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

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dc.contributor.authorChallal, Samia
dc.contributor.authorLyaghfouri, Abdeslem
dc.date.accessioned2020-11-20T15:08:14Z
dc.date.available2020-11-20T15:08:14Z
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 g.
dc.description.departmentMathematics
dc.formatText
dc.format.extent27 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationChallal, S., & Lyaghfouri, A. (2003). On the behavior of the interface separating fresh and salt groundwater in a heterogeneous coastal aquifer. <i>Electronic Journal of Differential Equations, 2003</i>(44), pp. 1-27.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12980
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectFresh-salt water
dc.subjectHeterogeneous aquifer
dc.subjectNonlinear Darcy's law
dc.subjectMonotone solutions
dc.subjectComparison and uniqueness
dc.subjectContinuity of the free boundary
dc.subjectLimit behavior
dc.titleOn the behavior of the interface separating fresh and salt groundwater in a heterogeneous coastal aquifer
dc.typeArticle

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