The modelling and stabilization of flows in networks of open canals
Leugering G, Schmidt EJPG (2002)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2002
Journal
Publisher: Society for Industrial and Applied Mathematics
Book Volume: 41
Pages Range: 164-180
Journal Issue: 1
URI: http://epubs.siam.org/doi/abs/10.1137/S0363012900375664
DOI: 10.1137/S0363012900375664
Abstract
In this paper, we present a model for the controlled flow of a fluid through a network of canals using a coupled system of St. Venant equations. We then generalize in a variety of ways recent results of Coron, d'Andrea-Novel, and Bastin concerning the stabilizability around equilibrium of the flow through a single channel. This work is based on the theory of quasilinear hyperbolic systems and, in particular, on a delicate result of Li Ta-tsien concerning the existence and decay of global classical solutions.
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APA:
Leugering, G., & Schmidt, E.J.P.G. (2002). The modelling and stabilization of flows in networks of open canals. SIAM Journal on Control and Optimization, 41(1), 164-180. https://doi.org/10.1137/S0363012900375664
MLA:
Leugering, Günter, and E. J. P. Georg Schmidt. "The modelling and stabilization of flows in networks of open canals." SIAM Journal on Control and Optimization 41.1 (2002): 164-180.
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