Knabner, P.; Otto, F. Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: Uniqueness of weak solutions. (English) Zbl 0958.35074 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 42, No. 3, 381-403 (2000). 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. Reviewer: Vladimir Shelukhin (Novosibirsk) Cited in 12 Documents MSC: 35K65 Degenerate parabolic equations Keywords:\(L^1\)-contraction principle for weak solutions; entropy solutions; entropy pairs; Kružkov method of variable doubling PDFBibTeX XMLCite \textit{P. Knabner} and \textit{F. Otto}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 42, No. 3, 381--403 (2000; Zbl 0958.35074) Full Text: DOI