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

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

doi:10.28924/2291-8639-23-2025-131

Research Article

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

Roamba Brahima*
Zongo Yacouba
Zongo Julien
Zabsonré Jean de Dieu

* Corresponding author

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.

How to Cite

R. Brahima, Z. Yacouba, Z. Julien, Z. 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. https://doi.org/10.28924/2291-8639-23-2025-131

BibTeX

@article{Brahima2025,
  author  = {Brahima, Roamba and Yacouba, Zongo and Julien, Zongo and Jean de Dieu, Zabsonré},
  title   = {Global Strong Solutions for a One-Dimensional Bilayer Shallow Water Model With a Rigid-Lid Assumption},
  journal = {Int. J. Anal. Appl.},
  volume  = {23},
  year    = {2025},
  pages   = {131},
  doi     = {10.28924/2291-8639-23-2025-131}
}

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