Global controllability between steady supercritical flows in channel networks

Gugat M, Leugering G, Schmidt EJPG (2004)

Publication Type: Journal article

Publication year: 2004

Journal

Mathematical Methods in the Applied Sciences Wiley

Publisher: Wiley-Blackwell

Book Volume: 27

Pages Range: 781-802

Journal Issue: 7

URI: http://www3.interscience.wiley.com/cgi-bin/abstract/108561139/ABSTRACT?CRETRY=1&SRETRY=0

DOI: 10.1002/mma.471

Abstract

We consider a tree-like network of open channels with outflow at the root. Controls are exerted at the boundary nodes of the network except for the root. In each channel, the flow is modelled by the de St. Venant equations. The node conditions require the conservation of mass and the conservation of energy. We show that the states of the system can be controlled within the entire network in finite time from a stationary supercritical initial state to a given supercritical terminal state with the same orientation. During this transition, the states stay in the class of C1-functions, so no shocks occur. Copyright © 2004 John Wiley & Sons, Ltd.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Angewandte Mathematik Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

McGill University CA Canada (CA)

How to cite

APA:

Gugat, M., Leugering, G., & Schmidt, E.J.P.G. (2004). Global controllability between steady supercritical flows in channel networks. Mathematical Methods in the Applied Sciences, 27(7), 781-802. https://doi.org/10.1002/mma.471

MLA:

Gugat, Martin, Günter Leugering, and E. J. P. Georg Schmidt. "Global controllability between steady supercritical flows in channel networks." Mathematical Methods in the Applied Sciences 27.7 (2004): 781-802.

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