UNIQUENESS OF SOLUTION OF A NONLINEAR EVOLUTION DAM PROBLEM IN A HETEROGENEOUS POROUS MEDIUM

被引：0

作者：

Ben Attia, Messaouda ^{[1
]}

Zaouche, Elmehdi ^{[2
]}

Bousselsal, Mahmoud ^{[3
]}

机构：

[1] Univ Kasdi Merbah, Lab Appl Math, BP 511, Ouargla 30000, Algeria

[2] Univ El Oued, Dept Math, Lab Oper Theo & Part Diff Eq Fdn & Applicat, BP 789, El Oued 39000, Algeria

[3] Ecole Normale Super, Dept Math, Lab Equat Derivees Partielles & HM, Algiers 16050, Algeria

来源：

OPUSCULA MATHEMATICA | 2022年 / 42卷 / 01期

关键词：

test function; method of doubling variables; nonlinear evolution dam problem; heterogeneous porous medium; uniqueness; FREE-BOUNDARY PROBLEM; RENORMALIZED SOLUTIONS; ENTROPY SOLUTIONS; CAUCHY-PROBLEM; FLOW;

D O I：

10.7494/OpMath.2022.42.1.5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 R-n (n is an element of {2, 3}) with an impermeable horizontal bottom.

引用

页码：5 / 29

页数：25

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