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

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

doi: 10.21656/1000-0887.430036
  • Received Date: 2022-02-15
  • Rev Recd Date: 2022-06-10
  • Available Online: 2022-07-06
  • Publish Date: 2022-08-01
  • 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.

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