A degenerate elliptic-parabolic system arising in competitive contaminant transport
Analysis of PDEs
2021-01-15 v1 Numerical Analysis
Numerical Analysis
Abstract
In this work we investigate a coupled system of degenerate and nonlinear partial differential equations governing the transport of reactive solutes in groundwater. We show that the system admits a unique weak solution provided the nonlinear adsorption isotherm associated with the reaction process satisfies certain physically reasonable structural conditions. We conclude, moreover, that the solute concentrations stay non-negative if the source term is componentwise non-negative and investigate numerically the finite speed of propagation of compactly supported initial concentrations, in a two-component test case.
Keywords
Cite
@article{arxiv.2101.05726,
title = {A degenerate elliptic-parabolic system arising in competitive contaminant transport},
author = {Margarida Baía and Farid Bozorgnia and Léonard Monsaingeon and Juha Videman},
journal= {arXiv preprint arXiv:2101.05726},
year = {2021}
}
Comments
old paper accepted in 2017 but not uploaded to arxiv