On the Strong Solutions and the Structural Stability of the g-Benard Problem

被引：2

作者：

Ozluk, Muharrem ^{[1
,2
]}

Kaya, Meryem ^{[2
]}

机构：

[1] Batman Univ, Dept Math, TR-72060 Batman, Turkey

[2] Gazi Univ, Dept Math, Ankara, Turkey

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2018年 / 39卷 / 04期

关键词：

Benard problem; strong solutions; structural stability; NAVIER-STOKES EQUATIONS; THIN DOMAINS; INCOMPRESSIBLE FLUIDS; BOUNDARY; EXISTENCE;

D O I：

10.1080/01630563.2017.1350975

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a type of modified Boussinesq equations which is called g-Benard problem. We show the existence and uniqueness of strong solutions of the problem in two dimensions, and then, we investigate the continuous dependence of the solutions on the viscosity parameter.

引用

页码：383 / 397

页数：15

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