Ergodicity for the 3D stochastic Navier–Stokes equations perturbed by Lévy noise
Mathematische Nachrichten, ISSN: 1522-2616, Vol: 292, Issue: 5, Page: 1056-1088
2019
- 14Citations
- 131Usage
- 7Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Metrics Details
- Citations14
- Citation Indexes14
- 14
- CrossRef8
- Usage131
- Downloads97
- Abstract Views34
- Captures7
- Readers7
Article Description
In this work we construct a Markov family of martingale solutions for 3D stochastic Navier–Stokes equations (SNSE) perturbed by Lévy noise with periodic boundary conditions. Using the Kolmogorov equations of integrodifferential type associated with the SNSE perturbed by Lévy noise, we construct a transition semigroup and establish the existence of a unique invariant measure. We also show that it is ergodic and strongly mixing.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85057765039&origin=inward; http://dx.doi.org/10.1002/mana.201700339; https://onlinelibrary.wiley.com/doi/10.1002/mana.201700339; https://scholar.afit.edu/facpub/458; https://scholar.afit.edu/cgi/viewcontent.cgi?article=1467&context=facpub; https://dx.doi.org/10.1002/mana.201700339
Wiley
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