The Boltzmann transport equation (BTE) serves as a fundamental model for describing the statistical behaviour of particles in a medium and finds applications across radiative transfer, neutron ...

SIAM Journal on Applied Mathematics, Vol. 53, No. 2 (Apr., 1993), pp. 419-439 (21 pages) Steady-state systems of coupled nonlinear transport equations are considered with boundary conditions ...

Many transport equations, such as the neutron transport, radiative transfer, and transport equations for waves in random media, have a diffusive scaling that leads to the diffusion equations. In many ...

Porous media play a critical role in various industrial fields due to their complex pore networks and considerable specific surface areas. The transport and reaction phenomena within porous media are ...