CV Lattes
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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
B.Sc. in Applied Mathematics at Universidade de São Paulo (2014), M.Sc. in Applied Mathematics at Universidade de São Paulo (2017), and Ph.D. in Mathematics at Instituto Nacional de Matemática Pura e Aplicada (2021). Currently, I am an assistant professor at Instituto de Matemática e Estatística da Universidade de São Paulo. I have experience in Mathematics, especially in the following subjects: deterministic and stochastic convection-diffusion equations and velocity averaging lemmas. (Source: Lattes Curriculum)
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The main goal of the project is to continue the investigation of the theory of "averaging lemmas" and apply it to concrete problems involving degenerate parabolic-hyperbolic equations. More specifically, for these equations, it is intended to study an initial value problem for a stochastic version with periodic boundary conditions, to investigate Sobolev's regularity of entropy and kineti…
In this project, we develop the basic elements of the theory of ordinary differential equations and their relations to Classical Mechanics. The comprehension of such elements is fundamental for many areas of research nowadays, and so we are sure it will be a key step on the student development, enabling him to pursue more advanced topics related to those that are currently under research …
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