Existence and properties of travelling wave solutions for deterministic and stocha...
Asymptotic stability of nonlocally defined evolution equations.
Properties of solutions (solitary wave) of systems of non linear dispersive equations
Grant number: | 17/20760-0 |
Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
Start date: | April 01, 2018 |
End date: | March 31, 2020 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
Principal Investigator: | Ademir Pastor Ferreira |
Grantee: | Fabrício Cristófani |
Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Abstract 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. | |
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