In this article, we study the analytical smoothing effect of Cauchy problem for the incompressible Boussinesq equations. Precisely, we use the Fourier method to prove that the Sobolev H1-solution to the incompressible Boussinesq equations in periodic domain is analytic for any positive time. So the incompressible Boussinesq equations admit exactly same smoothing effect properties of incompressible Navier-Stokes equations.
Feng CHENG
,
Chaojiang XU
. ANALYTICAL SMOOTHING EFFECT OF SOLUTION FOR THE BOUSSINESQ EQUATIONS[J]. Acta mathematica scientia, Series B, 2019
, 39(1)
: 165
-179
.
DOI: 10.1007/s10473-019-0114-9
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