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

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

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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Veröffentlicht in:Statistics & probability letters 2022-03, Vol.182, p.109315, Article 109315
Hauptverfasser: Zhou, Guoli, Wang, Lidan, Wu, Jiang-Lun
Format: Artikel
Sprache:eng
Schlagworte:
Galerkin approximation
Global well-posedness
Maximum principle
Stochastic 2D Burgers equations
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Zusammenfassung: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.
ISSN:0167-7152
1879-2103
DOI:10.1016/j.spl.2021.109315