2 citations · 4 across the 15 of their papers we have counts for
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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…
Self-similar dynamics for the modified Korteweg-de Vries equation
Simão Correia, Raphaël Côte, Luis Vega
We prove a local well posedness result for the modified Korteweg-de Vries equation in a critical space designed so that is contains self-similar solutions. As a consequence, we can…