Global Weak Solutions for the 1D Pollutant Transport Model: The Case of ε = 0

Authors

Zongo Yacouba Engineering Preparatory Classes, Polytechnic School of Ouagadougou, Ouagadougou, Burkina Fao https://orcid.org/0000-0003-0849-9355 (unauthenticated)
Roamba Brahima Institute of Technology, Nazi Boni University, Bobo-Dioulasso, Burkina Faso https://orcid.org/0000-0002-7241-8786 (unauthenticated)
Zongo Julien Faculty of Science and Technology, Nazi Boni University, Bobo-Dioulasso, Burkina Faso https://orcid.org/0009-0007-3264-8740 (unauthenticated)

DOI:

https://doi.org/10.37256/cm.6420256337

Keywords:

shallow water equations, bilayer models, approximate solutions, pollutant transport model

Abstract

This paper investigates the existence of global weak solutions for a one-dimensional pollutant transport model. The study builds upon the previous work. Our primary advancement involves demonstrating that the global weak solutions of a model studied in previous work remain valid when the coefficient associated with the regularizing term is eliminated (ε = 0). To achieve this, we have refined certain a priori estimates, ensuring they are independent of the parameter ε.

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Published

2025-08-04

Issue

Contemporary Mathematics, Volume 6 Issue 4 (2025), 3846-5367

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Global Weak Solutions for the 1D Pollutant Transport Model: The Case of ε = 0. Contemp. Math. [Internet]. 2025 Aug. 4 [cited 2025 Dec. 24];6(4):4697-721. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/6337

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