Boussinesq方程温和解的全局适定性

周艳平; 王珣; 别群益

doi:10.21656/1000-0887.430036

Boussinesq方程温和解的全局适定性

doi: 10.21656/1000-0887.430036

三峡大学理学院，湖北宜昌 443002

基金项目: 国家自然科学基金(11901346；11871305)

详细信息

作者简介:
周艳平(1980—)，女，博士 (通讯作者. E-mail：zhyp5208@163.com)

王珣(1997—)，女，硕士生 (E-mail：3526403334@qq.com)

别群益(1970—)，男，教授，博士，博士生导师 (E-mail：qybie@126.com)

中图分类号: O175.2
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- 被引次数: 0
出版历程
- 收稿日期: 2022-02-15
- 修回日期: 2022-06-10
- 网络出版日期: 2022-07-06
- 刊出日期: 2022-08-01

Global Well-Posedness of the Mild Solutions to the Boussinesq Equations

College of Science, China Three Gorges University, Yichang, Hubei 443002, P.R.China

摘要

摘要:
Boussinesq方程作为描述许多地球物理现象的模型，是Navier-Stokes方程与热力学方程之间耦合的零阶近似。利用隐函数定理，研究带黏性高维Boussinesq系统，并得到了小初值位于尺度不变空间时温和解的全局适定性。
- Boussinesq方程 /
- 温和解 /
- 全局适定性
Abstract:
The Boussinesq system, as a model to describe many geophysical phenomena, is a zero-order approximation of the coupling between the Navier-Stokes equations and the thermodynamic equations. The multi-dimensional viscous Boussinesq equations were considered. By means of the implicit function theorem, the global well-posedness of the mild solutions was obtained with the small initial data in the scaling invariant spaces.
- Boussinesq equations /
- mild solution /
- global well-posedness

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参考文献(20)

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