Lyapunov Exponential Stability of the Shallow Water Equations in Trapezoidal Channel

This paper solves the problem of the exponential stability in L2-norm of Saint-Venant equations linear hyperbolic system for a non-prismatic and non-rectangular channel. We consider the general case of systems containing not only both arbitrary friction and spatially varying slopes but also spatiall...

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Bibliographic Details
Main Authors: Seydou Sore, Babacar Mbaye Ndiaye, Yacouba Simpore
Format: Article
Language:English
Published: Mathyze Publishers 2024-04-01
Series:Pan-American Journal of Mathematics
Online Access:https://mathyze.com/index.php/pajm/article/view/175
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