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...

Boltzmann Transport Equation [1-2] has been modelled in close conjunction with Maxwell’s equation, investigations for 2D and 3D transport carriers have been proposed. Exact solution of Boltzmann Equation still remains the core field of research. We have worked towards evaluation of 2D and 3D solutions of BTE. Application of our work can be extended to study the electromagnetic wave transport in...