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Journal Articles Methods and Applications of Analysis Year : 2022

Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom

Abstract

We prove in this note the local (in time) well-posedness of a broad class of $2 \times 2$ symmetrisable hyperbolic system involving additional non-local terms. The latest result implies the local well-posedness of the non dispersive regularisation of the Saint-Venant system with uneven bottom introduced by Clamond et al. [2]. We also prove that, as long as the first derivatives are bounded, singularities cannot appear.
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Dates and versions

hal-02915262 , version 1 (13-08-2020)

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Billel Guelmame, Didier Clamond, Stéphane Junca. Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom. Methods and Applications of Analysis, 2022, 29 (3), pp.295-302. ⟨10.4310/MAA.2022.v29.n3.a4⟩. ⟨hal-02915262⟩
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