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
bachelor's at Engenharia Elétrica (Ênfase em Eletrônica) from Universidade de São Paulo (1984), master's at Mathematics from Universidade de São Paulo (1987) and doctorate at Center for Dynamical Systems and Nonlinear Studies from Georgia Institute of Technology (1992). Has experience in Mathematics, focusing on Partial Differential Equations, acting on thjavascript:void(0)e following subjects: attractors, atratores, parabolic problems, pullback attractors and problemas parabólicos. (Source: Lattes Curriculum)
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This project aims primarily at investigating the existence and qualitative properties of attractors for multivalued semigroups and evolution processes, as well as their applications on the study of the asymptotic behavior of global solutions to abstract differential equations with state-dependent delay. In the autonomous context, our goal is to construct an exponential attractor for the …
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…
(Only some records are available in English at this moment)
The final goal of the project is to show that cascade systems are gradients. This project will be divided into:1. Show that the notions of gradient and dynamically gradient semigroups are equivalent;2. Study the qualitative properties of attractors of autonomous and non-autonomous dynamical systems;3. Use the notion of dynamically gradient semigroups for non-autonomous dynamical systems t…
The present scientific research project concerns the theory of systems which describe the evolution of process whose continuous dynamics are interrupted by abrupt changes of state. This phenomenon is called impulse. Among such systems, we will qualitatively study gradient semigroups and dynamically gradient semigroups under impulsive action. The mathematical analysis of such systems emplo…
This project aims primarily at investigating the existence and qualitative properties of attractors formultivalued semigroups and evolution processes, as well as their applications on the study of theasymptotic behavior of global solutions to abstract differential equations with state-dependent delay. In theautonomous context, our goal is to construct an exponential attractor for the mult…
(Only some records are available in English at this moment)
In this work we study the hyperbolicity of solutions for quasilinear non-autonomous problems and characterize the pullback attractors of them. (AU)
The present project of scientific research deals with semilinear differential equations in the environment of generalized differential equations. This project lies on the investigation of qualitative properties of semilinear differential equations which contain integrable terms in the sense of Kurzweil.
The main goal of this project is to study the fractal dimension and the Assouad dimension of attractors for autonomous and non-autonomous dynamical systems, considering that the study of the dimension of the attractor of a dynamical system allows us, in certain cases, to reduce the complexity of this attractor by relating it to a subset of a finite-dimensional Euclidean space.Our first ob…
(Only some records are available in English at this moment)
This research project focuses on semilinear differential equations within the framework of generalized differential equations. Specifically, we aim to understand the qualitative properties of semilinear differential equations that contain integrable terms in the sense of Kurzweil.
The main objectives of this internship project are the study of box-counting dimension of the attractors of non-autonomous dynamical systems, the study of embedding theorems based on Hausdorff and box-counting dimension, and, finally, the study of the Assouad dimension of attractors. Our first goal is to search for estimates for the box-counting dimension of the uniform attractor of cocyc…
This research project deals with the study of the dynamics of solutions, and the estimation of the fractal dimension of the attractors associated with a class of non-linear parabolic equations where the sub differential main part is a non-linear maximal monotone operator and the convective term is a non-monotone, non-Lipschitz operator defined in a dense subset of a Hilbert space. The the…
In this project we propose to study qualitative properties of solutions of quasi-linear problems. We are particularly interested in the study of shadowing and the saddle point property (for autonomous or non-autonomous problems) under very general conditions that include mathematical models of relevant practical problems and that do not satisfy the locally semilinear conditions usually im…
(Only some records are available in English at this moment)
| 2 / 2 | Ongoing grants |
| 43 / 39 | Completed research grants |
| 5 / 5 | Ongoing scholarships in Brazil |
| 35 / 18 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 10 / 8 | Completed scholarships abroad |
| 96 / 73 | All research grants and scholarships |
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