Uniqueness of solution of a nonlinear evolution dam problem in a heterogeneous porous medium

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.

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Bibliographic Details
Published inRocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica Vol. 42; no. 1; pp. 5 - 29
Main Authors Attia, Messaouda Ben, Zaouche, Elmehdi, Bousselsal, Mahmoud
Format Journal Article
LanguageEnglish
Published AGH Univeristy of Science and Technology Press 2022
Subjects
heterogeneous porous medium
method of doubling variables
nonlinear evolution dam problem
test function
uniqueness
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Summary: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.
ISSN:1232-9274
DOI:10.7494/OpMath.2022.42.1.5