WELL-POSEDNESS OF SOLUTIONS FOR THE 2D STOCHASTIC QUASI-GEOSTROPHIC EQUATION IN CRITICAL FOURIER-BESOV-MORREY SPACES

被引：0

作者：

Khaider, Hassan ^{[1
]}

Azanzal, Achraf ^{[2
]}

Raji, Abderrahmane ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Fac Sci & Technol Beni Mellal, Lab LMACS, BP 523, Beni Mellal 23000, Morocco

[2] Hassan First Univ, High Sch Educ & Format ESEF, Lab LEST, Settat, Morocco

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 2024卷 / 74期

关键词：

Ito integral; stochastic quasi-geostrophic equations; Fourier-Besov-Morrey spaces; partial differential equations;

D O I：

10.58997/ejde.2024.74

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In this article, we apply the Ito integral to obtain the global solutions for stochastic quasi-geostrophic equations in Fourier-Besov-Morrey spaces. For comparison we also give the corresponding results of the deterministic quasi-geostrophic equations. We assume the initial data is F0 measurable and the right-hand side is a random function in a Morrey space, to obtain the well posedness of stochastic quasi-geostrophic equations.

引用

页数：10

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