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

ZHOU Yanping; WANG Xun; BIE Qunyi

doi:10.21656/1000-0887.430036

Volume 43 Issue 8

Aug. 2022

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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

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

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

doi: 10.21656/1000-0887.430036

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

Received Date: 2022-02-15
Rev Recd Date: 2022-06-10

Available Online: 2022-07-06

Publish Date: 2022-08-01

Abstract

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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References(20)

References

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