On the Strong Solutions and the Structural Stability of the g-Bénard Problem. (12th March 2018)

• Record Type: Journal Article
• Authors: Özlük, Muharrem; Kaya, Meryem
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 4(2018)
• Page Start: 383
• Page End: 397
• Publication Date: 2018-03-12
• Subjects: Bénard problem -- strong solutions -- structural stability; 35Q35 -- 76D03 -- 35B30; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1350975
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we study a type of modified Boussinesq equations which is called g-Bénard 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.