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 in Physics and Mathematics, Master and PhD in Applied Mathematics, UNICAMP. Habilitation in Analysis, USP. (Source: Lattes Curriculum)
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The project is focused on the study of analytical and geometric properties of certain non-local integrable models, continuing the research lines developed in processes 2020/02055-0 and 2022/00163-6. We intend to investigate connections between Cauchy problems, symmetries, and surfaces of negative curvature defined by the solutions of the studied problems. (AU)
We aim at investigating structural and qualitative properties of equations with quadratic non-linear terms discovered by V. Novikov in 2009. From the structural point of view we are interested in the investigation of invariance, conservation laws and integrability. From the qualitative perspective our main interest relies on local and global existence of solutions, as well as the wave-bre…
In this work we will study Lie point symmetries and approximate Lie point symmetries of differential equations arising from biomathematics and mathematical physics. It will also be considered conservation laws and approximate conservation laws of biological and physical models. Possible conections between integrable equations and self-adjointness will be investigated. (AU)
We propose to investigate, from the point of view of symmetry methods, nonlinear reaction-diffusion systems useful for mathematical modelling for diseases, bacterial colonies, cancer and so on. Moreover special attention is payed in determining the subclasses of the self-adjoint and weak/nonlinear self-adjoint systems of such systems in order to get conservation laws. (AU)
(Only some records are available in English at this moment)
We aim at studying recent concepts concerned with a special class of equations whose solutions determine pseudospherical surfaces. Our main focus is the study of Cauchy problems and the role of the initial datum on the corresponding surface defined by well-posed problems.
In this project we intend to study and compare Noether's and Ibragimov's approach and find conserved quantities related with Lie point symmetries of differential equations.
In this project we intend to apply the recent concepts on weak self-adjoint and nonlinearly self-adjoint equations formulated by Maria Luz Gandarias and Nail Ibragimov to partial differential equations without Lagrangians. We also intend to determine the subclasses of the nonlinearly self-adjoint equations of important equations in Analysis, Physics and Biomathematics. For the nonlinearly…
In this work we shall study Lie point symmetries of differential equations. (AU)
We want to continue the investigation of structural and qualitative properties of certain equations discovered in 2009 by V. Novikov, which was started through FAPESP grant 2020/02055-0. From the point of view of structural properties, our main goal is the better understanding of geometric aspects of these equations. We are particularly interested in determining which of these equations d…
| 2 / 2 | Ongoing grants |
| 5 / 4 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 3 / 3 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 12 / 11 | All research grants and scholarships |
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