Existence of Random Attractors for a Stochastic Strongly Damped Plate Equations with Multiplicative Noise

Autor: Mohamed Y. A. Bakhet, Makur Makuac Chinor, Abdelmajid Ali Dafallah, Fadlallah Mustafa Mosa, Paride O. Lolika, Sulieman A. S. Jomah, Ahmed Eshag Mohamed
Rok vydání: 2023
Předmět:
Zdroj: Asian Research Journal of Mathematics. :17-35
ISSN: 2456-477X
DOI: 10.9734/arjom/2023/v19i2641
Popis: 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.
Databáze: OpenAIRE