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Ill-Posedness of the Shallow Water Equations

Author(s): Tew-Fik Mahdi

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Keywords: Shallow water equations; Well-posedness; Stability; Vedernikov number

Abstract: The Shallow Water Equations (SWE), derived in 1871 by Saint-Venant (Chow, 1959), are the basis of all Fluvial Hydraulics software such as MIKE11, MIKE21, FLDWVE, SRH-1D, SRH-2D, TELEMAC,… This paper studies the ill-posedness of the one dimensional (1D) SWE: !"!# +

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Year: 2025

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