CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduation at Licenciatura Em Matemáticas from Universidad Pedagogica Nacional (1984), master's at Matemáticas from Universidad de Los Andes (1990) and doctorate at Mathematics from Instituto Nacional de Matemática Pura e Aplicada (1994). He is currently full professor at Universidade de São Paulo. Has experience in Mathematics, focusing on Partial Differential Equations, acting on the following subjects: equações dispersivas, estabilidade nao-linear, existencia de ondas viajantes periodicas, problema de cauchy and funções elipticas de jacobi. (Source: Lattes Curriculum)
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In this project we intend to study the dynamics of Nagumo-type models (which extend the classical Fisher-KPP equation) on Y-junction metric graphs. This evolution model appears in applications from phase transitions in crystallography to biological models with degenerate cell motility. The focus of our proposal will be to continuing our study on the existence of stationary states and the…
Interest in the study of non-linear Schrodinger equations with points of interaction has been growing rapidly in recent years by their deep applications in physics, non-linear optics and networks. From a mathematical point of view, the problems that arise are generally non-standard and implying the creation of new strategies and tools in their study. These models have been generally studi…
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This project is devoted to the study of the Airy and Schrödinger operators on metric graphs involving several amount of half-lines attached to a common vertex. We consider the case of an extra terminal vertex (i.e. a T -shaped graph) and the case of a loop structure attached to the common vertex (known as looping-edge graph). In such contexts, the goal of this research project is, mainly,…
This project is principally aimed to demonstrate efficiency of boundary triplets and the corresponding Weyl functions approach for the investigation of certain spectral characteristics of differential operators with point interactions. We also plan to apply boundary triplets approach for investigation of non-linear Schrodinger equation with periodic and non-periodic $\delta$-potential and…
The aim of this research project is the qualitative study of Schrodinger type models with points interaction determined by the delta distribution of Dirac or its derivative, as well as the study of the fractional Korteweg-de Vries equation. These research topics fit within the area of non-linear dispersive equations. Our research will be directed to the existence and stability or instabi…
| 10 / 8 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 5 / 1 | Completed scholarships in Brazil |
| 2 / 1 | Completed scholarships abroad |
| 18 / 11 | All research grants and scholarships |
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