CV Lattes
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Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation from the last research proposal) Birthplace: Brazil
bachelor's at Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (2000), master's at Mathematics from Universidade de São Paulo (2003) and doctorate at Mathematics from Universidade de São Paulo (2007). Has experience in Mathematics, focusing on Functional Analyses, acting on the following subjects: série de fourier, equações diferenciais parciais, equação do calor, informática na educação and análise funcional. (Source: Lattes Curriculum)
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The research project deals with the study of asymptotic behavior in the forward sense of solutions for a family of second-order nonautonomous semilinear evolution equations with the objective of guaranteeing results of existence, regularity, upper semicontinuity and fractal dimension of uniform attractors for this class of equations. (AU)
The main objective of this project is to study semilinear problems. We are interested in results of local and global well posedness of autonomous and nonautonomous problems as well as the existence of global attractors (pullback) for several problems included in the class of semilinear problems. Furthermore, whenever possible, we will study the continuity of the family of global attractor…
The main objective of this project is to study autonomous and non-autonomous parabolic and hyperbolic semilinear problems. We are interested in obtaining results of existence of pullback attractors for several problems included in this class of semilinear problems. Whenever possible, we will study the robustness of these objects (attractors) in the sense of continuity of attractors. Addit…
The aim of this project is to study non-autonomous semilinear problems. We are interested in problems for which the unbounded operator depends on the temporal variable $t$, in general in the literature this dependence does not occur in the unbounded operator but in non-linearity. We will seek to obtain results of existence of pullback attractors for several problems included in this class…
(Only some records are available in English at this moment)
In this project we propose to study the well-known property of Shadowing in infinite-dimensional dynamical systems. Our main objective is to extend the following finite-dimensional result: every (continuous) Morse-Smale dynamical system defined on a compact manifold without border has the Lipschitz-Shadowing property. In fact, we want to extend this result to a neighborhood of a global at…
The research project deals with the study of asymptotic behavior in the forward sense of solutions for a family of second-order nonautonomous semilinear evolution equations with the objective of guaranteeing results of existence, regularity, upper semicontinuity and fractal dimension of uniform attractors for this class of equations. (AU)
The main of this master's degree project is to study of non-autonomous parabolic/hyperbolic partial differential equations. We will study the notion of time-dependent attractor for process $U(t,\tau): X_{\tau} \to X_{t}$ exploiting the minimality with respect to the pullback attraction property. Finally, we will applied the abstract results to study the longterm behavior of wave equation…
The objective of this master's degree project is mainly focused on the study of non-autonomous parabolic partial differential equations. Let us consider semilinear partial differential equations, involving an unbounded operator (which explicitly depends on time $t$) that is an infinitesimal generator of an analytic semigroup. We will study the existence results of pullback attractor for t…
The aim of this project is to provide the student basic knowledge of differential equations, giving you the opportunity to study a subject not covered in your grid disciplines of graduation. Let's apply the classical method of separation of variables for solving boundary value problems for treating some PDE's. (AU)
| 1 / 1 | Ongoing grants |
| 5 / 5 | Completed research grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 6 / 3 | Completed scholarships in Brazil |
| 14 / 11 | All research grants and scholarships |
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