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.

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