- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 6
- On the weak solutions and determining modes of the g-Benard problem
On the weak solutions and determining modes of the g-Benard problem
Authors : Muharrem Özlük, Meryem Kaya
Pages : 1453-1466
View : 13 | Download : 5
Publication Date : 2018-12-12
Article Type : Research
Abstract :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.Keywords : B'{e}nard convection, existence and uniqueness of weak solutions, determining modes