Original scientific paper

https://doi.org/10.3336/gm.55.1.08

Uniqueness of solution of a heterogeneous evolution dam problem associated with a compressible fluid flow through a rectangular porous medium

Elmehdi Zaouche ; Department of Mathematics, University of EL Oued, B. P. 789 El Oued 39000, Labo. Part. Diff. Eq. & Hist. Maths, Ecole Normale Supérieure, 16050 Vieux-Kouba Algiers, Algeria

Abstract

This paper is concerned with the uniqueness of a weak solution of an evolution dam problem arising in a compressible fluid flow through a two-dimensional, rectangular, and heterogeneous porous medium. Our problem is associated with the equation a(x1)(ux2+χ)x2-(u+χ)t=0. The technique we use is based on a transformation of the weak form of this equation into a similar one that enables us to argue as in [12].

Keywords

Heterogeneous evolution dam problem; compressible fluid flow; rectangular porous medium; uniqueness

Hrčak ID:

239049

URI

https://hrcak.srce.hr/239049

Publication date:

12.6.2020.

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