Journal article 902 views 299 downloads
Global well-posedness and large deviations for 3D stochastic Burgers equations
Rangrang Zhang,
Guoli Zhou,
Boling Guo,
Jiang-lun Wu
Zeitschrift für angewandte Mathematik und Physik, Volume: 71, Issue: 1, Start page: 30
Swansea University Author: Jiang-lun Wu
-
PDF | Accepted Manuscript
Download (190.69KB)
DOI (Published version): 10.1007/s00033-020-1259-z
Abstract
In this paper, we study the stochastic vector-valued Burgers equations with non − periodic boundary conditions. We first apply a contraction principle argument to show local existence and uniqueness of a mild solution to this model. Then, towards obtaining the global well-posedness, we derive a prio...
| Published in: | Zeitschrift für angewandte Mathematik und Physik |
|---|---|
| ISSN: | 0044-2275 1420-9039 |
| Published: |
Springer Science and Business Media LLC
2020
|
| Online Access: |
Check full text
|
| URI: | https://cronfa.swan.ac.uk/Record/cronfa53378 |
| Abstract: |
In this paper, we study the stochastic vector-valued Burgers equations with non − periodic boundary conditions. We first apply a contraction principle argument to show local existence and uniqueness of a mild solution to this model. Then, towards obtaining the global well-posedness, we derive a priori estimates of the local solution by utilising the maximum principle. Finally, we establish, by means of the weak convergence approach, the Freidlin-Wentzell type large deviation principle for 3D stochastic Burgers equations when the noise term goes to zero. |
|---|---|
| Keywords: |
3D stochastic Burgers equations; global well-posedness; the Freidlin-Wentzell type large deviation principle. |
| College: |
Faculty of Science and Engineering |
| Funders: |
This work was partially supported by NNSF of China (Grant Nos. 11971077, 11801032), Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences (No. 2008DP173182), China Postdoctoral Science Foundation funded project (No. 2018M641204), Natural Science Foundation Project of CQ (Grant No. cstc2016jcyjA0326), Fundamental Research Funds for the Central Universities (Grant Nos. 2018CDXYST0024, 63181314) and China Scholarship Council (Grant No.201506055003). |
| Issue: |
1 |
| Start Page: |
30 |