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Small global solutions to the damped two-dimensional Boussinesq equations. (English) Zbl 1290.35193
The paper considers the damped two-dimensional Boussinesq equations. By positioning the solutions in some homogeneous Besov space, it is shown that there exists a unique global solution to the damped Boussinesq equations under a small assumption of the given initial data in the same homogeneous Besov space.
Reviewer: Cheng He (Beijing)

##### MSC:
 35Q35 PDEs in connection with fluid mechanics 35B35 Stability in context of PDEs 35B65 Smoothness and regularity of solutions to PDEs 76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
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