Filipe Oliveira

activity

20102023

most citedWeighted EGZ Constant for p-groups of rank 2

3 citations · 11 across the 13 of their papers we have counts for

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Showing 2014 · math.APShow all

2 papers · 2 filters

math.AP2014★ 3 cited

A note on the existence of traveling-wave solutions to a Boussinesq system

Filipe Oliveira

We obtain a one-parameter family $(u_{μ} (x, t), η_{μ} (x, t))_{μ \geq μ_{0}} = (ϕ_{μ} (x - ω_{μ} t), ψ_{μ} (x - ω_{μ} t))_{μ \geq μ_{0}}$ of traveling-wave solutions to the Boussinesq system $$u_t+η_x+uu_x+cη_…

math.AP2014

Existence and linearized stability of solitary waves for a quasilinear Benney system

João-Paulo Dias, Mário Figueira, Filipe Oliveira

We prove the existence of solitary wave solutions to the quasilinear Benney system $i u_{t} + u_{xx} = a ∣ u ∣^{p} u + uv, v_{t} + f (v)_{x} = (∣ u ∣^{2})_{x}$ where $f (v) = - γ v^{3}$ , $- 1 < p < + \infty$ and $a…