On the behavior of the interface separating fresh and salt groundwater in a heterogeneous coastal aquifer

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dc.contributor.authorChallal, S
dc.contributor.authorLyaghfouri, A
dc.date.accessioned2025-03-20T17:16:57Z
dc.date.available2025-03-20T17:16:57Z
dc.date.issued2003-04-17
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 of g.
dc.description.sponsorshipWe would like to thank KFUPM for the facilities provided and for its support.
dc.identifier.citationChallal, Samia, and Lyaghfouri, Abdeslem. "On the behavior of the interface separating fresh and salt groundwater in a heterogeneous coastal aquifer.." Electronic Journal of Differential Equations (EJDE) [electronic only] 2003 (2003): Paper No. 44, 27 p., electronic only-Paper No. 44, 27 p., electronic only. <http://eudml.org/doc/123517>.
dc.identifier.issn1072-6691
dc.identifier.urihttps://eudml.org/doc/123517
dc.identifier.urihttps://hdl.handle.net/10315/42678
dc.language.isoen
dc.publisherDepartment of Mathematics, Texas State University
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectFresh-salt water
dc.subjectHeterogeneous aquifer
dc.subjectNonlinear Darcy's law
dc.subjectMonotone solution
dc.subjectComparison and uniqueness
dc.subjectContinuity of the free boundary
dc.subjectLimit behavior
dc.symplectic.journalElectronic Journal of Differential Equations
dc.symplectic.pagination1-27
dc.symplectic.subtypeJournal article
dc.symplectic.volume2003
dc.titleOn the behavior of the interface separating fresh and salt groundwater in a heterogeneous coastal aquifer
dc.typeArticle

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