The research projects in Applied Mathematics developed by Prof. Erivaldo stand out for their use of models based on partial differential equations of the convection–diffusion–dispersion type (among others), which are fundamental for describing complex phenomena across different fields of knowledge. These models make it possible to understand, for example, the propagation of pollutants in rivers and aquifers, dam-break dynamics, and wave motion in channels, as well as processes in plasma physics, nonlinear optics, and price dynamics in financial markets, among other natural phenomena.
By combining theoretical analysis, numerical simulations, and practical applications, the projects aim not only to advance the frontiers of mathematical knowledge but also to offer innovative solutions to problems of scientific, technological, and social interest.
At the moment, I do not have an active research project registered at the Federal University of Roraima. Currently, I participate in research groups affiliated with the University of Campinas (UNICAMP) and other higher education institutions. To view our research group led by Prof. Dr. Eduardo Abreu, click here.