Dm. Tartakovsky, LIMITING ANALYTICAL SOLUTIONS FOR COMPLEX SATURATED AND UNSATURATED TRANSPORT PROBLEMS, Transport in porous media, 17(3), 1994, pp. 257-269
Non-linear diffusion and velocity-dependent dispersion problems are un
der consideration. The necessary and sufficient conditions allowing th
e comparison of solutions to the two dimensional convection-dispersion
equations with different coefficients are obtained. These conditions
provide a framework within which solutions to the complex non-linear p
roblems mentioned above can be estimated by solutions to the problems
possessing analytical solvability.