Amplitude equations for SPDEs with cubic nonlinearity forced by general multiplicative Gaussian noise-Reference-Cited by-同舟云学术

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Amplitude equations for SPDEs with cubic nonlinearity forced by general multiplicative Gaussian noise

Published:2022-09-11 Issue:4 Volume:22 Page:
ISSN:1424-3199
Container-title:Journal of Evolution Equations
language:en
Short-container-title:J. Evol. Equ.

Author:

Qu Shiduo,Li Wenlei,Shi Shaoyun

Funder

National Natural Science Foundation of China grant

Science and Technology Development Project of Jilin Province

Program for Changbaishan Scholars of Jilin Province

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00028-022-00837-z.pdf

Reference37 articles.

1. L. A. Bianchi and D. Blömker, Modulation equation for SPDEs in unbounded domains with space-time white noise-linear theory, Stochastic Process. Appl. 126, 3171-3201, (2016) .https://doi.org/10.1016/j.spa.2016.04.024

2. L. A. Bianchi, D. Blömker and G. Schneider, Modulation equation and SPDEs on unbounded domains, Comm. Math. Phys. 371, 19-54, (2019) . https://doi.org/10.1007/s00220-019-03573-7

3. D. Blömker, Amplitude equations for stochastic partial differential equations, Interdisciplinary Mathematical Sciences, 3. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, (2007). https://doi.org/10.1142/6440

4. D. Blömker and H. Fu, The impact of multiplicative noise in SPDEs close to bifurcation via amplitude equations, Nonlinearity 33, 3905-3927, (2020).https://doi.org/10.1088/1361-6544/ab801e

5. D. Blömker and M. Hairer, Multiscale expansion of invariant measures for SPDEs, Comm. Math. Phys., 251, 515-555, (2004). https://doi.org/10.1007/s00220-004-1130-7

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