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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.9
- 수록면
- 1,369 - 1,393 (25page)
- DOI
- 10.4134/BKMS.b230635
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초록· 키워드
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This paper is devoted to studying the long-time behavior for the three-dimensional stochastic globally modified Navier-Stokes equations driven by a linear multiplicative white noise on some unbounded domains $\mathcal{O}.$ By using the Ornstein-Uhlenbeck process, we first transfer the original equation to a random dynamical system, and then prove the existence of pullback attractors as well as the upper semicontinuity of the attractors for the random dynamical system equations under suitable conditions. Due to the unboundedness of the domains, the asymptotic compactness of the solutions is proved by Ball's idea of energy equations. The periodicity of the attractors is also obtained when the deterministic non-autonomous external terms are periodic in time. Our results extend and generalize some existing results.
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