CV Lattes
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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
I graduated in Industrial Engineering at Universidade Federal de São Carlos (2014), with a Masters (2016) and Ph.D. (2021) in Mathematics from Universidade Federal de São Carlos and University of Seville (Spain). I completed a postdoctoral project in Mathematics at the University of São Paulo (USP) from 2022 to 2024. Currently, I am an Assistant Professor in the Department of Mathematics at UFSCar. I have experience in Mathematical Analysis, with an emphasis on Partial Differential Equations, and work primarily in the following areas: non-autonomous semilinear evolution problems, existence and regularity of solutions, attractors for autonomous and non-autonomous equations, semicontinuities and stability of attractors, computer-assisted structural representation of attractors. (Source: Lattes Curriculum)
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In this work we will study semilinear evolution problems of the form$$u_t +\Lambda u = F(t,u), t>\tau; u(\tau) = u_0,$$subjected to perturbations in the power of the linear operator, that is, perturbations given by$$(u_{\gamma})_t +\Lambda^{\gamma} u_{\gamma} = F(t,u_{\gamma}), t>\tau; u_{\gamma}(\tau) = u_0,$$with $\gamma$ in some interval containing $1$. We refer to these perturbations …
The aim of this project is to study the asymptotic behavior of solutions of the problem u_t = A(t)u + f(t,u), t>t_0 u(t_0) = u_0.More specifically, we intend to obtain results on existence, uniform estimates and semicontinuities of pullback attractors for the problem above, when the operatorA(t) generates a semigroup of growth \alpha, for some \alpha>0, and the nonlinearity f is regular…
The aim of this project is to study the asymptotic behavior of solutions of the problem u_t = A(t)u + f(t,u), t>t_0 u(t_0) = u_0. More specifically, we intend to obtain results on upper and lower semicontinuities of pullback attractors for the problem above, when the operator A(t) generates a semigroup of growth \alpha, for some \alpha>0, and the nonlinearity f is regular enough.
| 3 / 3 | Completed scholarships in Brazil |
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