|Support type:||Scholarships in Brazil - Post-Doctorate|
|Effective date (Start):||April 01, 2018|
|Effective date (End):||March 31, 2020|
|Field of knowledge:||Physical Sciences and Mathematics - Mathematics - Analysis|
|Principal Investigator:||Ademir Pastor Ferreira|
|Home Institution:||Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil|
This project aims to establish a variational criterion for obtaining periodic solutions as well as sufficient conditions for the orbital stability of periodic traveling waves associated with dispersive systems. The periodic traveling waves we are interested in is the ones propagating at constant speed. In order to conclude the stability result, we will use a new approach that deals with defining a new Lyapunov functional for the orbit generated by the periodic wave. Our objective is to show that, depending on the linearized operator, this particular class of systems always have orbitally stable periodic waves.