3 papers
math.AP2019
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…
math.AP2018
Some stability results for the complex Ginzburg-Landau equation
Simão Correia, Mário Figueira
Using some classical methods of dynamical systems, stability results and asymptotic decay of strong solutions for the complex Ginzburg-Landau equation (CGL), $$ \partial_t u = (a +…
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 , , , . We introduce new functiona…