Elementary Differential Topology Applied to a Problem in Partial Differential Equations: Theoretical Aspects - 2023

Explore a seminar on applied and computational mathematics focusing on elementary differential topology applied to partial differential equations. Delve into a 2x2 quadratic system of conservation laws and its associated 3-dimensional wave manifold. Discover the properties and description of this wave manifold, setting the stage for a future lecture on solving a Riemann problem in a simplified context. Gain insights from experts Fred Palmeira and Marlon López from PUC-Rio and IMPA in this hour-long presentation, part of the Applied and Computational Mathematics Seminar series at the Instituto de Matemática Pura e Aplicada.