Global attractor for the regularized Benard problem

KAYA M., ÇELEBİ A. O.

APPLICABLE ANALYSIS, vol.93, no.9, pp.1989-2001, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 93 Issue: 9
  • Publication Date: 2014
  • Doi Number: 10.1080/00036811.2013.867018
  • Journal Name: APPLICABLE ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1989-2001
  • Keywords: Benard problem, global attractor, weak solutions, CAMASSA-HOLM EQUATIONS, TURBULENCE, EXISTENCE, MODEL, DIMENSION, CHANNEL
  • Gazi University Affiliated: Yes

Abstract

In this paper, we study the asymptotic behaviour of weak solutions for the regularized Benard problem. We establish the global existence and uniqueness of weak solutions of this problem and give a proof for the existence of global attractor in the three-dimensional case for this system.