Global attractor for the regularized Benard problem

KAYA M., ÇELEBİ A. O.

APPLICABLE ANALYSIS, cilt.93, sa.9, ss.1989-2001, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 93 Sayı: 9
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1080/00036811.2013.867018
  • Dergi Adı: APPLICABLE ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1989-2001
  • Anahtar Kelimeler: Benard problem, global attractor, weak solutions, CAMASSA-HOLM EQUATIONS, TURBULENCE, EXISTENCE, MODEL, DIMENSION, CHANNEL
  • Gazi Üniversitesi Adresli: Evet

Özet

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.