Abstract:
We formulate a model of a set of advection diffusion partial differential equations governing the concentration of pollutant and oxygen
in a river. It is assumed that the concentration of dissolved oxygen
is strongly influenced by temperature gradient and the concentration
of pollutant is primarily influenced by factors other than temperature,
such as the rate of pollutant input into the river. We use asymptotic
behavior of the solutions to show that when a river is highly polluted,
a slight change in temperature leads to a hypoxia.
