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

Guoli Zhou, Lidan Wang and Jiang-Lun Wu

Statistics & Probability Letters, 2022, vol. 182, issue C

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 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spl.2021.109315

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