CV Lattes
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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduate at Matemática from Universidade Estadual de Maringá (2003) and ph.d. at Mathematics from Universidade Estadual de Campinas (2007). Has experience in Mathematics, focusing on Partial Differential Equations, acting on the following subjects: problemas hiperbólicos, método de galerkin, soluções fortes, periodic standing waves and nonlinear stability. (Source: Lattes Curriculum)
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The project consists of the study of central themes in partial differential equations and non-linear systems, both evolutionary and stationary. The main objective of our research are themathematical aspects of equations and systems that have great interaction with geometric pro-blems, reaction and diffusion models, phenomena in thermomechanics of continuous media andphysical-chemical beha…
We are concerned with three main issues in the theory of nonlinear dispersive equations: (a) existence of traveling waves, (b) stability/instability of traveling waves, and (c) local well-posedness and global behavior of solutions. The project is inserted in a new field of research and its main contribution lies on the understanding of the dynamics governed by dispersive evolution equatio…
In this project, we propose a study of some nonlinear systems and equations of Schrödinger type. We will analyze issues of local and global well-posedness and blow-up of the solutions. In the case of global solutions, we will also study their asymptotic behavior for large times. The ideas to be employed rely on recent techniques in the area of harmonic analysis and dispersive differential…
This research project aims to study partial differential equations, focusing on the existence,uniqueness, and qualitative properties of special solutions of nonlinear dispersive equations. In particular, we seek to understand the existence, stability, and dynamics of self-similar solutions, as well as the properties of solutions in the vicinity of the selfsimilar region. This is a recent …
On both, the circle and the line, we want to study the local and global well-posedness of the Benjamin equation, modified Benjamin equation and the system of equations Schrödinger- Korteweg-de Vries with intial data belonging in a class of analytic functions that can be extended holomorphically in a symmetric strip of the complex plane around the x-axis.Also, we intend to obtain lower bou…
In this research project, we propose the study of well-posedness, local and global controllabilityof some mathematical models that describe the propagation of dispersive waves in thetheory of fluid and other fields of physical science. We will pay particular attention to the following models: the Boussinesq system, the kawahara equation, the Gear-Grimshaw system and a family of linear one…
We propose the study of the local ang global behavior of solutions to certain equations which are relevant, both from the physical and the mathematical point of view. Modern techniques, as the study of the linearized operator associated to some ground state may be used to determine if certain initial data give rise to finite-time blow-up solutions or to solutions that scatter in space. Th…
We intent to establish new results related to Section 5 of the thematic project. Our first aimis to study controllability and stabilization for a generalized Benjamin type equation. Recentresults regarding controllability and stabilization of the Benjamin equation on a periodic domainhave been obtained by Panthee and Vielma Leal (see [5, 6]). Furthermore, the authors provedthat the Benjam…
(Only some records are available in English at this moment)
| 3 / 2 | Completed research grants |
| 3 / 3 | Ongoing scholarships in Brazil |
| 6 / 5 | Completed scholarships in Brazil |
| 12 / 10 | All research grants and scholarships |
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