We prove the well posedness of mixed problems consisting of a system of ordinary differential equations coupled with systems of balance laws in domains with moving boundaries. The inter- faces between the systems are provided by the boundary data and boundary positions. Various situations that fit into this framework are studied, both analytically and numerically. We consider a piston moving in a pipe full of fluid, a model for fluid-particle interaction and a traffic model. References to other examples in the literature are provided.

Mixed Systems: ODEs - Balance Laws

COLOMBO, Rinaldo Mario
2012-01-01

Abstract

We prove the well posedness of mixed problems consisting of a system of ordinary differential equations coupled with systems of balance laws in domains with moving boundaries. The inter- faces between the systems are provided by the boundary data and boundary positions. Various situations that fit into this framework are studied, both analytically and numerically. We consider a piston moving in a pipe full of fluid, a model for fluid-particle interaction and a traffic model. References to other examples in the literature are provided.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/149722
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