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May 21, 2026Mathematica Slovaca

Continuity of pullback random attractors for three-dimensional stochastic globally modified Navier–Stokes equations

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Authors

HHHo Thi HangBMBui Kim MyPNPham Tri Nguyen

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Overview

Randomized analysis establishes continuity of pullback random attractors in three-dimensional stochastic systems, suggesting deeper insights into complex dynamics.

Key Points

  • To prove the continuity in expectation of pullback random attractors for three-dimensional stochastic globally modified Navier–Stokes equations.
  • Analyzed the pullback random attractors under multiplicative white noise and time-dependent forces.
  • Proved local compactness of the attractors using the Hausdorff metric.
  • Established continuity in expectation of pullback random attractors concerning the Hausdorff metric.
  • Derived two types of continuities: residual dense continuity and full upper semicontinuity.

Cite This Study

Hang et al. (2026) studied this question.

synapsesocial.com/papers/6a0ea196be05d6e3efb60648https://doi.org/10.1515/ms-2026-0035
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Also Consider

Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Asymptotic behaviour of solutions to stochastic three-dimensional globally modified Navier–Stokes equations2022 · 7 citations
  2. 2A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations2016 · 75 citations