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arXiv · 1702.06737

Analytical smoothing effect of solution for the boussinesq equations

F Cheng·C. -J Xu
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Abstract

In this paper, 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 H 1-solution to the incompressible Boussinesq equations in periodic domain is analytic for any positive time. So the incompressible Boussinesq equation admet exactly same smoothing effect properties of incompressible Navier-Stokes equations.

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F Cheng, C. -J Xu. 2017-02-22. Analytical smoothing effect of solution for the boussinesq equations. https://arxiv.org/abs/1702.06737

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