Aim and scope: Hyperbolic conservation laws are a fundamental class of partial differential equations (PDEs) in applied and computational mathematics used to model the transport of physical quantities such as mass, momentum, and energy. They are crucial for understanding wave propagation and the formation of discontinuities, such as shock waves. The scope of this One Day Meeting is to bring together researchers, graduate and undergraduate students with interests in the theoretical, applied, and computational aspects of hyperbolic partial differential equations with real-life applications and discuss some trends on the state of the art of the field aiming networking opportunities designed to foster collaboration, mentorship, and knowledge exchange.

The program of the One Day Meeting (on Friday, February 27th, 2026) includes presentation of two  seminar talks and  master's defense schedule as follows:

09h45-10h00: Opening of the One Day Consortium Summer Meeting UFMG-UNIFAL-IMECC/Unicamp by Denise Bulgarelli Duczmal & Luccas Cassimiro Campos.

10h00-10h45: Seminar by Eduardo Abreu (IMECC-Unicamp) on "A new Lagrangian-Eulerian approach to nonlinear hyperbolic equilibrium laws: theory, computation and applications". 

10h45-11h30: Seminar by José Wanderson Lambert (UNIFAL-MG) on "A semidiscrete Lagrangian-Eulerian computational method for nonlocal conservation laws in multiple dimensions: theory and examples".

11h30-12h00:  Break General Discussions (Beyond Applied and Computational Mathematics). Here we mean "Beyond Applied and Computational Mathematics" referring to the interdisciplinary transition and deep synergy from theoretical (rigorous theorems) on mathematical modeling to direct real-world implementation in science, scientific computation, industry, and technology. This shift often moves onto other related high-impact fields, for instance, such as Artificial Intelligence (AI) and Machine Learning, but here from the perspective at the interface with Applied and Computational Mathematics.

12h00-15h00:  Lunch Time.

15h00-17h30: Dissertation defense by student Renan Antunes Braga Bomtempo, entitled "On the Lagrangian-Eulerian method for hyperbolic conservation laws on unstructured meshes".