GLOBAL EXISTENCE FOR THE STOCHASTIC BOUSSINESQ EQUATIONS WITH TRANSPORT NOISE AND SMALL ROUGH DATA

被引：0

作者：

Lin, Quyuan ^{[1
]}

Liu, Rongchang ^{[2
]}

Wang, Weinan ^{[3
]}

机构：

[1] Clemson Univ, Sch Math & Stat Sci, Clemson, SC 29634 USA

[2] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

[3] Univ Oklahoma, Dept Math, Norman, OK 73019 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2024年 / 56卷 / 01期

关键词：

Key words. stochastic Boussinesq equations; transport noise; rough initial data; well-posedness; pathwise solution; NAVIER-STOKES EQUATIONS; WELL-POSEDNESS; PRIMITIVE EQUATIONS; EULER EQUATIONS; LOCAL EXISTENCE; REGULARITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the stochastic Boussinesq equations on T-3 with transport noise and rough initial data. We prove the existence and uniqueness of the local pathwise solution with initial data in L-p(Omega ; L-p) for p > 5. By assuming additional smallness on the initial data and the noise, we establish the global existence of the pathwise solution.

引用

页码：501 / 528

页数：28

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