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Global well-posedness of 2D stochastic Burgers equations with multiplicative noise
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Jiang-lun Wu
Statistics & Probability Letters, Volume: 182, Issue: March 2022, Start page: 109315
Swansea University Author:
Jiang-lun Wu
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DOI (Published version): 10.1016/j.spl.2021.109315
Abstract
In this article, we study 2D stochastic Burgers equations driven by linear multiplicative noise, and with non-periodic boundary conditions. We first apply Galerkin approximation method to show the local existence and uniqueness of strong solutions, we then establish the global well-posedness for str...
| Published in: | Statistics & Probability Letters |
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| ISSN: | 0167-7152 0167-7152 |
| Published: |
Elsevier BV
2022
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa58540 |
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| Abstract: |
In this article, we study 2D stochastic Burgers equations driven by linear multiplicative noise, and with non-periodic boundary conditions. We first apply Galerkin approximation method to show the local existence and uniqueness of strong solutions, we then establish the global well-posedness for strong solutions by utilizing the maximum principle. |
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| Keywords: |
Stochastic 2D Burgers equations; global well-posedness; Galerkin approximation; maximum principle. |
| College: |
Faculty of Science and Engineering |
| Issue: |
March 2022 |
| Start Page: |
109315 |