| HOME |
CURRICULUM
VITAE |
PUBLICATIONS |
TEACHING |
LINKS |
|
Publications |
|
|
R.
Feola, J.E. Massetti
Sub-exponential
stability for the Beam equation,
preprint
arXiv:2207.09986.
D.
Bambusi, R. Feola, R. Montalto
Almost
global existence for some Hamiltonian PDEs with small
Cauchy data on general tori,
preprint
arXiv:2208.00413.
R.
Feola, F. Giuliani
Long
time NLS approximation for the quasilinear Klein-Gordon
equation on large domains under periodic boundary
conditions,
preprint
arXiv:2206.11836.
R.
Feola, B. Grebért, F. Iandoli
Long
time solutions for quasi-linear Hamiltonian
perturbations of Schrödinger and Klein-Gordon equations
on tori,
Accepted
on Analysis & PDE, preprint arXiv:2009.07553.
R.
Feola, R. Montalto
Quadratic
lifespan and growth of Sobolev norms for derivative
Schrödinger equations on generic tori,
Journal
of Differential Equations, 312: 276-316 (2022).
R.
Feola, F. Iandoli
Local
well-posedness for the quasi-linear Hamiltonian
Schrödinger equation on tori,
Journal
de Mathématiques Pures et Appliquées, 157: 243-281 (2022).
R.
Feola, F. Iandoli, F. Murgante
Long-time
stability of the quantum hydrodynamic system on
irrational tori,
Mathematics
in Engineering, 4(3): 1-24 (2021).
R.
Feola, F. Giuliani
Quasi-periodic
traveling waves on an infinitely deep fluid under
gravity,
Accepted
on Memoires of the AMS, preprint arXiv:2005.08280.
M.
Berti, R. Feola, F. Pusateri
Birkhoff
normal form and long time existence for pure gravity
water waves in infinite depth,
Accepted on CPAM (2022), DOI: 10.1002/cpa.22041. J.
Bernier, R. Feola, B. Grebért, F. Iandoli
Long-time
existence for semi-linear beam equations on irrational
tori,
Journal
of Dynamics and Differential Equations 33:1363-1398
(2021).
R.
Feola, F. Giuliani
Time
quasi-periodic traveling gravity water waves in infinite
depth,
Rend.
Lincei Mat. Appl. 31: 901-916 (2020).
R.
Feola, B. Grebért, T. Nguyen
Reducibility
of Schrödinger equation on a Zoll manifold with
unbounded potential,
Journal
of Mathematical Physics, 61, 071501 (2020).
R.
Feola, F. Giuliani, M. Procesi
Reducible
KAM tori for Degasperis-Procesi equation,
Comm.
Math. Phys. 377: 1681-1759 (2020).
M.
Berti, R. Feola, L. Franzoi
Quadratic
life span of periodic gravity-capillary water waves,
Water
Waves, 3: 85-115 (2021).
M.
Berti, R. Feola, F. Pusateri
Birkhoff
normal form for Gravity Water Waves,
Water
Waves, 3 : 117-126 (2021).
R.
Feola, B. Grebért
Reducibility
of Schrödinger equation on the Sphere,
International Mathematics Research Notices 2021(19): 15082-15120 (2021). R.
Feola, F. Iandoli
Long
time existence for quasi-linear NLS with small Cauchy
data on the circle,
Ann.
Sc. Norm. Super. Pisa Cl. Sci., 22(1): 109-182 (2021).
R.
Feola, F. Giuliani, R. Montalto, M. Procesi
Reducibility
of first order linear operators on tori via Moser's
theorem,
Journal
of Functional Analysis, 276(3) : 932-970 (2019).
R.
Feola, F. Giuliani, M. Procesi
Reducibility
for a class of weakly dispersive linear operators
arising from the Degasperis Procesi equation,
Dynamics of partial differential equations, 16(1) : 25-94 (2019). R.
Feola, F. Giuliani, S. Pasquali
On
the integrability of Degasperis-Procesi equation:
Birkhoff resonances and strong stability,
Journal of differential Equations, 266(6) : 3390-3437 (2018). R.
Feola, F. Iandoli
Local
well-posedness for quasi-linear NLS with large
Cauchy data on the circle,
Annales
de l'Institut Henri Poincaré C, Analyse non linéaire, 36(1) : 119-164 (2019).
L.
Corsi, R. Feola, M. Procesi
Finite
dimensional invariant KAM tori for tame vector
fields,
Transactions
of the Amer. Math. Soc. 372 : 1913-1983 (2019).
R.
Feola, M. Procesi
Quasi-periodic
solutions for fully nonlinear forced
reversible Schrödinger equations,
Journal
of Differential equations, 259(7) : 3389-3447
(2015).
L.
Corsi, R. Feola, G. Gentile
Convergent
series for quasi-periodically forced strongly
dissipative systems,
Communications
in Contemporary Mathematics 16(3), 1350022 (2014).
L.
Corsi, R. Feola, G. Gentile
Domains
of analyticity for response solutions in strongly
dissipative forced systems,
Journal
of Mathematical Physics 54, 122701 (2013).
L.
Corsi, R. Feola, G. Gentile
Lower-dimensional invariant tori for perturbations of a class of non-convex Hamiltonian functions, Journal of Statistical Physics 150(1) : 156-180 (2013). |
''La filosofia è scritta in questo grandissimo libro che continuamente ci sta aperto innanzi a gli occhi (io dico l'universo), ma non si può intendere se prima non s'impara a intender la lingua, e conoscer i caratteri, né quali è scritto. Egli è scritto in lingua matematica, e i caratteri son triangoli, cerchi, ed altre figure geometriche, senza i quali mezzi è impossibile a intenderne umanamente parola; senza questi è un aggirarsi vanamente per un oscuro laberinto. '' G.Galilei. |