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Classification of the Conveyance Waves described by Saint Venant Equations

open access: yesTransactions of The Japanese Society of Irrigation, Drainage and Reclamation Engineering, 1987
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EXPONENTIAL STABILITY OF SAINT-VENANT EQUATIONS IN SUPERCRITICAL FLOW

open access: yesJournal of Applied Analysis & Computation
Jingwen Wang, Dongxia Zhao
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Nonlinearity tests of the Saint Venant equations

open access: yes52nd IEEE Conference on Decision and Control, 2013
The Saint Venant equations are two nonlinear partial differential equations (PDE) which are used to describe the dynamics of one-dimensional flow in open water channels. Despite being nonlinear PDEs, the Saint Venant equations seem to exhibit linear behaviour in response to sinusoidal input signals.
Mathias Foo, Erik Weyer
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Segmentation of a river using the Saint Venant equations

open access: yes2010 IEEE International Conference on Control Applications, 2010
The Saint Venant equations are widely used for modelling river systems for scenario simulations, flow prediction, control design, etc. In order to represent a river using the Saint Venant equations, the river is usually divided into segments which are stretches where the river geometry and the friction are assumed constant. This lead to the question of
Mathias Foo, Nadia Bedjaoui, Erik Weyer
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Stabilization method for the Saint-Venant equations by boundary control

Transactions of the Institute of Measurement and Control, 2020
In this paper, we are interested in the stabilization of the flow modeled by the Saint-Venant equations. We have solved two problems in this study. The first, we have proved that the operator associated to the Saint-Venant system has a finite number of unstable eigenvalues. Consequently, the system is not exponentially stable on the space [Formula: see
Hassen Arfaoui
exaly   +2 more sources

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