Gugat M, Leugering G (2009)
Publication Type: Journal article
Publication year: 2009
Publisher: Elsevier Masson / Institute Henri Poincaré
Book Volume: 26
Pages Range: 257-270
DOI: 10.1016/j.anihpc.2008.01.002
We consider a sloped canal with friction that is governed by the Saint-Venant system with source term. We show that starting sufficiently close to a stationary constant subcritical initial state, we can control the system in finite time to a state in a C1 neighbourhood of any other stationary constant subcritical state by boundary control at the ends of the canal in such a way that during the process the system state remains continuously differentiable. Moreover, we show that if the derivative of the initial state is sufficiently small, it can be steered to every stationary constant subcritical state in finite time. © 2008.
APA:
Gugat, M., & Leugering, G. (2009). Global boundary controllability of the Saint-Venant system for sloped canals with friction. Annales de l'Institut Henri Poincaré - Analyse Non Linéaire, 26, 257-270. https://doi.org/10.1016/j.anihpc.2008.01.002
MLA:
Gugat, Martin, and Günter Leugering. "Global boundary controllability of the Saint-Venant system for sloped canals with friction." Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 26 (2009): 257-270.
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