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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 2

Existence of random attractors for strongly damped wave equations with multiplicative noise unbounded domain

Abdelmajid Ali Dafallah
Qiaozhen Ma
Ahmed Eshag Mohamed
Pages
492–510
Publication Date
2022-10-18
DOI
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⚡ TL;DR(Too Long; Didn't Read)

In this paper, we establish the existence of a random attractor for a random dynamical system generated by the non-autonomous wave equation with strong damping and multiplicative noise when the nonlinear term satisfies a critical growth condition.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we establish the existence of a random attractor for a random dynamical system generated by the non-autonomous wave equation with strong damping and multiplicative noise when the nonlinear term satisfies a critical growth condition.
📊
Key Findings & Data:In this paper, we establish the existence of a random attractor for a random dynamical system generated by the non-autonomous wave equation with strong damping and multiplicative noise when the nonlinear term satisfies a critical growth condition.
💡
Conclusion & Impact:In this paper, we establish the existence of a random attractor for a random dynamical system generated by the non-autonomous wave equation with strong damping and multiplicative noise when the nonlinear term satisfies a critical growth condition.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:stochastic strong damped wave equation · asymptotic behavior of solutions · random attractor

Abstract

In this paper, we establish the existence of a random attractor for a random dynamical system generated by the non-autonomous wave equation with strong damping and multiplicative noise when the nonlinear term satisfies a critical growth condition.

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Cite This Article

Dafallah, A. A., Ma, Q., Mohamed, A. E. (2022). Existence of random attractors for strongly damped wave equations with multiplicative noise unbounded domain. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 2, 492–510. https://ajindex.com/articles/529483

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