The stationary Oseen equations in R2

被引：0
作者：
Ben Ayed, Sabria [1 ,2 ]
Meslameni, Mohamed [3 ,4 ]
机构：
[1] Qassim Univ, Coll Sci, Dept Math, POB 6644, Buraydah 51482, Saudi Arabia
[2] Univ Sfax, Preparatory Inst Engn Studies Sfax, Sfax,, Tunisia
[3] Sfax Univ, Fac Sci, Lab Stabil & Control Syst, Sfax, Tunisia
[4] Tunis Univ, Preparatory Inst Engn Studies, Tunis, Tunisia
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2024年 / 193卷
关键词：
2D Oseen equations; Weak solutions; Strong solutions; Very weak solutions; Weighted Sobolev spaces; NAVIER-STOKES EQUATIONS; WEIGHTED SOBOLEV SPACES; WEAK SOLUTIONS; OPERATOR; DOMAINS;
D O I：
10.1016/j.bulsci.2024.103453
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to investigate the Oseen problem in R-2. The established results are related to the existence and the uniqueness of weak, strong and very weak solutions on L-p-theory for any real 1 < p < infinity. Since the domain is considered as unbounded, we set the problem in weighted spaces in order to control the behaviors at infinity of functions. (c) 2024 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：21
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