Simão Correia

activity

20142026

most citedA Fujita-type blowup result and low energy scattering for a nonlinear Schrö\-din\-ger equation

10 citations · 19 across the 23 of their papers we have counts for

collaborators

Showing 2016 · math.APShow all

2 papers · 2 filters

math.AP2016

Existence and stability of spatial plane waves for the incompressible Navier-Stokes in $R^{3}$

Simão Correia, Mário Figueira

We consider the three-dimensional incompressible Navier-Stokes equation on the whole space. We observe that this system admits a $L^{\infty}$ family of global spatial plane wave solu…

math.AP2016

Spatial plane waves for the nonlinear Schrödinger equation: local existence and stability results

Simão Correia, Mário Figueira

We consider the Cauchy problem for the nonlinear Schrödinger equation on $R^{2}$ , $i u_{t} + u_{xx} + u_{y y} + λ ∣ u ∣^{σ} u = 0$ , $λ \in R$ , $σ > 0$ . We introduce new functiona…

Existence and stability of spatial plane waves for the incompressible Navier-Stokes in R3

Spatial plane waves for the nonlinear Schrödinger equation: local existence and stability results

Existence and stability of spatial plane waves for the incompressible Navier-Stokes in $R^{3}$