×

Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: Uniqueness of weak solutions. (English) Zbl 0958.35074

An initial-boundary value problem is considered which describes the solute transport through porous media when a chemical species undergoes adsorption or exchange processes on the surface of the porous skeleton. An \(L^1\)-contraction principle for weak solutions is proved implying the uniqueness of these solutions. The technique of entropy pairs is applied jointly with a modification of the Kružkov method of variable doubling.

MSC:

35K65 Degenerate parabolic equations
PDFBibTeX XMLCite
Full Text: DOI