Bachelor's degree in Mathematics from the Federal University of Ouro Preto (UFOP). Master's and Ph.D. in Mathematics from the University of Campinas (UNICAMP). During the Ph.D., conducted a research internship at Drexel University in Philadelphia, USA. Currently, a postdoctoral fellow with a FAPESP scholarship at UNICAMP, conducting research in the area of Partial Differential Equations (PDEs), with an emphasis on possible scenarios for the formation of singularities in fluid dynamics equations. Has experience in the field of Mathematics, with an emphasis on Partial Differential Equations and Fluid Dynamics. (Source: Lattes Curriculum)
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Our main aim in this project is to study possible singularity formation scenarios for a class of generalized dissipative surface quasi-geostrophic equations, in which global well-posedness or singularity in finite time are still open problems. Thus, our proposal is to obtain results about the exclusion of the self-similar blow-up scenario, and in case of non-exclusion, to obtain results a…
In this research project we propose the study of the analytical properties of the solutions of equations arising from the incompressible fluid dynamics. Fundamental questions such as global existence and uniqueness of solution in some cases have not yet been answered and the purpose of this project is to advance on the understanding of such issues. We are interested in proving results of …
Our primary goal in this project is to investigate the stability of global minimizers among solutions of gradient flow equations for a broad class of two-dimensional anisotropic interaction energies, in which Riesz¿type singular repulsive kernels are coupled with a smooth confining potential and a directional weight that governs anisotropy. We aim to describe under which conditions, depen…
Our primary goal in this project is the study of locally self-similar solutions for a class of generalized dissipative surface quasi-geostrophic equations where the global well-posedness is still an open problem. We aim to prove an exclusion result of the locally self-similar blowup scenario using similar techniques as we recently developed by Bronzi, Guimarães, Mondaini, for a special ca…
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