Uniqueness of solution of a nonlinear evolution dam problem in a heterogeneous porous medium
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Published:2022
Issue:1
Volume:42
Page:5-29
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ISSN:1232-9274
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Container-title:Opuscula Mathematica
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language:en
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Short-container-title:Opuscula Math.
Author:
Attia Messaouda Ben,
Zaouche ElmehdiORCID,
Bousselsal Mahmoud
Abstract
By choosing convenient test functions and using the method of doubling variables, we prove the uniqueness of the solution to a nonlinear evolution dam problem in an arbitrary heterogeneous porous medium of \(\mathbb{R}^n\) (\(n\in \{2,3\}\)) with an impermeable horizontal bottom.
Publisher
AGHU University of Science and Technology Press
Subject
General Mathematics