Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774653 | Journal of Mathematical Analysis and Applications | 2018 | 23 Pages |
Abstract
The objective of this work is to study a coupled system of degenerate and nonlinear partial differential equations governing the transport of reactive solutes in groundwater. We show that this system admits a unique weak solution provided the nonlinear adsorption isotherm associated with the reaction process satisfies certain physically reasonable structural conditions, by addressing a more general problem. In addition, we conclude, 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Margarida BaÃa, Farid Bozorgnia, Léonard Monsaingeon, Juha Videman,