Orador Convidado: Ana Rute Domingos (Assistant Professor, Departamento de Matemática da FCUL and CMAFcIO, ardomingos@fc.ul.pt)

Resumo: In this talk we present a study of a Riemann problem for a one-dimensional 2×2 system of conservation laws, which includes some particular cases of known physical systems. The main results of the this study reveal the emergence of shock waves and delta shock waves as explicit solutions. We use the concept of α-solution defined in the setting of a product of distributions not defined by approximation. Notably, this study does not assume any classical results about conservation laws, presenting a simpler and more general framework for constructing singular solutions to other equations or systems.

https://videoconf-colibri.zoom.us/j/98650312699