Publications

PUBLICATIONS
  • M. Guardia, Z. Hani, E. Haus, A. Maspero and M. Procesi.  A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equationRendiconti Lincei – Matematica e Applicazioni. 30 (2019), pp 865–880
    DOI: 10.4171/RLM/873
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  • M. Guardia, V. Kaloshin and J. Zhang.  Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem. Archive for Rational Mechanics and Analysis 233 (2019) Issue 2, pp 799–836.
    DOI: 10.1007/s00205-019-01368-7
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  • O.M.L. Gomide, M. Guardia, T-M. Seara. Critical velocity in kink-defect interaction models: Rigorous results. Journal of Differential Equations (2020).
    DOI: 10.1016/j.jde.2020.02.030
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  • R. Feola, F. Giuliani, M. Procesi. Reducible KAM Tori for the Degasperis-Procesi equation. Commun. Math. Phys. (2020) 377, 1681–1759.
    DOI: 10.1007/s00220-020-03788-z 
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  • F. Giuliani, M. Guardia, P. Martin, S. Pasquali. Chaotic-like Transfers of Energy in Hamiltonian PDEs. Commun. Math. Phys. (2021)
    DOI: 10.1007/s00220-021-03956-9
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  • F. Giuliani, M. Guardia, P. Martin, S. Pasquali, Chaotic Resonant Dynamics and Exchanges of Energy in Hamiltonian PDEs, Rendiconti Lincei – Matematica e Applicazioni. 32 (2021), pp 149–165.
    DOI: 10.4171/RLM/931
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  • F. Giuliani. Transfers of energy through fast diffusion channels in some resonant PDEs on the circle. Discrete & Continuous Dynamical Systems (2021).
    DOI: 10.3934/dcds.2021068
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  • M. Guardia, J. Paradela, T-M. Seara and C. Vidal. Symbolic Dynamics in the restricted elliptic isosceles three body problemJournal of Differential Equations (2021).
    Published online May 2021
    DOI: 10.1016/j.jde.2021.05.017
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  • R. Feola and F. Giuliani, Quasi Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under GravityMemoirs of the American Mathematical Society (2021). 
PREPRINTS
  • M. Gallone and S. Pasquali, Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction, arXiv:191112648, preprint November 2019.
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  • R. Feola, F. Giuliani, Time Quasi-Periodic Traveling Gravity Water Waves in Infinite Depth, arXiv:2011.12794, preprint November 2020.
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  • M. Guardia, J. Paradela, T-M. Seara, C. Vidal, Symbolic Dynamics in the Elliptic Isosceles Restricted Three Body Problem, arXiv:2012.04696, preprint December 2020.
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  • M. J. Capiński, M. Guardia, P. Martín, T-M. Seara, P. Zgliczyński, Oscillatory Motions and Parabolic Manifolds at Infinity in the Planar Circular Restricted Three Body Problem, arXiv:2106.06254v1, preprint June 2021.
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  • O. M. L. Gomide, M. Guardia, T. M. Seara and C. Zeng, On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting, arXiv:2107.14566, preprint July 2021.
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  • I. Baldomá, M. Giralt, and M. Guardia, Breakdown of homoclinic orbits to L3 in the RPC3BP — I: Complex singularities and the inner equation, arXiv:2107.09942, preprint July 2021. 
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  • I. Baldomá, M. Giralt, and M. Guardia, Breakdown of homoclinic orbits to L3 in the RPC3BP — II: An asymptotic formula, arXiv:2107.09941, preprint July 2021.
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