Glasnik matematički, Vol. 55 No. 1, 2020.
Izvorni znanstveni članak
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
Sažetak
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].
Ključne riječi
Heterogeneous evolution dam problem; compressible fluid flow; rectangular porous medium; uniqueness
Hrčak ID:
239049
URI
Datum izdavanja:
12.6.2020.
Posjeta: 1.233 *