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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
Undergraduate degree in Mathematics at Universidade Federal de Campina Grande (2014), Master degree at Mathematics from Universidade Federal de Campina Grande (2016) and PhD in Mathematics at Universidade de São Paulo (2021), Campus São Carlos. The researcher has experience in the field of Mathematical Analysis, especially in the area of nonlinear dynamical systems and fractal dimension of global attractors, uniform attractors and random uniform attractors. Arthur has interests also in exponential attractors and applications to evolution partial differential equations (deterministic and random settings). Held a temporary position at Universidade Federal de Campina Grande, Campus Pombal-PB. CNPq postdoctoral fellow at Universidade de São Paulo, Campus São Carlos (2022). Current position: permanent position in the Department of Mathematics at Universidade Federal da Bahia. (Source: Lattes Curriculum)
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We describe the methods used to find estimates of fractal dimension for attractors of autonomous and non-autonomous problems in Banach and Hilbert spaces. The main goal is obtain a comparative (in a broad sense, being that quantitative and/or qualitative) between these two quotas, when both the methods can be applied. Such results will allow us to make the better choice for the estimative…
We describe methods to estimate the fractal dimension of attractors for autonomous and non-autonomous dynamical systems in Banach and Hilbert spaces. The main objective in this project is to obtain a comparison (in a broad sense, being that quantitative and/or qualitative) between those two quotas, when both methods can be applied. Such results will allow us to make the better choice for …
| 1 / 1 | Completed scholarships in Brazil |
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