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

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DOI: https://doi.org/10.28924/2291-8639-23-2025-131
Published: Jun 9, 2025
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Roamba Brahima, Zongo Yacouba, Zongo Julien, Zabsonré Jean de Dieu, Global Strong Solutions for a One-Dimensional Bilayer Shallow Water Model With a Rigid-Lid Assumption, Int. J. Anal. Appl., 23 (2025), 131.

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Roamba Brahima, Zongo Yacouba, Zongo Julien, Zabsonré Jean de Dieu

Abstract

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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