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

Authors : Muharrem ÖZLÜK, Meryem KAYA

Pages : 1453-1466

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Publication Date : 2018-12-12

Article Type : Research Paper

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