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We introduce the vanishing adsorption criterion for contact discontinuitiesand apply it to the Glimm-Isaacson model of chemical flooding of a petroleumreservoir. We prove that this criterion, which derives from a physical effect,justifies the admissibility criteria adopted previously by Keyfitz-Kranzer,Isaacson-Temple, and de Souza-Marchesin for models such that the fractionalflow function depends monotonically on chemical concentration. We alsodemonstrate that the adsorption criterion selects the undercompressive contactdiscontinuities required to solve the general Riemann problem in an examplemodel with non-monotone dependence.

Vanishing adsorption admissibility criterion for contact discontinuities in the polymer model