2 citations · 4 across the 15 of their papers we have counts for
24 papers
Small-amplitude self-similar solutions for one-dimensional nonlinear dispersive equations
Simão Correia, Gonçalo Pereira, Thyago S. R. Santos
Given a nonlinear dispersive equation which admits a scaling invariance, there may exist self-similar solutions. In this work, we present a systematic approach for the construction…
Global well-posedness and scattering for the 2D modified Zakharov-Kuznetsov equation
Simão Correia, Shinya Kinoshita
We consider the Cauchy problem associated with the modified Zakharov-Kuznetsov equation over . Taking into consideration the associated dispersive effects, we introdu…
Nonlinear smoothing implies improved lower bounds on the radius of spatial analyticity for nonlinear dispersive equations
Mikaela Baldasso, Simão Correia
We provide a roadmap to establish improved lower bounds on the decay rate of the uniform radius of analyticity for a given nonlinear dispersive equation, reducing the proble…
Improved global well-posedness for the quartic Korteweg-de Vries equation
Simão Correia
We prove that the quartic Korteweg-de Vries equation is globally well-posed for real-valued initial data in , .
Classification and stability of positive solutions to the NLS equation on the -metric graph
Francisco Agostinho, Simão Correia, Hugo Tavares
Given and , we present a complete classification of the positive -solutions of the equation on the -metric graph (consisting of tw…
Sharp local well-posedness and nonlinear smoothing for dispersive equations through frequency-restricted estimates
Simão Correia, Filipe Oliveira, Jorge Drumond Silva
We consider the problem of establishing nonlinear smoothing as a general feature of nonlinear dispersive equations, i.e. the improved regularity of the integral term in Duhamel's f…