Associate Professor
Department of Mathematics
Universidade Federal da Paraíba · UFPB
araujo@mat.ufpb.br
I am currently based in João Pessoa - Paraíba - Brazil, in the Department of Mathematics at UFPB. My research interests include Partial Differential Equations, Calculus of Variations and Geometric Analysis. I have also been engaged in applications of regularity theory for non-linear diffusive processes and free boundary problems arising from geometry, thermodynamics, fluid dynamics, material sciences, financial engineering, among others. Of particular interest are my recent works on degenerate PDEs, which comprise systems in which the diffusion properties of governing operators degenerate along a priori unknown sets.
Aelson O. Sobral, Ph.D. student
Diego dos Santos, M.S. student
Renato de Andrade, Undergrad student
Felipe de Andrade, Undergrad student
Lucas Pontes, Undergrad student
Gustavo Gabriel Cunha, Highschool student
Ginaldo S. Sá, Ph.D. student | 2023
Co-advised by José Miguel Urbano (KAUST - Saudi Arabia)
Thesis Publications: Calc. Var. Partial Differential Equations
Current Position: Post-Doctorate Fellow at University of Central Florida
Harish Shrivastava, Post-Doctorate | 2019