2024

[28] Simão Correia, Filipe Oliveira & Jorge D. Silva, Sharp local well-posedness and nonlinear smoothing for dispersive equations through frequency restricted estimates, SIAM Journal on Mathematical Analysis, Vol. 56. Link 

2022

[27] Simão Correia, Filipe Oliveira & Jorge D. Silva, Mass-transfer instability of Ground States for Hamiltonian Schrödinger Systems, Journal d’Analyse Mathématique, Vol. 148(2), pp. 681-710. Link

[26] Vanessa Barros, Simão Correia & Filipe Oliveira, On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity, Differential and Integral Equations, Vol. 35, pp. 371-392. Link

2021

[25] Filipe Oliveira and Ademir Pastor, On a Schrödinger System arizing in nonlinear optics, Analysis and Mathematical Physics, Vol 11(3), pp. 123-161. Link

2019

[24] Ádan Corcho, Simão Correia, Filipe Oliveira & Jorge D. Silva, On a nonlinear Schrödinger arizing in quadratic media, Communications in Mathematical Sciences, Vol. 17, 4, pp. 969-987. Link

[23] João Paulo Dias, Filipe Oliveira & Hugo Tavares - On a coupled system of a Ginzburg-Landau equation with a quasilinear conservation law, Communications in Contemporany Mathematics. Link

2018

[22] Simão Correia & Filipe Oliveira - Scattering theory for the Schrödinger-Debye System- Nonlinearity, Vol. 31, 7, pp. 3203. Link 

2017

[21] João Paulo Dias & Filipe Oliveira - On a quasilinear non-local Benney System,  Journal of Hyperbolic Differential Equations , Vol 14, pp. 135-156. Link

2016

[20] Simão Correia, Filipe Oliveira & Hugo Tavares - Semitrival vs. fully nonlinear ground states in cooperative cubic Schrödinger systems with d>2 equations, Journal of Functional Analysis, Vol. 271, pp 2247-2273, 2016. Link

[19] Filipe Oliveira & Hugo Tavares - Ground States for a nonlinear Schrödinger system with sublinear coupling terms, Advanced Nonlinear Studies , Vol 16, pp 381-387, 2016. Link

[18] João Paulo Dias, Mário Figueira & Filipe Oliveira - Existence and linearized stability of solitary waves for a quasilinear Benney system, Proceedings of the Royal Society of Edinburgh, Vol. 146, 547-564. Link

[17] Filipe Oliveira - A note on the existence of traveling-wave solutions to a Boussinesq system, Differential Integral Equations , Vol. 29, pp. 127-136. Link

2013

[16] Carlos Banquet, Filipe Oliveira, Jaime Angulo Pava & Jorge Silva - The Regularized Boussinesq equation: Instability of periodic travelling waves , Journal of Differential Equations, Vol. 254, pp. 3994-4023. Link

[15] Adán Corcho, Filipe Oliveira & Jorge Silva - Local and Global Well-posedness for the Critical Schrödinger-Debye System, Proceedings of the American Mathematical Society, Vol. 141, pp. 3485-3499. Link

2011

[14] S. Antontsev, João Paulo Dias, Mário Figueira & Filipe Oliveira - Non-existence of global solutions for a quasilinear Benney system, Journal of Mathematical Fluid Mechanics , Vol. 13, pp 81-94. Link

[13] João Paulo Dias, Mário Figueira & Filipe Oliveira - On the Cauchy problem describing an electron-phonon interaction, Chinese Annals of Mathematics, Vol. 32, pp 483-496. Link

2010

[12] João Paulo Dias, Mário Figueira & Filipe Oliveira - Existence of bound states for the coupled Schrödinger-KdV system with cubic nonlinearity, Comptes Rendus de l' Académie des Sciences , Vol. 348, 1079-1082. Link

[11] João Paulo Dias, Mário Figueira & Filipe Oliveira - Well-posedness and existence of bound states for coupled Schrödinger-gKdV system, Nonlinear Analysis T.M.A, , Vol. 73, pp 2686-2698. Link

2009

[10] Gilberto Kremer, Filipe Oliveira & Ana Jacinta Soares - H-theorem and trend to equilibrium of chemically reacting mixtures of gases, Kinetic and Related Models , Vol.2, pp. 333-343. Link

2008

[9] Filipe Oliveira & Ana Jacinta Soares - A note on a Discrete Boltzmann Equation with multiple collisions, Journal of Mathematical Analysis and Applications , Vol. 341-2, pp. 1476-1481. Link

[8] Filipe Oliveira - Adiabatic limit of the Zakharov-Rubenchik Equation, Reports on Mathematical Physics , Vol. 28-12, pp. 13-27. Link

2007

[7] João Paulo Dias, Mário Figueira & Filipe Oliveira - Existence of strong solutions for a quasilinear Benney Equation, Comptes Rendus de l' Académie des Sciences , Vol. 344, pp. 493-496. Link

[6] Filipe Oliveira & Ana Jacinta Soares - A non-trivial explicit solution for the 14-velocity Cabannes kinetic model, Nonlinear Analysis T.M.A. 67, pp. 1167-1172. Link

2005

[5] Filipe Oliveira & Ana Jacinta Soares - On the global well-posedness of discrete Boltzmann systems, Mathematical Methods in the Applied Sciences, Vol. 28, pp.1491-1506. Link

[4] Filipe Oliveira - A class of non-local operators for Vorticity waves, Applicable Analysis , Vol. 84, pp. 1287-1302. Link

2004

[3] Filipe Oliveira - Approximation of the DNLS equation by the Cubic Nonlinear Schrödinger Equation, Proceedings of the Royal Society of Edinburgh , Vol. 134A, pp. 595-607. Link

2003

[2] Filipe Oliveira - Stability of the solitons for the one-dimensional Zakharov-Rubenchick equation in higher dimension , Physica D , Vol. 175, pp. 220-240. Link

2000

[1] Filipe Oliveira - Local analytic Solutions to the DNLS equation in higher dimension, Science University of Tokyo Journal of Mathematics , Vol. 36, pp. 385-406. Link

Tese de Doutoramento

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