graduation at Matemática Aplicada A Negócios from Universidade de São Paulo (2021). , acting on the following subjects: análise qualitativa, modelos econômicos, retrato de fase and equação diferencial. (Source: Lattes Curriculum)
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In this project we are interested into study the basics in Fourier Analysis and to apply it to determine the asymptotic behavior (in time) of solutions to the Cauchy problem for some evolution partial differential in function spaces as Lebesgue spaces or Sobolev spaces.
Throughout this project we will study the qualitative theory of Ordinary Differential Equations (ODEs). This study will be implemented through analysis of the phase portraits, which will provide us qualitative/geometric information’s regarding the dynamic behavior of such systems. Then we will deal with the formal results regarding the qualitative theory of vector fields including: The Ex…
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