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Boussinesq方程温和解的全局适定性

周艳平 王珣 别群益

周艳平,王珣,别群益. Boussinesq方程温和解的全局适定性 [J]. 应用数学和力学,2022,43(8):920-926 doi: 10.21656/1000-0887.430036
引用本文: 周艳平,王珣,别群益. Boussinesq方程温和解的全局适定性 [J]. 应用数学和力学,2022,43(8):920-926 doi: 10.21656/1000-0887.430036
ZHOU Yanping, WANG Xun, BIE Qunyi. Global Well-Posedness of the Mild Solutions to the Boussinesq Equations[J]. Applied Mathematics and Mechanics, 2022, 43(8): 920-926. doi: 10.21656/1000-0887.430036
Citation: ZHOU Yanping, WANG Xun, BIE Qunyi. Global Well-Posedness of the Mild Solutions to the Boussinesq Equations[J]. Applied Mathematics and Mechanics, 2022, 43(8): 920-926. doi: 10.21656/1000-0887.430036

Boussinesq方程温和解的全局适定性

doi: 10.21656/1000-0887.430036
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

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

  • 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。

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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

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