Another Proof of Existence of Global Weak Solutions to 1D Pollutant Transport Model

Brahima Roamba

Journal of Mathematics Research, 2021, vol. 13, issue 2, 31

Abstract: This paper is devoted to the study of pollutant transport model by water in dimension one. The model studied extend the results obtained in ( Roamba, Zabsonré & Zongo, 2017) . However, our model does not take into account cold pressure term and the quadratic friction term as in (Roamba, Zabsonré & Zongo, 2017) which are considered regularizing terms to show the existence of global weak solutions of your model. Without these regularizing terms, we show the existence of global weak solutions in time with a periodic domain.

Date: 2021
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