Existence and asymptotic autonomous robustness of random attractors for three-dimensional stochastic globally modified Navier-Stokes equations on unbounded domains Article Swipe
Kush Kinra
,
Manil T. Mohan
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2406.07460
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2406.07460
In this article, we discuss the existence and asymptotically autonomous robustness (AAR) (almost surely) of random attractors for 3D stochastic globally modified Navier-Stokes equations (SGMNSE) on Poincaré domains (which may be bounded or unbounded). Our aim is to investigate the existence and AAR of random attractors for 3D SGMNSE when the time-dependent forcing converges to a time-independent function under the perturbation of linear multiplicative noise as well as additive noise. The main approach is to provide a way to justify that, on some uniformly tempered universe, the usual pullback asymptotic compactness of the solution operators is uniform across an infinite time-interval $(-\infty,τ]$. The backward uniform ``tail-smallness'' and ``flattening-property'' of the solutions over $(-\infty,τ]$ have been demonstrated to achieve this goal. To the best of our knowledge, this is the first attempt to establish the existence as well as AAR of random attractors for 3D SGMNSE on unbounded domains.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2406.07460
- https://arxiv.org/pdf/2406.07460
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4399655888
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https://openalex.org/W4399655888Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2406.07460Digital Object Identifier
- Title
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Existence and asymptotic autonomous robustness of random attractors for three-dimensional stochastic globally modified Navier-Stokes equations on unbounded domainsWork title
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preprintOpenAlex work type
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-06-11Full publication date if available
- Authors
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Kush Kinra, Manil T. MohanList of authors in order
- Landing page
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https://arxiv.org/abs/2406.07460Publisher landing page
- PDF URL
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https://arxiv.org/pdf/2406.07460Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2406.07460Direct OA link when available
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Attractor, Robustness (evolution), Mathematics, Applied mathematics, Mathematical analysis, Computer science, Gene, Biochemistry, ChemistryTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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