LDP and CLT for SPDEs with transport noise
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s40072-023-00292-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7493 |
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oai:localhost:PNK-74932023-04-04T07:21:10Z LDP and CLT for SPDEs with transport noise Lucio, Galeati Dejun, Luo corresponding deterministic PDE dimension D≥2 and 2D Euler equations CC BY In this work we consider solutions to stochastic partial differential equations with transport noise, which are known to converge, in a suitable scaling limit, to solution of the corresponding deterministic PDE with an additional viscosity term. Large deviations and Gaussian fluctuations underlying such scaling limit are investigated in two cases of interest: stochastic linear transport equations in dimension D≥2 and 2D Euler equations in vorticity form. In both cases, a central limit theorem with strong convergence and explicit rate is established. The proofs rely on nontrivial tools, like the solvability of transport equations with supercritical coefficients and Γ-convergence arguments. 2023-04-04T07:21:10Z 2023-04-04T07:21:10Z 2023 Book https://link.springer.com/article/10.1007/s40072-023-00292-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7493 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
corresponding deterministic PDE dimension D≥2 and 2D Euler equations |
| spellingShingle |
corresponding deterministic PDE dimension D≥2 and 2D Euler equations Lucio, Galeati Dejun, Luo LDP and CLT for SPDEs with transport noise |
| description |
CC BY |
| format |
Book |
| author |
Lucio, Galeati Dejun, Luo |
| author_facet |
Lucio, Galeati Dejun, Luo |
| author_sort |
Lucio, Galeati |
| title |
LDP and CLT for SPDEs with transport noise |
| title_short |
LDP and CLT for SPDEs with transport noise |
| title_full |
LDP and CLT for SPDEs with transport noise |
| title_fullStr |
LDP and CLT for SPDEs with transport noise |
| title_full_unstemmed |
LDP and CLT for SPDEs with transport noise |
| title_sort |
ldp and clt for spdes with transport noise |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s40072-023-00292-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7493 |
| _version_ |
1762274899683966976 |
| score |
8.891145 |