2 citations · 3 across the 6 of their papers we have counts for
13 papers
Perturbation at blow-up time of self-similar solutions for the modified Korteweg-de Vries equation
Simão Correia, Raphaël Côte
We prove a first stability result of self-similar blow-up for the modified KdV equation on the line. More precisely, given a self-similar solution and a sufficiently small regular…
On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity
Vanessa Barros, Simão Correia, Filipe Oliveira
We study the nonlinear Schrödinger equation with initial data in , where and $2<p<2…
Nonlinear smoothing and unconditional uniqueness for the Benjamin-Ono equation in weighted Sobolev spaces
Simão Correia
We consider the Benjamin-Ono equation on the real line for initial data in weighted Sobolev spaces. After the application of the gauge transform, the flow is shown to be Lipschitz…
Mass-transfer instability of ground-states for Hamiltonian Schrödinger systems
Simão Correia, Filipe Oliveira, Jorge D. Silva
We study generic semilinear Schrödinger systems which may be written in Hamiltonian form. In the presence of a single gauge invariance, the components of a solution may exchange ma…
Nonlinear smoothing for dispersive PDE: a unified approach
Simão Correia, Jorge Drumond Silva
In several cases of nonlinear dispersive PDEs, the difference between the nonlinear and linear evolutions with the same initial data, i.e. the integral term in Duhamel's formula, e…
A generalized Complex Ginzburg-Landau Equation: global existence and stability results
Simão Correia, Mário Figueira
We consider the complex Ginzburg-Landau equation with two pure-power nonlinearities and a damping term. After proving a general global existence result, we focus on the existence a…