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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.AP2018
Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation
Simão Correia, Raphaël Côte, Luis Vega
We give the asymptotics of the Fourier transform of self-similar solutions to the modified Korteweg-de Vries equation, through a fixed point argument in weighted W^{1,\infty} aroun…