The asymptotic behavior of primitive equations with multiplicative noise Article Swipe
Rangrang Zhang
,
Guoli Zhou
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1801.09564
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1801.09564
This paper is concerned with the existence of invariant measure for 3D stochastic primitive equations driven by linear multiplicative noise under non-periodic boundary conditions. The common method is to apply Sobolev imbedding theorem to proving the tightness of the distribution of the solution. However, this method fails because of the non-linearity and non-periodic boundary conditions of the stochastic primitive equations. To overcome the difficulties, we show the existence of random attractor by proving the compact property and the regularity of the solution operator. Then we show the existence of invariant measure.
Related Topics
Concepts
Multiplicative noise
Attractor
Mathematics
Invariant measure
Sobolev space
Invariant (physics)
Multiplicative function
Mathematical analysis
Operator (biology)
Measure (data warehouse)
Primitive equations
Applied mathematics
Pure mathematics
Differential equation
Simultaneous equations
Computer science
Mathematical physics
Ergodic theory
Biochemistry
Analog signal
Gene
Database
Computer hardware
Transcription factor
Chemistry
Repressor
Digital signal processing
Signal transfer function
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/1801.09564
- https://arxiv.org/pdf/1801.09564
- OA Status
- green
- References
- 21
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2786786788
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W2786786788Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.1801.09564Digital Object Identifier
- Title
-
The asymptotic behavior of primitive equations with multiplicative noiseWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2018Year of publication
- Publication date
-
2018-01-26Full publication date if available
- Authors
-
Rangrang Zhang, Guoli ZhouList of authors in order
- Landing page
-
https://arxiv.org/abs/1801.09564Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/1801.09564Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/1801.09564Direct OA link when available
- Concepts
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Multiplicative noise, Attractor, Mathematics, Invariant measure, Sobolev space, Invariant (physics), Multiplicative function, Mathematical analysis, Operator (biology), Measure (data warehouse), Primitive equations, Applied mathematics, Pure mathematics, Differential equation, Simultaneous equations, Computer science, Mathematical physics, Ergodic theory, Biochemistry, Analog signal, Gene, Database, Computer hardware, Transcription factor, Chemistry, Repressor, Digital signal processing, Signal transfer functionTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- References (count)
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21Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.This | 0 |
| abstract_inverted_index.show | 65, 85 |
| abstract_inverted_index.this | 44 |
| abstract_inverted_index.with | 4 |
| abstract_inverted_index.apply | 29 |
| abstract_inverted_index.fails | 46 |
| abstract_inverted_index.noise | 19 |
| abstract_inverted_index.paper | 1 |
| abstract_inverted_index.under | 20 |
| abstract_inverted_index.common | 25 |
| abstract_inverted_index.driven | 15 |
| abstract_inverted_index.linear | 17 |
| abstract_inverted_index.method | 26, 45 |
| abstract_inverted_index.random | 69 |
| abstract_inverted_index.Sobolev | 30 |
| abstract_inverted_index.because | 47 |
| abstract_inverted_index.compact | 74 |
| abstract_inverted_index.measure | 9 |
| abstract_inverted_index.proving | 34, 72 |
| abstract_inverted_index.theorem | 32 |
| abstract_inverted_index.However, | 43 |
| abstract_inverted_index.boundary | 22, 53 |
| abstract_inverted_index.measure. | 90 |
| abstract_inverted_index.overcome | 61 |
| abstract_inverted_index.property | 75 |
| abstract_inverted_index.solution | 81 |
| abstract_inverted_index.attractor | 70 |
| abstract_inverted_index.concerned | 3 |
| abstract_inverted_index.equations | 14 |
| abstract_inverted_index.existence | 6, 67, 87 |
| abstract_inverted_index.imbedding | 31 |
| abstract_inverted_index.invariant | 8, 89 |
| abstract_inverted_index.operator. | 82 |
| abstract_inverted_index.primitive | 13, 58 |
| abstract_inverted_index.solution. | 42 |
| abstract_inverted_index.tightness | 36 |
| abstract_inverted_index.conditions | 54 |
| abstract_inverted_index.equations. | 59 |
| abstract_inverted_index.regularity | 78 |
| abstract_inverted_index.stochastic | 12, 57 |
| abstract_inverted_index.conditions. | 23 |
| abstract_inverted_index.distribution | 39 |
| abstract_inverted_index.non-periodic | 21, 52 |
| abstract_inverted_index.difficulties, | 63 |
| abstract_inverted_index.non-linearity | 50 |
| abstract_inverted_index.multiplicative | 18 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile |