SEAWATER INTRUSION PROBLEM IN A FREE AQUIFER: DERIVATION OF A SHARP--DIFFUSE INTERFACES MODEL AND EXISTENCE RESULT

Abstract : We derive a new model for seawater intrusion phenomenons in free aquifers. It combines the efficiency of the sharp interface approach with the physical realism of the diffuse interface one. The three-dimensional problem is reduced to a two-dimensional model involving a strongly coupled system of pdes of parabolic type describing the evolution of the depths of the two free surfaces.
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https://hal.archives-ouvertes.fr/hal-01057220
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Submitted on : Thursday, August 21, 2014 - 4:47:55 PM
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Catherine Choquet, Moussa Mory Diédhiou, Carole Rosier. SEAWATER INTRUSION PROBLEM IN A FREE AQUIFER: DERIVATION OF A SHARP--DIFFUSE INTERFACES MODEL AND EXISTENCE RESULT. 2014. ⟨hal-01057220⟩

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