Global Existence and Uniqueness of Pathwise Solution to the Stochastic 2D Inviscid Boussinesq Equations

被引：0

作者：

Zhang, Shijia ^{[1
]}

Zhou, Guoli ^{[1
]}

机构：

[1] Chongqing Univ, Sch Stat & Math, Chongqing 400044, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICS AND STATISTICS | 2025年

基金：

中国国家自然科学基金;

关键词：

Stochastic Boussinesq equations; Regularity; Gevrey spaces; WELL-POSEDNESS; REGULARITY; SYSTEM;

D O I：

10.1007/s40304-024-00431-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Global well-posedness of 2D inviscid Boussinesq equations is unsolved. In the present work, we find that if this inviscid hydrodynamics equation is perturbed by noise, the global well-posedness holds in high probability with initial data satisfies a certain Gevrey-type bound. Moreover, the unique global solution to the stochastic inviscid 2D Boussinesq equation is bounded by the initial data.

引用

页数：28

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