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dc.contributor.authorChallal, Samia ( )
dc.contributor.authorLyaghfouri, Abdeslem ( Orcid Icon 0000-0002-0957-9675 )
dc.date.accessioned2020-11-20T15:08:14Z
dc.date.available2020-11-20T15:08:14Z
dc.date.issued2003-04-17
dc.identifier.citationChallal, S., & Lyaghfouri, A. (2003). On the behavior of the interface separating fresh and salt groundwater in a heterogeneous coastal aquifer. Electronic Journal of Differential Equations, 2003(44), pp. 1-27.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/12980
dc.description.abstractWe consider a flow of fresh and salt groundwater in a two-dimensional heterogeneous horizontal aquifer. Assuming the flow governed by a nonlinear Darcy law and the permeability depending only on the vertical coordinate, we show the existence of a unique monotone solution that increases (resp. decreases) with respect to the salt (resp. fresh) water discharge. For this solution we prove that the free boundary is represented by the graph x = g(z) of a continuous function. Finally we prove a limit behavior at the end points of the interval of definition g.en_US
dc.formatText
dc.format.extent27 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherSouthwest Texas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectFresh-salt wateren_US
dc.subjectHeterogeneous aquiferen_US
dc.subjectNonlinear Darcy's lawen_US
dc.subjectMonotone solutionsen_US
dc.subjectComparison and uniquenessen_US
dc.subjectContinuity of the free boundaryen_US
dc.subjectLimit behavioren_US
dc.titleOn the behavior of the interface separating fresh and salt groundwater in a heterogeneous coastal aquiferen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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