On the weak solutions and determining modes of the g-Benard problem

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Ozluk M., KAYA M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.47, sa.6, ss.1453-1466, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.15672/hjms.20174622762
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1453-1466
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper we study the existence and uniqueness of weak solutions of the g-Benard problem. Then, we investigate the long-term dynamics; specifically, we derive upper bounds for the number of determining modes for this system.