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
Graduate at Mathematics from Universidade Federal de Minas Gerais (1999), master's at Mathematics from Universidade de São Paulo (2001) and PhD at Applied Mathematics from University of São Paulo (2004). He is currently a full professor in the Mathematics Department at the Institute of Mathematics and Statistics at the University of São Paulo. He has experience in Mathematics and Applied Mathematics, focusing on Partial Differential Equations, acting on the following subjects: asymptotic analysis, elliptic and parabolic equations, integro-differential equations, boundary perturbation problems for PDEs, upper and lower semicontinuity of attractors. (Source: Lattes Curriculum)
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This project aims to investigate the spectrum of the Laplacian operator restricted to a two-dimensional strip embedded in a space of dimension greater than 2. Recently, this issue has been addressed under two different boundary conditions: in one situation, the Dirichlet condition was considered, while in another, a combination of Dirichlet and Neumann conditions was applied on opposite s…
In this project we intend to study the asymptotic behavior of nonlinear boundary value problems defined in singular domains. In particular, we are interested in obtaining the homogenized equations for homogenization problems defined in thin domains with rough boundaries given by brush-like perturbations and with nonlinear Signorini boundary condition. (AU)
The dynamical systems that we seek to understand are those derived from differential equations in Banach spaces, which includes ordinary differential equations and partial semilinear (or quasilinear) evolutionary differential equations. The treatment that we give to these models has its origin in the spectral theory, via operational calculus, semigroup theory of linear operators and the v…
In the following we present a descriptive activity plan of proposals idealized for the accomplishment of the research activities of Marcone C. Pereira, professor of the Department of Applied Mathematics (MAP) of the Institute of Mathematics and Statistics (IME) of the University of São Paulo (USP).We will see that the proposal developed mainly addresses qualitative issues associated with …
Our aim here is analyze integral and partial differential equations under singular perturbations. We consider boundary value problems with parameters driven by applied areas studying their behavior in order to extract limit problems and convergence. The main parameters that we deal with here are (i) the domain of the solutions (boundary perturbation problems), (ii) nonlinear terms in the …
In this project we are interested in analyze the asymptotic behavior of the solutions of dynamical systems given by perturbed Semilinear Parabolic Problems. We main investigate upper and lower continuity of attractors as well as of the set of state solutions of the system comparing the perturbed dynamics with one defined by the limit problem in appropriated Banach spaces. (AU)
(Only some records are available in English at this moment)
In this project we propose to study the behavior of the solutions of boundary value problems when the differential equation that defines it is perturbed. We will focus on the study of singular problems, motivated by areas as homogenization and asymptotic analysis of partial differential equations. We intend to study the existence of limit equations for the perturbed problems, the context …
This project is associated with a request for a postdoctoral research grant for a period of approximately 2 years. In general terms, we propose to investigate issues related to the asymptotic and geometric analysis of parabolic equations in relation to the perturbation of the domain defining their solutions. Among so many, we intend to study models associated with boundary value problems …
In what follows, we present a proposal of an activity plan idealized for the developmentof the postdoctoral research activities of Estefani Moraes Moreira, under the supervision ofMarcone C. Pereira, professor of Departamento de Matem´atica Aplicada (MAP), of Institutode Matemática e Estatística (IME) of Universidade de São Paulo (USP).This proposal addresses mostly questions related to a…
In this project we intend to study the spectrum of non-local operators. Such operators are non-local versions of classical operators studied in differential equations, such as the Laplacian.(AU)
In this research statement, we present a brief description of my research proposal thought for a post doctoral position in Hokkaido University. We will see that this proposal main focus is the study of qualitative and quantitative questions related to Asymptotic Analysis and Singular Perturbation of Domains in phenomenas modeled by Partial Differential Equations. (AU)
This project is associated with the request of a scholarship abroad, submitted to FAPESP, to be developed from September 2019 to February 2020 (6 months) at the Universidad Católica de Chile in collaboration with Prof. Rafael Benguria.It is important to mention that Prof. Rafael is a full professor at his university, a member of the Chilean Academy of Sciences and has been a member of the…
In this project we consider an obstacle problem to a class of non local evolution equations. We study existence of solutions, regularity and regularity. We also intend to investigate the relationship between parabolic problems and these ones as asymptotic limits. Finally we note that we are mainly interested in non local problems in time and space.
(Only some records are available in English at this moment)
| 3 / 3 | Ongoing grants |
| 6 / 5 | Completed research grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 2 / 2 | Completed scholarships in Brazil |
| 4 / 4 | Completed scholarships abroad |
| 17 / 16 | All research grants and scholarships |
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