water quality prediction is a valuable tool for pollutant control in aquatic environments. a river system is selected and one-dimensional flow is assumed for the simulation of pollutant transport in this paper. advective and diffusive terms of transport equation are considered separately. different functions of advective transport are proposed and applied for a specified velocity on the discret...

In this paper we study the transport equation in $\mathbb{R}^{n} \times (0,T)$, $T >0$, $n\ge 2$, $$ \partial \_t f + v\cdot \nabla = g, \quad f(\cdot,0)= f\_0 \text{in }\mathbb{R}^{n}, generalized Campanato spaces $\mathscr{L}^{s}{{q(p, N)}}(\mathbb{R}^{n})$. The critical case is particularly interesting, and applied to local well-posedness problem for incompressible Euler equations a space cl...