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Global well-posedness of 2D stochastic Burgers equations with multiplicative noise

Guoli Zhou, Lidan Wang Orcid Logo, 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...

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Published in: Statistics & Probability Letters
ISSN: 0167-7152 0167-7152
Published: Elsevier BV 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa58540
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.
Keywords: Stochastic 2D Burgers equations; global well-posedness; Galerkin approximation; maximum principle.
College: Faculty of Science and Engineering
Issue: March 2022
Start Page: 109315

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