We study the exponential stability in H 2 norm of nonlinear Saint-Venant (or shallow water) equations with arbitrary friction and slope using a single proportional-integral (PI) control at one end channel. Using good but simple Lyapunov function we find explicit condition on gain PI to ensure any steady-states. This is independent slope, coefficient, length river, inflow disturbance and, more s...

In the late 19th century, Lars Edvard Phragmén proposed a load-balancing approach for selecting committees based on approval ballots. We consider three committee voting rules resulting from this approach: two optimization variants—one minimizing the maximal load and one minimizing the variance of loads—and a sequential variant. We study Phragmén’s methods from an axiomatic point of view, focuss...

A mathematical and numerical model of the joint dynamics surface water traction sediment is built, which takes into account nonlinear fluid bottom deformation. The waters described by equations Saint-Venant, taking spatially inhomogeneous distribution terrain. transport loads Exner equation, generalized to case a parameters underlying surface. For integration Saint-Venant equations, stable well...

Les enfants ayant un trouble développemental du langage (TDL) présentent vocabulaire réduit tant en quantité et qu’en qualité ainsi que des difficultés d’apprentissage de mots dont les causes restent méconnues. Cette recherche cible plus particulièrement le rôle règles catégorisation pour l’apprentissage lexical. À cette fin, une tâche implicite, comportant règle, a été proposée à 17 présentant...

the assumptions considered in developing the saint-venant equations limit their application in many practical situations. the modified boussinesq equation was presented to overcome the limitation imposed by saint-venant equation due to the presence of non-hydrostatic pressure distribution and steep slope. in this paper a computational model was developed for solving the modified and the traditi...

In this paper, we present two methods for determining the position of a leak in an open water channel. The available measurements are the water level and the gate position at the upstream and downstream end of a channel reach. We assume that the size of the leak and the time it started are already estimated by a leak-detection method. Both of the proposed methods make use of a nonlinear Saint-V...

Non-point source pollution inflow is one of the main causes water quality decline in urban river networks. In this paper, aiming at problem non-point pollutant transport network, lateral outflow term Saint-Venant equation improved from previous constant to time-varying flow process, and a mathematical model considering sink established. Based on initial rainfall intensity, surface confluence co...