Paper No. 112565, 2022

P. D'Ancona, L. Fanelli, N. Schiavone, "Eigenvalue bounds for non-selfadjoint Dirac operators”. Math. Annalen 383, 621-644, 2022

P. D'Ancona, A. Zanni, "Scattering for the defocusing NLS on the line with variable coefficients", submitted

P. D'Ancona, D. Fiorletta, "A dynamical Amrein-Berthier uncertainty principle", submitted

P. D'Ancona, Z. Yin, "Magnetic uniform resolvent estimates",  submitted

A. Debussche, R. Liu, N. tzvetkov, N. Visciglia, "Global well-posedness of the 2D NLS with multiplicative white noise in the full space". Probability theory and Related Field, 189 (3-4), pp. 1161-1218, 2024

Feola, R., Iandoli, F. "Local well-posedness for the quasi-linear Hamiltonian Schrödinger equation on tori”, Journal des Mathematiques Pures et Appliqueés 157, pp. 243–281, 2022

R. Feola, F. Iandoli, F. Murgante, "Long-time stability of the quantum hydrodynamic system on irrational tori," Mathematics in Engineering, 2022 

R. Feola, J.E. Massetti, "Sub-exponential stability for the Beam equation".  Journal of Differential Equations 356 188--242, 2023 https://doi.org/10.1016/j.jde.2023.01.038

R. Feola, J.E. Massetti , "Non-resonant conditions for the Klein-Gordon equation on the circle". Regular and Chaotic Dynamics, 29(4):541--564, 2024

R. Feola, J.E. Massetti , "On the lifespan of solutions and control of high Sobolev norms for the completely resonant NLS on tori", Journal of Functional Analysis,  287(12), 110648, 2024 

R. Feola, F. Giuliani, F. Iandoli, J.E. Massetti, "Local well posedness for a system of quasilinear PDEs modelling suspension bridges", Nonlinear Analysis, Theory, Methods and Applications, 240, 113442, 2024. 

R. Feola, F. Giuliani, "Long time dynamics of quasi-linear Hamiltonian Klein-Gordon equations on the circle", Journal of Dynamics and Differential Equations, 2024.

R. Feola, R.Montalto, "Quadratic lifespan and growth of Sobolev norms for derivative Schrödinger equations on generic tori”, Journal of Differential Equations 312, pp. 276–316, 2022

D. Fermi, L. Pizzocchero, "On the Casimir Effect with \delta-Like Potentials, and a Recent Paper by K. Ziemian,  Ann. Henri Poincaré, 2021”, Ann. Henri Poincaré, 24, 2363-2400, 2023

N. Fukaya, M. Hayashi, "Instability of stationary solutions for double power NLS in one dimension". Partial Differ. Equ. Appl. 6 (1), 2025 

M. Gallone, B. Langella, "Prethermalization and conservation laws in quasi‐periodically driven quantum systems". Journal of Statistical Physics, 191:100, 2024

C. Garcia, Z. Hassainia, E. Roulley, "Dynamics of vortex cap solutions on the rotating unit sphere". Journal of Differential Equations 417 (Feb. 2025), 1–63

M. Ghisi, M. Gobbino, "Resonance effects for linear wave equations with scale invariant oscillating damping". Journal of Differential Equations 408, 64-93, 2024

M. Ghisi, M. Gobbino, "Almost global existence for Kirhoff equations around global solutions", SIAM J. Math. Anal. 56 1936-1858, 2024

M. Ghisi, M. Gobbino, "A road map to blow-up for a Kirchoff equation with external force". Nonlinearity 37, 015012, 2024

M. Ghisi, M. Gobbino, "Generalized energy conservation for linear wave equations with time-dependent propagation speed", in stampa su Mathematische Annalen, 2025 

M. Guardia, Z. Hani, E.Haus, A. Maspero, M. Procesi, "Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation."  J. Eur. Math. Soc., 2022

M. Hayashi, T. Ozawa, "The Cauchy problem for the logarithmic Schrodinger equation revisited", Ann. Henri Poincaré 26 (4), 1209-1238, 2025

M. Hayashi, T. Ozawa, N. Visciglia. "Global H^2 solutions for the generalized derivative NLS on \T". SIAM J. Math. Anal. 57 (2), pp. 1483-1501, 2025

Z. Hassainia, T. Hmidi, E. Roulley. "Invariant KAM tori around annular vortex patches for 2D Euler equations". Communications in Mathematical Physics 405 (2024), no. 270, 1-127

Z. Hassainia, T. Hmidi, E. Roulley, "Desingularization of time-periodic vortex motion in bounded domains via KAM tools", preprint arxiv

E. Haus, B. Langella, A. Maspero, M. Procesi: "Reducibility and nonlinear stability for a quasi-periodically forced NLS". Pure and Applied Mathematics Quarterly, 20(3): 1313 - 1370, 2022

T. Hmidi, H. Houamed, E. Roulley, M. Zerguine, "Uniformly rotating vortices for the lake equation". Mathematische Annalen (2025)

L. Jeanjean, J. Jendrej, T.T. Le, N. Visciglia. "Orbital stability of ground states for a Sobolev critical Schroedinger equation". Journal des Mathematiques Pures et Appliqueés 164, pp. 158-179, 2022

C. Kenig, A. Nahmod, N. Pavlovic, G. Staffilani, N. Visciglia, "Well-posedness and invariant measures for complex valued modified KdV equation". arxiv:2501.14920 

B. Langella, A. Maspero, M. T. Rotolo, "Growth of Sobolev norms for completely resonant quantum harmonic oscillators on ℝ^2" J. Diff. Eq. 433: 113221, 2025

G. M. Marin, F. Bonetto, L. Corsi, "Analiticity of the Lyapunov exponent of perturbed toral automorphisms" (preprint 2023, accettato da JMP 2025)

A. Maspero, F. Murgante, "One dimensional energy cascades in a fractional quasilinear NLS" 

A. Maspero, A. M. Radakovich, "Full description of Benjamin-Feir instability for generalized Korteweg-de Vries equations", to appear in SIAM journal of Math. Anal. 

JE  Massetti, "Attractive Invariant Circles à la Chenciner". Regular and Chaotic Dynamics, vol. 28, p. 447-467, ISSN: 1560-3547, 2023

R. Montalto, F. Murgante, S. Scrobogna, "Quadratic lifespan for the sublinear α-SQG sharp front problem", JDDE, 2024 

F. Murgante, E. Roulley, S. Scrobogna, "Steady vortex sheets in presence of surface tension", preprint arxiv 

F. Murgante, E. Roulley, S. Scrobogna, "Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets", preprint arxiv

F. Planchon, N. Tzvetkov, N. Visciglia, "Growth of Sobolev norms for 2D NLS with harmonic potential". Revista Matematica Iberoamericana 39 (4), pp. 1405-1436,  2023 

F. Planchon, N. Tzvetkov, N. Visciglia, "Modfied energies for the periodic generalized KdV equation and applications". Annales de l' Institut Henri Poincaré C) Analyse Non Linéaire 40 (4), pp. 863-917, 2023. 

M. Procesi, L. Stolovitch, "About Linearization of Infinite-Dimensional Hamiltonian Systems", Communications in Mathematical Physics 394(1), pp. 39–72, 2022

E. Roulley, "Local and global bifurcation of electron-states", Discrete and Continuous Dynamical Systems 45 (2025), no. 8, 2381–2419

N. Tzvetkov, N. Visciglia, "Global Dynamics for 2D NLS with white noise and generic polynomial nonlinearity". Communications in Mathematical Physics, 401 (3), pp. 3109-3121, 2023.