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Existence and uniqueness of radial solutions for fresh/salt water interface equation in a confined aquifer.

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Title: Existence and uniqueness of radial solutions for fresh/salt water interface equation in a confined aquifer.
Authors: Hajj Chehade, H.1,2 hana.hajj.chehade@u-picardie.fr, Jazar, M.2 mjazar@ul.edu.lb, Mourad, A.3 ayman_imag@yahoo.fr
Source: Applied Mathematics & Computation. Oct2014, Vol. 244, p101-117. 17p.
Subjects: Existence theorems, Uniqueness (Mathematics), Saline waters, Aquifers, Computer simulation
Abstract: We prove existence and uniqueness of radial weak solutions of the doubly nonlinear parabolic equation u t = div [ D ( u ) ϕ ( ∇ u ) ] , where D and ϕ satisfy some hypothesis. This cover the particular case where D ( s ) = s ( 1 - s ) and ϕ ( p ) ≔ p / ( 1 + | p | 2 ) which is the hydrological case. Numerical simulations are provided also. [ABSTRACT FROM AUTHOR]
Copyright of Applied Mathematics & Computation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 97656981
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Existence and uniqueness of radial solutions for fresh/salt water interface equation in a confined aquifer.
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  Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+%26+Computation%22">Applied Mathematics & Computation</searchLink>. Oct2014, Vol. 244, p101-117. 17p.
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  Data: <searchLink fieldCode="DE" term="%22Existence+theorems%22">Existence theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Uniqueness+%28Mathematics%29%22">Uniqueness (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Saline+waters%22">Saline waters</searchLink><br /><searchLink fieldCode="DE" term="%22Aquifers%22">Aquifers</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink>
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  Data: We prove existence and uniqueness of radial weak solutions of the doubly nonlinear parabolic equation u t = div [ D ( u ) ϕ ( ∇ u ) ] , where D and ϕ satisfy some hypothesis. This cover the particular case where D ( s ) = s ( 1 - s ) and ϕ ( p ) ≔ p / ( 1 + | p | 2 ) which is the hydrological case. Numerical simulations are provided also. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Applied Mathematics & Computation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.amc.2014.06.044
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      – Code: eng
        Text: English
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        PageCount: 17
        StartPage: 101
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      – SubjectFull: Existence theorems
        Type: general
      – SubjectFull: Uniqueness (Mathematics)
        Type: general
      – SubjectFull: Saline waters
        Type: general
      – SubjectFull: Aquifers
        Type: general
      – SubjectFull: Computer simulation
        Type: general
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      – TitleFull: Existence and uniqueness of radial solutions for fresh/salt water interface equation in a confined aquifer.
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              Text: Oct2014
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              Value: 244
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