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In this work we investigate a coupled system of degenerate and nonlinearpartial differential equations governing the transport of reactive solutes ingroundwater. We show that the system admits a unique weak solution provided thenonlinear adsorption isotherm associated with the reaction process satisfiescertain physically reasonable structural conditions. We conclude, moreover,that the solute concentrations stay non-negative if the source term iscomponentwise non-negative and investigate numerically the finite speed ofpropagation of compactly supported initial concentrations, in a two-componenttest case.

A degenerate elliptic-parabolic system arising in competitive contaminant transport