DEPARTAMENTO DE ECUACIONES DIFERENCIALES
Y ANÁLISIS NUMÉRICO

UNIVERSIDAD DE SEVILLA
Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico
Fecha : 14 de noviembre de 2018
Hora  : 12:00
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)
Mouhamadou Samsidy Goudiaby
(Université Assance Seck de Ziguinchor, Senegal)
Existence result for the coupling of Shallow water and Borda-Carno equations with Riemann data
Resumen
We consider a subcritical flow in a sudden expansion canal. The flow is given by 1D Saint-Venant equations in each part of the expansion together with mass conservation and Borda-Carno conditions at the expansion. We show that the Borda-Carno equation which is a variation of Bernoulli invariant yields always an entropic solution. The linear Riemann problem has a unique solution and that under certain condition there is a unique solution for the nonlinear problem.