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Fábio Natali
Fábio Natali
Associate Professor - State University of Maringa
Verified email at uem.br - Homepage
Title
Cited by
Cited by
Year
Positivity properties of the Fourier transform and the stability of periodic travelling-wave solutions
JA Pava, FMA Natali
SIAM journal on mathematical analysis 40 (3), 1123-1151, 2008
1032008
The fourth-order dispersive nonlinear Schrödinger equation: Orbital stability of a standing wave
F Natali, A Pastor
SIAM Journal on Applied Dynamical Systems 14 (3), 1326-1347, 2015
462015
Stability and instability of periodic travelling waves solutions for the critical Korteweg-de Vries and non-linear Schrödinger equations
J Angulo, F Natali
Physica D 238 (6), 603-621, 2009
462009
Stability and instability of periodic standing wave solutions for some Klein–Gordon equations
FMA Natali, AP Ferreira
Journal of mathematical analysis and applications 347 (2), 428-441, 2008
392008
Orbital stability of periodic waves
F Natali, A Neves
IMA Journal of Applied Mathematics 79 (6), 1161-1179, 2014
382014
Decay of solutions to damped Korteweg–de Vries type equation
MM Cavalcanti, VN Domingos Cavalcanti, A Faminskii, F Natali
Applied Mathematics & Optimization 65, 221-251, 2012
372012
Qualitative aspects for the cubic nonlinear Schrödinger equations with localized damping: exponential and polynomial stabilization
MM Cavalcanti, VND Cavalcanti, JA Soriano, F Natali
Journal of Differential Equations 248 (12), 2955-2971, 2010
342010
On the instability of periodic waves for dispersive equations
JA Pava, F Natali
Differ. Integral Equ 29, 9-10, 2016
322016
Sufficient conditions for orbital stability of periodic traveling waves
G Alves, F Natali, A Pastor
Journal of differential equations 267 (2), 879-901, 2019
312019
Instability of H1-stable peakons in the Camassa–Holm equation
F Natali, DE Pelinovsky
Journal of Differential Equations 268 (12), 7342-7363, 2020
292020
Exponential stability for the -D defocusing Schrödinger equation with locally distributed damping
MM Cavalcanti, VN Domingos Cavalcanti, R Fukuoka, F Natali
272009
New variational characterization of periodic waves in the fractional Korteweg–de Vries equation
F Natali, U Le, DE Pelinovsky
Nonlinearity 33 (4), 1956, 2020
262020
A note on the stability for Kawahara–KdV type equations
F Natali
Applied mathematics letters 23 (5), 591-596, 2010
252010
(Non) linear instability of periodic traveling waves: Klein-Gordon and KdV type equations
JA Pava, F Natali
Advances in Nonlinear Analysis 3 (2), 95, 2014
212014
Stability properties of periodic traveling waves for the intermediate long wave equation
JA Pava, E Cardoso Jr, F Natali
Revista Matemática Iberoamericana 33 (2), 417-448, 2017
202017
An example of non-decreasing solution for the KdV equation posed on a bounded interval
GG Doronin, FM Natali
Comptes Rendus. Mathématique 352 (5), 421-424, 2014
182014
Orbital stability of periodic traveling wave solutions for the Kawahara equation
TP de Andrade, F Cristófani, F Natali
Journal of Mathematical Physics 58 (5), 2017
162017
Stability Properties of Periodic Standing Waves for the Klein-Gordon-Schrodinger System
F Natali, A Pastor
arXiv preprint arXiv:0907.2142, 2009
162009
Periodic waves in the fractional modified Korteweg–de Vries equation
F Natali, U Le, DE Pelinovsky
Journal of Dynamics and Differential Equations 34 (2), 1601-1640, 2022
152022
Stability of smooth periodic travelling waves in the Camassa–Holm equation
A Geyer, RH Martins, F Natali, DE Pelinovsky
Studies in Applied Mathematics 148 (1), 27-61, 2022
152022
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