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On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows

Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, USA
Deptartment of Mathematics, Middlebury College, Middlebury, VT 05753, USA
Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, China
Author to whom correspondence should be addressed.
Academic Editor: Constantin Corduneanu
Axioms 2015, 4(4), 518-529;
Received: 24 July 2015 / Revised: 30 October 2015 / Accepted: 3 November 2015 / Published: 6 November 2015
(This article belongs to the Special Issue Functional Differential Equations)
PDF [246 KB, uploaded 6 November 2015]


There has been a surge of work on models for coupling surface-water with groundwater flows which is at its core the Stokes-Darcy problem. The resulting (Stokes-Darcy) fluid velocity is important because the flow transports contaminants. The analysis of models including the transport of contaminants has, however, focused on a quasi-static Stokes-Darcy model. Herein we consider the fully evolutionary system including contaminant transport and analyze its quasi-static limits. View Full-Text
Keywords: Stokes-Darcy; transport; quasi-static Stokes-Darcy; transport; quasi-static
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Ervin, V.J.; Kubacki, M.; Layton, W.; Moraiti, M.; Si, Z.; Trenchea, C. On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows. Axioms 2015, 4, 518-529.

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