Coupling of Systems of Hyperbolic Equations | Zendy

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Coupling of Systems of Hyperbolic Equations

Author(s) -

Herty Michael

Publication year - 2005

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200510309

Subject(s) - conservation law , dimension (graph theory) , extension (predicate logic) , coupling (piping) , nonlinear system , space (punctuation) , hyperbolic partial differential equation , flow (mathematics) , mathematics , mathematical analysis , pure mathematics , computer science , physics , partial differential equation , geometry , engineering , mechanical engineering , quantum mechanics , programming language , operating system

We consider the Aw‐Rascle system of hyperbolic equations which describes traffic flow phenomena on a single road. The model consists of two coupled nonlinear conservation laws in a single space dimension. We study an extension of the Aw/Rascle system to a network of roads. We derive necessary coupling conditions and introduce an obvious definition of a solution. We prove the existence of a solution to the road network problem. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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