Paola Goatin is part of the renowned French center INRIA Sophia Antípolis - Méditerranée, where she has the quality of senior researcher and fulfills the function of Directeur de Recherche 2ème classe. Recently the researcher received the Femme en Or 2016 award in Smart City category, due to the work she has developed in topics related to the application of Mathematics in the fluid dynamics for the study of traffic behavior and pedestrians movement in the cities.

Since 2016, Goatin has collaborated with Luis Miguel Villada, academic at the Department of Mathematics of the Universidad del Bío-Bío and member of the Center for Research in Mathematic Engineering, CI²MA, Universidad of Concepción. Thay both collaborated as autors for the article High order numerical schemes for one-dimension non-local conservation laws. "This paper focuses on the numerical approximation of solutions to conservation laws in a spatial dimension. These equations are motivated by two applications: a traffic flow model in which the average speed depends on traffic density, and a sedimentation model. In both models, the velocity is a convolution function, product of the interaction between the density function and a function with compact support. From these results, we propose to design Galerkin (DG) discontinuous schemes and WENO (FV-WENO) schemes of finite volume to obtain high-order approximations", Villada explains about the content of the co-written article, which also has the collaboration of Professor Christophe Chalons  researcher from the Université de Versailles Saint-Quentin-en-Yvelines, France.

This article is a product of the stay that Luis Miguel Villada made earlier this year at the INRIA Sophia Antipolis - Méditerranée. "We hope to develop high order numerical schemes that allow us to solve partial differential equations that arise from modeling in time and space the evolution of the density of vehicles on freeways or the flow of pedestrians, with the concern of knowing if the mathematical model is able to describe phenomena, such as the congestion of vehicles or the trajectory of people when leaving the doors of a room. From the theoretical perspective, the exact solution of these equations presents discontinuities, and that is where it is interesting to use efficient numerical schemes. In addition, it is hoped that future collaborations may emerge between INRIA researchers and colleagues from the UBB and CI²MA", Villada said at the time.