Coupling conditions for the transition from supersonic to subsonic fluid states | Zendy

Martin Gugat | Zendy; Michaël Herty | Zendy; Siegfried Müller | Zendy

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Coupling conditions for the transition from supersonic to subsonic fluid states

Author(s) -

Martin Gugat,

Michaël Herty,

Siegfried Müller

Publication year - 2017

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2017016

Subject(s) - supersonic speed , choked flow , coupling (piping) , constructive , flow (mathematics) , mechanics , physics , classical mechanics , materials science , computer science , metallurgy , process (computing) , operating system

We discuss coupling conditions for the p-system in case of a transition from supersonic states to subsonic states. A single junction with adjacent pipes is considered where on each pipe the gas flow is governed by a general p-system. By extending the notion of demand and supply known from traffic flow analysis we obtain a constructive existence result of solutions compatible with the introduced conditions.

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