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. © 2010 IOP Publishing Ltd & London Mathematical Society.
Borsche, R., Colombo, R., Garavello, M. (2010). On the coupling of systems of hyperbolic conservation laws with ordinary differential equations. NONLINEARITY, 23(11), 2749-2770 [10.1088/0951-7715/23/11/002].
On the coupling of systems of hyperbolic conservation laws with ordinary differential equations
GARAVELLO, MAURO
2010
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. © 2010 IOP Publishing Ltd & London Mathematical Society.
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