Abstract
This paper is devoted to study the three-dimensional globally modified Navier–Stokes equations driven by additive white noise on some unbounded domains 𝒪. By using the Ornstein–Uhlenbeck process, we transfer the original equation to a random dynamical system, and then we prove the existence of pullback attractors for the random dynamical system equations under suitable conditions. Due to the unboundedness of the domains, we get the asymptotic compactness of the solutions by Ball’s idea of energy equations. The periodicity of the attractors is also proved when the deterministic non-autonomous external terms are periodic in time.
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Communicated by: Nikolai Leonenko
References
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Sandwiched filtrations
- Stochastic processes and mean square calculus on fractal curves
- Random attractors for three-dimensional stochastic globally modified Navier–Stokes equations driven by additive noise on unbounded domains
- Existence results for boundary value problems of Hadamard fractional differential equations on unbounded domain
- Stochastic maximum principle for partially observed optimal control problem of McKean–Vlasov FBSDEs with Teugels martingales
- Martingale solutions to stochastic nonlocal Cahn–Hilliard–Navier–Stokes systems with singular potentials driven by multiplicative noise of jump type
- Optional strong semimartingale inequalities for the strong Snell envelopes
Artikel in diesem Heft
- Frontmatter
- Sandwiched filtrations
- Stochastic processes and mean square calculus on fractal curves
- Random attractors for three-dimensional stochastic globally modified Navier–Stokes equations driven by additive noise on unbounded domains
- Existence results for boundary value problems of Hadamard fractional differential equations on unbounded domain
- Stochastic maximum principle for partially observed optimal control problem of McKean–Vlasov FBSDEs with Teugels martingales
- Martingale solutions to stochastic nonlocal Cahn–Hilliard–Navier–Stokes systems with singular potentials driven by multiplicative noise of jump type
- Optional strong semimartingale inequalities for the strong Snell envelopes