Publications

Dr. Joel S. Souza

Email • PhD in Mathematics, UFRJ
Linguistics, Galerkin Method, Partial Differential Evolution Equations, Homogenization Theory

Visiting Scientist
Federal University of Santa Catarina
Host: Enrique Zuazua
Room 03.311 | FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship
Friedrich-Alexander-Universität Erlangen-Nürnberg
Naturwissenschaftliche Fakultät. Department Mathematik

ORCID | Personal site

I got a Bachelor’s degree in Mathematics from the Federal University of Rio de Janeiro (1979) and a Bachelor’s degree in Mathematics Education from the Federal University of Rio de Janeiro (1980). Later on, I got a Master’s degree in Mathematics from the Federal University of Rio de Janeiro (1982), and a PhD in Mathematics from the Federal University of Rio de Janeiro (1995). In 1997, I was a postdoctoral researcher at Purdue University, IN, USA (1997–1998).
Currently, I am an IV-level Associate Professor at the Federal University of Santa Catarina.

My experience in the area of Mathematics has been focused on Partial Differential Equations (PDE), specially working on: homogenization, evolution equations in perforated domains with Dirichlet boundary conditions, and problems with relaxed Dirichlet conditions.

I also hold a Bachelor’s degree in French from the Federal University of Santa Catarina (2008), and a Bachelor’s degree in German from the Federal University of Santa Catarina (2023).

PhD Thesis: Homogeneização de Alguns Problemas de Contorno by Joel Santos Souza (UFRJ, 1995)

  

 

Research interests

My experience in the area of Mathematics, has been focused on Partial Differential Equations (PDE), specially working on:
• homogenization,
• evolution equations in perforated domains with Dirichlet boundary conditions, and
• problems with relaxed Dirichlet conditions.

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Projects

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Publications


2004

  • 1. Souza, J.S. and Cavalcanti, Marcelo M and Cavalcanti, Valéria N Domingos and Soriano, João A (2004) Homogenization and Uniform Stabilization for a Nonlinear Hyperbolic Equation in Domains with holes of small capacity. Eletronic Journal Of Differential Equations, USA, Vol. 2004, No. 55, pp. 1-19
  • Souza, J.S. and Kist, Airton (2004) Homogeneização de uma equação tipo Schrödinger linear em domínios com pequenos buracos. Publicatio UEPG. Ciências Exatas e da Terra, Ciências Agrárias e Engenharias, Ponta Grossa, Vol.Ano 10, No. 1, pp. 7-20

2002

  • Souza, J.S. (2002) Homogenization of the heat equation in open sets perforated with tiny holes. Computational & Applied Mathematics, Rio de Janeiro, Brasil, Vol. 21, No. 2, pp. 461-484
  • Souza, J.S. and Kist, Airton (2002) Homogenization and corrector results for a nonlinear reaction-diffusion equation in domains with small holes. Matemática Contemporânea, Rio de Janeiro, Brasil, Vol. 23, pp. 161-183

2000

  • Souza, J.S. and Kapitonov, B.V. (2000) Observability and uniqueness theorem for a coupled hyperbolic system. International Journal of Mathematics and Mathematical Sciences, USA, Vol. 24, No. 6, pp. 423-432

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