ON THE EXISTENCE OF A SOLUTION OF A CLASS OF NON-STATIONARY FREE BOUNDARY PROBLEMS

被引：0

作者：

Bousselsal, Mahmoud ^{[1
]}

Lyaghfouri, Abdeslem ^{[2
]}

Zaouche, Elmehdi ^{[3
]}

机构：

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

[2] Amer Univ Ras Al Khaimah, Dept Math & Nat Sci, Ras Al Khaymah, U Arab Emirates

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

来源：

GLASNIK MATEMATICKI | 2018年 / 53卷 / 02期

关键词：

Parabolic free boundary problems; evolution dam problem; existence; regularity; DAM PROBLEM; FILTRATION PROBLEM; UNIQUENESS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of parabolic free boundary problems with heterogeneous coefficients including, from a physical point of view, the evolutionary dam problem. We establish existence of a solution for this problem. We use a regularized problem for which we prove existence of a solution by applying the Tychonoff fixed point theorem. Then we pass to the limit to get a solution of our problem. We also give a regularity result of the solutions.

引用

页码：449 / 475

页数：27

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