On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows
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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2015-11-01
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| Series: | Axioms |
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| Online Access: | http://www.mdpi.com/2075-1680/4/4/518 |
| _version_ | 1819260781124911104 |
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| author | Vincent J. Ervin Michaeka Kubacki William Layton Marina Moraiti Zhiyong Si Catalin Trenchea |
| author_facet | Vincent J. Ervin Michaeka Kubacki William Layton Marina Moraiti Zhiyong Si Catalin Trenchea |
| author_sort | Vincent J. Ervin |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-23T19:31:21Z |
| format | Article |
| id | doaj.art-475df78a1d59434b98567673cc78980e |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-12-23T19:31:21Z |
| publishDate | 2015-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-475df78a1d59434b98567673cc78980e2022-12-21T17:33:54ZengMDPI AGAxioms2075-16802015-11-014451852910.3390/axioms4040518axioms4040518On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater FlowsVincent J. Ervin0Michaeka Kubacki1William Layton2Marina Moraiti3Zhiyong Si4Catalin Trenchea5Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, USADeptartment of Mathematics, Middlebury College, Middlebury, VT 05753, USADepartment of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USADepartment of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USASchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, ChinaDepartment of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USAThere 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.http://www.mdpi.com/2075-1680/4/4/518Stokes-Darcytransportquasi-static |
| spellingShingle | Vincent J. Ervin Michaeka Kubacki William Layton Marina Moraiti Zhiyong Si Catalin Trenchea On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows Axioms Stokes-Darcy transport quasi-static |
| title | On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows |
| title_full | On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows |
| title_fullStr | On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows |
| title_full_unstemmed | On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows |
| title_short | On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows |
| title_sort | on limiting behavior of contaminant transport models in coupled surface and groundwater flows |
| topic | Stokes-Darcy transport quasi-static |
| url | http://www.mdpi.com/2075-1680/4/4/518 |
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