On the coupling of systems of hyperbolic conservation laws with ordinary differential equations
Raul Borsche, Rinaldo M. Colombo and Mauro Garavello
Abstract: Motivated by applications to the piston problem, to a manhole model, to blood flow and to supply chain dynamics, this paper deals with a system of conservation laws coupled with a system of ordinary differential equations. The former is defined on a domain with boundary and the coupling is provided by the boundary condition. For each of the examples considered, numerical integrations are provided.