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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
Swansea University Author:
Jiang-lun Wu
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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 |
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| ISSN: | 0044-2275 1420-9039 |
| Published: |
Springer Science and Business Media LLC
2020
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa53378 |
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| 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. |
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| Keywords: |
3D stochastic Burgers equations; global well-posedness; the Freidlin-Wentzell type large deviation principle. |
| Issue: |
1 |