UNIQUENESS OF SOLUTION OF A HETEROGENEOUS EVOLUTION DAM PROBLEM ASSOCIATED WITH A COMPRESSIBLE FLUID FLOW THROUGH A RECTANGULAR POROUS MEDIUM

被引：0

作者：

Zaouche, Elmehdi ^{[1
,2
]}

机构：

[1] Univ El Oued, Dept Math, BP 789, El Oued 39000, Algeria

[2] Ecole Normale Super, Labo Part Diff Eq & Hist Maths, Vieux Kouba 16050, Algeria

来源：

GLASNIK MATEMATICKI | 2020年 / 55卷 / 01期

关键词：

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

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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(x(1))(u(x2)+chi)(x2)-(u+chi)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].

引用

页码：93 / 99

页数：7

共 50 条

[1] UNIQUENESS OF SOLUTION OF A NONLINEAR EVOLUTION DAM PROBLEM IN A HETEROGENEOUS POROUS MEDIUM
Ben Attia, Messaouda
Zaouche, Elmehdi
Bousselsal, Mahmoud
OPUSCULA MATHEMATICA, 2022, 42 (01) : 5 - 29
[2] UNIQUENESS OF SOLUTION IN A RECTANGULAR DOMAIN OF AN EVOLUTION DAM PROBLEM WITH HETEROGENEOUS COEFFICIENTS
Zaouche, Elmehdi
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[3] On the stability and uniqueness of the flow of a fluid through a porous medium
Hill, A. A.
Rajagopal, K. R.
Vergori, L.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2016, 67 (03):
[4] On the stability and uniqueness of the flow of a fluid through a porous medium
A. A. Hill
K. R. Rajagopal
L. Vergori
Zeitschrift für angewandte Mathematik und Physik, 2016, 67
[5] ON THE UNIQUENESS OF THE SOLUTION OF THE EVOLUTION DAM PROBLEM
CARRILLO, J
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (05) : 573 - 607
[6] On the uniqueness of the solution of a nonlinear filtration problem through a porous medium
Lyaghfouri, A
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1998, 6 (01) : 67 - 94
[7] On the uniqueness of the solution of a nonlinear filtration problem through a porous medium
Lyaghfouri A.
Calculus of Variations and Partial Differential Equations, 1997, 6 (1) : 67 - 94
[8] A shear flow problem for compressible viscous micropolar fluid: Uniqueness of a generalized solution
Simcic, Loredana
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (18) : 6358 - 6368
[9] UNIQUENESS OF SOLUTION OF THE PROBLEM OF THE FLOW ACROSS A DAM
MENENDEZ, JC
CHIPOT, M
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1981, 292 (03): : 191 - 194
[10] A free boundary problem for a fluid flow in a heterogeneous porous medium
A. Lyaghfouri
Annali dell’Università di Ferrara, 2003, 49 (1): : 209 - 262

← 1 2 3 4 5 →