Semi-explicit entropic solution to a generalised Riemann problem in some hydrological context

Brice Franke, Majid Lagnaoui, Catherine Rainer

We discuss solutions of the one dimensional scalar conservation law with the flux function $y\longmapsto G_{c,ρ}\left(y\right)=((1-ρ)c-y)\mathbb{1}_{\{y>c\}}-ρy\mathbb{1}_{\{y\leqs…