Large and Moderate Deviations Principles and Central Limit Theorem for the Stochastic 3D Primitive Equations with Gradient-Dependent Noise
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F22%3A00561775" target="_blank" >RIV/67985556:_____/22:00561775 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10959-021-01125-1" target="_blank" >https://link.springer.com/article/10.1007/s10959-021-01125-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10959-021-01125-1" target="_blank" >10.1007/s10959-021-01125-1</a>
Alternative languages
Result language
angličtina
Original language name
Large and Moderate Deviations Principles and Central Limit Theorem for the Stochastic 3D Primitive Equations with Gradient-Dependent Noise
Original language description
We establish the large deviations principle (LDP) and the moderate deviations principle (MDP) and an almost sure version of the central limit theorem (CLT) for the stochastic 3D viscous primitive equations driven by a multiplicative white noise allowing dependence on spatial gradient of solutions with initial data in H2. The LDP is established using the weak convergence approach of Budjihara and Dupuis and uniform version of the stochastic Gronwall lemma. The result corrects a minor technical issue in Z. Dong, J. Zhai, and R. Zhang: Large deviations principles for 3D stochastic primitive equations, J. Differential Equations, 263(5):3110–3146, 2017, and establishes the result for a more general noise. The MDP is established using a similar argument.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Theoretical Probability
ISSN
0894-9840
e-ISSN
1572-9230
Volume of the periodical
35
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
46
Pages from-to
1736-1781
UT code for WoS article
000688431300002
EID of the result in the Scopus database
2-s2.0-85113387774