Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico

Fecha : 7 de abril de 2014
Hora  : 13:00
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)

Mouhamadou Samsidy Goudiaby

(Université Gaston Berger, Saint - Louis, Senegal)

Resumen

We study a Riemann problem at a junction of a star-like network of open canals. The network is modeled as 3 canals and a junction where all canals come together. The flow in the network is subcritical and given by 1D Saint-Venant equations in each canal and special conditions at the junction. We consider the symmetric case where two of the canals are identical. Firstly, we show that the linearized junction Riemann problem has always a unique solution. Secondly, we show that under certain condition, there is a unique solution to the nonlinear junction Riemann problem. There are also cases where there is no solution.