{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T19:38:21Z","timestamp":1776800301953,"version":"3.51.2"},"reference-count":27,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2015,11,6]],"date-time":"2015-11-06T00:00:00Z","timestamp":1446768000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/axioms4040518","type":"journal-article","created":{"date-parts":[[2015,11,6]],"date-time":"2015-11-06T11:12:15Z","timestamp":1446808335000},"page":"518-529","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows"],"prefix":"10.3390","volume":"4","author":[{"given":"Vincent","family":"Ervin","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, USA"}]},{"given":"Michaela","family":"Kubacki","sequence":"additional","affiliation":[{"name":"Deptartment of Mathematics, Middlebury College, Middlebury, VT 05753, USA"}]},{"given":"William","family":"Layton","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA"}]},{"given":"Marina","family":"Moraiti","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA"}]},{"given":"Zhiyong","family":"Si","sequence":"additional","affiliation":[{"name":"School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, China"}]},{"given":"Catalin","family":"Trenchea","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA"}]}],"member":"1968","published-online":{"date-parts":[[2015,11,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1007\/s10596-007-9043-0","article-title":"A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium","volume":"11","author":"Arbogast","year":"2007","journal-title":"Comput. 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