Limiting profiles in contaminant transport through porous media
Abstract
The degenerate nonlinear diffusion problem Beta (u) sub t + u sub x = u sub xx t 0, x between minus and positive infinity, u(x,0) = u sub 0 (x) is investigated. For a special choice of Beta (Beta (u) = u sup p, p 0) the equation describes the onedimensional transport of contaminant in a fluid flow through a homogeneous staturated porous medium. The large time behavior of the solution is studied for more general Beta. Depending upon the shape of Beta (convex or concave) and the values u0 ( inf) and u0 (+ inf) the solution converges to a traveling wave g of the form g(xat) or to a function w* of the form w* (x/t+1).
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 1984
 Bibcode:
 1984STIN...8528282V
 Keywords:

 Pollution Transport;
 Porous Materials;
 Transport Theory;
 Water Pollution;
 Ground Water;
 Incompressible Fluids;
 Reaction Kinetics;
 Fluid Mechanics and Heat Transfer