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

Yıl 2018, Cilt: 47 Sayı: 6, 1453 - 1466, 12.12.2018

Muharrem Özlük Meryem Kaya

Öz

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.

Anahtar Kelimeler

B\'{e}nard convection, existence and uniqueness of weak solutions, determining modes

Kaynakça

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