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

共 50 条

[21] On the global well-posedness of the critical quasi-geostrophic equation
Abidi, Hammadi
Hmidi, Taoufik
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2008, 40 (01) : 167 - 185
[22] Local well-posedness for the quasi-geostrophic equations in Besov–Lorentz spaces
Qian Zhang
Yehua Zhang
Rendiconti del Circolo Matematico di Palermo Series 2, 2020, 69 : 53 - 70
[23] A uniform Besov boundedness and the well-posedness of the generalized dissipative quasi-geostrophic equation in the critical Besov space
Chen, Yanping
Guo, Zihua
Tian, Tian
FORUM MATHEMATICUM, 2024, 36 (02) : 403 - 416
[24] Global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces
Hmidi, Taoufik
Keraani, Saw
ADVANCES IN MATHEMATICS, 2007, 214 (02) : 618 - 638
[25] WELL-POSEDNESS AND ANALYTICITY FOR GENERALIZED NAVIER-STOKES EQUATIONS IN CRITICAL FOURIER-BESOV-MORREY SPACES
Azanzal, Achraf
Allalou, Chakir
Abbassi, Adil
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2021, 2021
[26] On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces
Dong, Hongjie
Li, Dong
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (11) : 2684 - 2702
[27] GLOBAL SOLUTIONS OF THE 2D DISSIPATIVE QUASI-GEOSTROPHIC EQUATION IN BESOV SPACES
Wu, Jiahong
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2005, 36 (03) : 1014 - 1030
[28] Local well-posedness for the quasi-geostrophic equations in Besov-Lorentz spaces
Zhang, Qian
Zhang, Yehua
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2020, 69 (01) : 53 - 70
[29] Well-posedness of quasi-geostrophic equations with data in Besov-Q spaces
Li, Pengtao
Yang, Qixiang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 94 : 243 - 258
[30] Global Well-Posedness and Analyticity of Generalized Porous Medium Equation in Fourier-Besov-Morrey Spaces with Variable Exponent
Abidin, Muhammad Zainul
Chen, Jiecheng
MATHEMATICS, 2021, 9 (05) : 1 - 13

← 1 2 3 4 5 →