Existence of Random Attractors for a Stochastic Strongly Damped Plate Equations with Multiplicative Noise
Mohamed Y. A. Bakhet, Makur Makuac Chinor, Abdelmajid Ali Dafallah, Fadlallah Mustafa Mosa, Paride O. Lolika, Sulieman A. S. Jomah, Ahmed Eshag Mohamed
Asian Research Journal of Mathematics · pp. 17–35 · Published 20 Feb 2023
10.9734/arjom/2023/v19i2641Abstract
In this article, we study the asymptotic dynamics of a stochastic strongly damped plate system with homogeneous Neumann boundary conditions and multiplicative noise. First, we investigate the existence and uniqueness of solutions in infinite-dimensional dynamical systems using the notion of mild solutions, and then we examine the presence of a bounded absorbing set. Finally, we investigate the asymptotic compactness by using the decomposition technique to prove the existence of a random attractor.
Cited by 1
Mohamed Y. A. Bakhet, Abdelmajid Ali Dafallah, Jing Wang · Journal of Applied Mathematics and Physics · 2024
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