Collaboration with prestigious French institute to open up new lines of research

Collaboration with prestigious French institute to open up new lines of research

CMM scientist and UdeC student completed internship at Inria Sophia Antipolis-Méditerranée.

 

During the last weeks of March, Yessennia Martínez Martínez, a student of the Doctoral Program in Applied Sciences with a minor in Mathematical Engineering at the Universidad de Concepción, conducted a research stay at the prestigious Inria Sophia Antipolis-Méditerranée on the French Riviera.

This stay was part of the Math-AMSUD project ‘NOTION: NOn-local conservaTION laws for engineering, biological and epidemiological applications: theoretical and numerical, (MATH-Amsud 22-MATH-05)’, directed by Dr. Luis Miguel Villada Osorio, associate researcher at the Center for Mathematical Modeling (CMM) of the University of Chile.

Also participating in this research initiative are Dr. Paola Goatin, lead researcher of the Acumes team at Inria, and Dr. Raimund Bürger, principal investigator at CMM, who are also co-directors with Villada of Yessennia’s doctoral thesis, entitled ‘Analysis and Numerical Methods for Conservation Laws with Discontinuous Flow and on Networks’.

“The internship was framed to continue with the objectives of my thesis project corresponding to modeling traffic flow in networks, using optimization techniques for parameter adjustment. For this we want to model the vehicular traffic of some streets in downtown Concepción“, Yessennia explained.

Some of the topics addressed during the internship were numerical analysis for the resolution of conservation law systems, applied to pedestrian dynamics models and vehicular traffic models in bidirectional roads. “During the stay we were able to implement a 1D method that models vehicular flow in a network,” explained Yessenia.

In addition, the group of scientists took the opportunity to start new challenges, in particular, a new study of vehicular traffic models in 2D domains as an alternative to models on networks, as part of Yessennia’s thesis. “As we are already working with 1D models, we want to propose something new for which we are studying and analyzing a 2D model that allows modeling vehicular traffic in networks,” explained the UdeC graduate student.

Dr. Villada, academic of the Department of Mathematics of the Faculty of Sciences at Universidad del Bío-Bío and researcher of the Center for Research in Mathematical Engineering (CI²Ma) at Universidad de Concepción, highlighted about the recent stay in France “the good disposition that both Paola and her Acumes team have always had to receive our doctoral students and discuss new research topics, which has allowed us to obtain both publications and project awarding”.

 

By Iván Tobar, journalist – CMM Concepción

Posted on May 22, 2024 in News