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

• Autorzy: Ben Attia Messaouda , Zaouche Elmehdi , Bousselsal Mahmoud

Identyfikatory

DOI

10.7494/OpMath.2022.42.1.5

• Języki publikacji: EN

Abstrakty

EN

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 Rn (n ∈ {2, 3}) with an impermeable horizontal bottom.

Słowa kluczowe

EN

test function; method of doubling variables; nonlinear evolution dam problem; heterogeneous porous medium; uniqueness

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2022
• Tom: Vol. 42, no. 1
• Strony: 5--29
• Opis fizyczny: Bibliogr. 24 poz., wykr.

Twórcy

autor

Ben Attia Messaouda

• University of Kasdi Merbah, Ouargla, Laboratory of Applied Mathematics, B.P. 511, Ouargla 30000, Algeria

autor

Zaouche Elmehdi

• University of El Oued, Department of Mathematics, Labo. Oper. Theo. and Part. Diff. Eq.: Foundations and Applications, B.P. 789, El Oued 39000, Algeria

• https://orcid.org/0000-0001-7777-9284

autor

Bousselsal Mahmoud

• Ecole Normale Supérieure, Department of Mathematics, Laboratoire des équations aux dérivées partielles et H.M., 16050, Vieux-Kouba, Algiers, Algeria

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).