Global existence of mild solutions for 3D stochastic Boussinesq system in Besov spaces

被引：0

作者：

Sun, Jinyi ^{[1
]}

Li, Ning ^{[1
,2
]}

Yang, Minghua ^{[3
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China

[2] Ningxia Normal Univ, Grad Sch, Guyuan, Peoples R China

[3] Jiangxi Univ Finance & Econ, Dept Math, Nanchang, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2025年 / 298卷 / 04期

基金：

中国国家自然科学基金;

关键词：

global solutions; stochastic Boussinesq system; NAVIER-STOKES EQUATIONS; 3-DIMENSIONAL PRIMITIVE EQUATIONS; WELL-POSEDNESS; REGULARITY; THEOREM;

D O I：

10.1002/mana.202300526

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is concerned with the three-dimensional stochastic Boussinesq system driven by an additive white noise, describing the motion of viscous incompressible fluids with density stratification phenomenon in the rotational framework. By striking new balances between the smoothing effects of the Laplacian dissipation and dispersion effects caused by the Coriolis force and density stratification, we prove existence and uniqueness of global mild solutions to the three-dimensional stochastic Boussinesq system for arbitrarily large initial data and stochastic external forces in Besov spaces, provided that the stratification parameter is large enough. Our results can be regarded as a generalization of [Math. Nachr. 290(2017), 613-631] and [Indiana Univ. Math. J. 66(2017), 2037-2070].

引用

页码：1105 / 1126

页数：22

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