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Global Strong Solutions for a One-Dimensional Bilayer Shallow Water Model With a Rigid-Lid Assumption

Article scientifique 2025 Anglais

Résumé

In this paper, we examine a one-dimensional viscous bilayer shallow water model under the rigid-lid assumption. Each layer is described by the one-dimensional shallow water equations. The work presented in [Discrete and Continuous Dynamical Systems Series B18(1), (2011), 361-383] established the stability of a similar model in the two-dimensional case. The primary focus of this study is to demonstrate the existence of global strong solutions for the proposed model within a periodic domain.

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Roamba, B., Yacouba, Z., Julien, Z., Dieu, Z. (2025). Global Strong Solutions for a One-Dimensional Bilayer Shallow Water Model With a Rigid-Lid Assumption. https://doi.org/10.28924/2291-8639-23-2025-131

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Auteur(s)

Brahima Roamba Zongo Yacouba Zongo Julien Zabsonré Jean de Dieu

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