On the Construction of Approximate Solutions for the 1D Pollutant Transport Model

Yacouba Zongo, Brahima Roamba and Boulaye Yira

Journal of Mathematics Research, 2020, vol. 12, issue 3, 1

Abstract: The purpose of this paper is to build sequences of suitably smooth approximate solutions to the 1D pollutant transport model that preserve the mathematical structure discovered in (Roamba, Zabsonré, Zongo, 2017). The stability arguments in this paper then apply to such sequences of approximate solutions, which leads to the global existence of weak solutions for this model. We show that when the Reynold number goes to infinity, we have always an existence of global weak solutions result for the corresponding model.

Date: 2020
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